Quantum mean-field games with the observations of counting type

Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kolokolʹcov, Vassilij N. - 1959- [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Rechteinformationen:	Open Access Namensnennung 4.0 International ; CC BY 4.0

Schlagwörter:	Belavkin equation mean field games of jump type on manifolds nonlinear stochastic Schrödinger equation observation of counting type quantum control quantum dynamic law of large numbers quantum filtering quantum interacting particles quantum mean field games

Übergeordnetes Werk:	Enthalten in: Games - Basel : MDPI, 2010, 12(2021), 1/7 vom: März, Seite 1-14
Übergeordnetes Werk:	volume:12 ; year:2021 ; number:1/7 ; month:03 ; pages:1-14

Links:	Link aufrufen Link aufrufen Link aufrufen

DOI / URN:	10.3390/g12010007

Katalog-ID:	1749096641

Internformat


LEADER	01000caa a2200265 4500
001	1749096641
003	DE-627
005	20220530071931.0
007	cr uuu---uuuuu
008	210222s2021 xx \|\|\|\|\|o 00\| \|\|eng c
024	7		\|a 10.3390/g12010007 \|2 doi
024	7		\|a 10419/257490 \|2 hdl
035			\|a (DE-627)1749096641
035			\|a (DE-599)KXP1749096641
040			\|a DE-627 \|b ger \|c DE-627 \|e rda
041			\|a eng
100	1		\|a Kolokolʹcov, Vassilij N. \|d 1959- \|e verfasserin \|0 (DE-588)121728633 \|0 (DE-627)250016362 \|0 (DE-576)178687626 \|4 aut
245	1	0	\|a Quantum mean-field games with the observations of counting type \|c Vassili N. Kolokoltsov
264		1	\|c 2021
336			\|a Text \|b txt \|2 rdacontent
337			\|a Computermedien \|b c \|2 rdamedia
338			\|a Online-Ressource \|b cr \|2 rdacarrier
506	0		\|q DE-206 \|a Open Access \|e Controlled Vocabulary for Access Rights \|u http://purl.org/coar/access_right/c_abf2
520			\|a Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.
540			\|q DE-206 \|a Namensnennung 4.0 International \|f CC BY 4.0 \|2 cc \|u https://creativecommons.org/licenses/by/4.0/
650		4	\|a Belavkin equation \|7 (dpeaa)DE-206
650		4	\|a mean field games of jump type on manifolds \|7 (dpeaa)DE-206
650		4	\|a nonlinear stochastic Schrödinger equation \|7 (dpeaa)DE-206
650		4	\|a observation of counting type \|7 (dpeaa)DE-206
650		4	\|a quantum control \|7 (dpeaa)DE-206
650		4	\|a quantum dynamic law of large numbers \|7 (dpeaa)DE-206
650		4	\|a quantum filtering \|7 (dpeaa)DE-206
650		4	\|a quantum interacting particles \|7 (dpeaa)DE-206
650		4	\|a quantum mean field games \|7 (dpeaa)DE-206
773	0	8	\|i Enthalten in \|t Games \|d Basel : MDPI, 2010 \|g 12(2021), 1/7 vom: März, Seite 1-14 \|h Online-Ressource \|w (DE-627)614096553 \|w (DE-600)2527220-2 \|w (DE-576)31395867X \|x 2073-4336 \|7 nnns
773	1	8	\|g volume:12 \|g year:2021 \|g number:1/7 \|g month:03 \|g pages:1-14
856	4	0	\|u https://www.mdpi.com/2073-4336/12/1/7/pdf \|x Verlag \|z kostenfrei
856	4	0	\|u https://doi.org/10.3390/g12010007 \|x Resolving-System \|z kostenfrei
856	4	0	\|u http://hdl.handle.net/10419/257490 \|x Resolving-System \|z kostenfrei
912			\|a GBV_USEFLAG_U
912			\|a GBV_ILN_26
912			\|a ISIL_DE-206
912			\|a SYSFLAG_1
912			\|a GBV_KXP
912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
912			\|a GBV_ILN_2403
912			\|a GBV_ILN_2403
912			\|a ISIL_DE-LFER
951			\|a AR
952			\|d 12 \|j 2021 \|e 1/7 \|c 3 \|h 1-14
980			\|2 26 \|1 01 \|x 0206 \|b 3869306327 \|y x1z \|z 22-02-21
980			\|2 2403 \|1 01 \|x DE-LFER \|b 3883160814 \|c 00 \|f --%%-- \|d --%%-- \|e n \|j --%%-- \|y l01 \|z 09-03-21
981			\|2 2403 \|1 01 \|x DE-LFER \|r https://doi.org/10.3390/g12010007
981			\|2 2403 \|1 01 \|x DE-LFER \|r https://www.mdpi.com/2073-4336/12/1/7/pdf

Indexfelder

author_variant	v n k vn vnk
matchkey_str	article:20734336:2021----::unumafedaewttebevto
hierarchy_sort_str	2021
publishDate	2021
allfields	10.3390/g12010007 doi 10419/257490 hdl (DE-627)1749096641 (DE-599)KXP1749096641 DE-627 ger DE-627 rda eng Kolokolʹcov, Vassilij N. 1959- verfasserin (DE-588)121728633 (DE-627)250016362 (DE-576)178687626 aut Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier DE-206 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Belavkin equation (dpeaa)DE-206 mean field games of jump type on manifolds (dpeaa)DE-206 nonlinear stochastic Schrödinger equation (dpeaa)DE-206 observation of counting type (dpeaa)DE-206 quantum control (dpeaa)DE-206 quantum dynamic law of large numbers (dpeaa)DE-206 quantum filtering (dpeaa)DE-206 quantum interacting particles (dpeaa)DE-206 quantum mean field games (dpeaa)DE-206 Enthalten in Games Basel : MDPI, 2010 12(2021), 1/7 vom: März, Seite 1-14 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:12 year:2021 number:1/7 month:03 pages:1-14 https://www.mdpi.com/2073-4336/12/1/7/pdf Verlag kostenfrei https://doi.org/10.3390/g12010007 Resolving-System kostenfrei http://hdl.handle.net/10419/257490 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2026 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 12 2021 1/7 3 1-14 26 01 0206 3869306327 x1z 22-02-21 2403 01 DE-LFER 3883160814 00 --%%-- --%%-- n --%%-- l01 09-03-21 2403 01 DE-LFER https://doi.org/10.3390/g12010007 2403 01 DE-LFER https://www.mdpi.com/2073-4336/12/1/7/pdf
spelling	10.3390/g12010007 doi 10419/257490 hdl (DE-627)1749096641 (DE-599)KXP1749096641 DE-627 ger DE-627 rda eng Kolokolʹcov, Vassilij N. 1959- verfasserin (DE-588)121728633 (DE-627)250016362 (DE-576)178687626 aut Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier DE-206 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Belavkin equation (dpeaa)DE-206 mean field games of jump type on manifolds (dpeaa)DE-206 nonlinear stochastic Schrödinger equation (dpeaa)DE-206 observation of counting type (dpeaa)DE-206 quantum control (dpeaa)DE-206 quantum dynamic law of large numbers (dpeaa)DE-206 quantum filtering (dpeaa)DE-206 quantum interacting particles (dpeaa)DE-206 quantum mean field games (dpeaa)DE-206 Enthalten in Games Basel : MDPI, 2010 12(2021), 1/7 vom: März, Seite 1-14 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:12 year:2021 number:1/7 month:03 pages:1-14 https://www.mdpi.com/2073-4336/12/1/7/pdf Verlag kostenfrei https://doi.org/10.3390/g12010007 Resolving-System kostenfrei http://hdl.handle.net/10419/257490 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2026 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 12 2021 1/7 3 1-14 26 01 0206 3869306327 x1z 22-02-21 2403 01 DE-LFER 3883160814 00 --%%-- --%%-- n --%%-- l01 09-03-21 2403 01 DE-LFER https://doi.org/10.3390/g12010007 2403 01 DE-LFER https://www.mdpi.com/2073-4336/12/1/7/pdf
allfields_unstemmed	10.3390/g12010007 doi 10419/257490 hdl (DE-627)1749096641 (DE-599)KXP1749096641 DE-627 ger DE-627 rda eng Kolokolʹcov, Vassilij N. 1959- verfasserin (DE-588)121728633 (DE-627)250016362 (DE-576)178687626 aut Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier DE-206 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Belavkin equation (dpeaa)DE-206 mean field games of jump type on manifolds (dpeaa)DE-206 nonlinear stochastic Schrödinger equation (dpeaa)DE-206 observation of counting type (dpeaa)DE-206 quantum control (dpeaa)DE-206 quantum dynamic law of large numbers (dpeaa)DE-206 quantum filtering (dpeaa)DE-206 quantum interacting particles (dpeaa)DE-206 quantum mean field games (dpeaa)DE-206 Enthalten in Games Basel : MDPI, 2010 12(2021), 1/7 vom: März, Seite 1-14 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:12 year:2021 number:1/7 month:03 pages:1-14 https://www.mdpi.com/2073-4336/12/1/7/pdf Verlag kostenfrei https://doi.org/10.3390/g12010007 Resolving-System kostenfrei http://hdl.handle.net/10419/257490 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2026 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 12 2021 1/7 3 1-14 26 01 0206 3869306327 x1z 22-02-21 2403 01 DE-LFER 3883160814 00 --%%-- --%%-- n --%%-- l01 09-03-21 2403 01 DE-LFER https://doi.org/10.3390/g12010007 2403 01 DE-LFER https://www.mdpi.com/2073-4336/12/1/7/pdf
allfieldsGer	10.3390/g12010007 doi 10419/257490 hdl (DE-627)1749096641 (DE-599)KXP1749096641 DE-627 ger DE-627 rda eng Kolokolʹcov, Vassilij N. 1959- verfasserin (DE-588)121728633 (DE-627)250016362 (DE-576)178687626 aut Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier DE-206 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Belavkin equation (dpeaa)DE-206 mean field games of jump type on manifolds (dpeaa)DE-206 nonlinear stochastic Schrödinger equation (dpeaa)DE-206 observation of counting type (dpeaa)DE-206 quantum control (dpeaa)DE-206 quantum dynamic law of large numbers (dpeaa)DE-206 quantum filtering (dpeaa)DE-206 quantum interacting particles (dpeaa)DE-206 quantum mean field games (dpeaa)DE-206 Enthalten in Games Basel : MDPI, 2010 12(2021), 1/7 vom: März, Seite 1-14 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:12 year:2021 number:1/7 month:03 pages:1-14 https://www.mdpi.com/2073-4336/12/1/7/pdf Verlag kostenfrei https://doi.org/10.3390/g12010007 Resolving-System kostenfrei http://hdl.handle.net/10419/257490 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2026 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 12 2021 1/7 3 1-14 26 01 0206 3869306327 x1z 22-02-21 2403 01 DE-LFER 3883160814 00 --%%-- --%%-- n --%%-- l01 09-03-21 2403 01 DE-LFER https://doi.org/10.3390/g12010007 2403 01 DE-LFER https://www.mdpi.com/2073-4336/12/1/7/pdf
allfieldsSound	10.3390/g12010007 doi 10419/257490 hdl (DE-627)1749096641 (DE-599)KXP1749096641 DE-627 ger DE-627 rda eng Kolokolʹcov, Vassilij N. 1959- verfasserin (DE-588)121728633 (DE-627)250016362 (DE-576)178687626 aut Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier DE-206 Open Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_abf2 Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ Belavkin equation (dpeaa)DE-206 mean field games of jump type on manifolds (dpeaa)DE-206 nonlinear stochastic Schrödinger equation (dpeaa)DE-206 observation of counting type (dpeaa)DE-206 quantum control (dpeaa)DE-206 quantum dynamic law of large numbers (dpeaa)DE-206 quantum filtering (dpeaa)DE-206 quantum interacting particles (dpeaa)DE-206 quantum mean field games (dpeaa)DE-206 Enthalten in Games Basel : MDPI, 2010 12(2021), 1/7 vom: März, Seite 1-14 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:12 year:2021 number:1/7 month:03 pages:1-14 https://www.mdpi.com/2073-4336/12/1/7/pdf Verlag kostenfrei https://doi.org/10.3390/g12010007 Resolving-System kostenfrei http://hdl.handle.net/10419/257490 Resolving-System kostenfrei GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2026 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 GBV_ILN_2403 GBV_ILN_2403 ISIL_DE-LFER AR 12 2021 1/7 3 1-14 26 01 0206 3869306327 x1z 22-02-21 2403 01 DE-LFER 3883160814 00 --%%-- --%%-- n --%%-- l01 09-03-21 2403 01 DE-LFER https://doi.org/10.3390/g12010007 2403 01 DE-LFER https://www.mdpi.com/2073-4336/12/1/7/pdf
language	English
source	Enthalten in Games 12(2021), 1/7 vom: März, Seite 1-14 volume:12 year:2021 number:1/7 month:03 pages:1-14
sourceStr	Enthalten in Games 12(2021), 1/7 vom: März, Seite 1-14 volume:12 year:2021 number:1/7 month:03 pages:1-14
format_phy_str_mv	Article
building	26:1 2403:0
institution	findex.gbv.de
selectbib_iln_str_mv	26@1z 2403@01
topic_facet	Belavkin equation mean field games of jump type on manifolds nonlinear stochastic Schrödinger equation observation of counting type quantum control quantum dynamic law of large numbers quantum filtering quantum interacting particles quantum mean field games
isfreeaccess_bool	true
container_title	Games
authorswithroles_txt_mv	Kolokolʹcov, Vassilij N. @@aut@@
publishDateDaySort_date	2021-03-01T00:00:00Z
hierarchy_top_id	614096553
id	1749096641
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">1749096641</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220530071931.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210222s2021 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.3390/g12010007</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10419/257490</subfield><subfield code="2">hdl</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)1749096641</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1749096641</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kolokolʹcov, Vassilij N.</subfield><subfield code="d">1959-</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(DE-588)121728633</subfield><subfield code="0">(DE-627)250016362</subfield><subfield code="0">(DE-576)178687626</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Quantum mean-field games with the observations of counting type</subfield><subfield code="c">Vassili N. Kolokoltsov</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="q">DE-206</subfield><subfield code="a">Open Access</subfield><subfield code="e">Controlled Vocabulary for Access Rights</subfield><subfield code="u">http://purl.org/coar/access_right/c_abf2</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="q">DE-206</subfield><subfield code="a">Namensnennung 4.0 International</subfield><subfield code="f">CC BY 4.0</subfield><subfield code="2">cc</subfield><subfield code="u">https://creativecommons.org/licenses/by/4.0/</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Belavkin equation</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">mean field games of jump type on manifolds</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonlinear stochastic Schrödinger equation</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">observation of counting type</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum control</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum dynamic law of large numbers</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum filtering</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum interacting particles</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum mean field games</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Games</subfield><subfield code="d">Basel : MDPI, 2010</subfield><subfield code="g">12(2021), 1/7 vom: März, Seite 1-14</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)614096553</subfield><subfield code="w">(DE-600)2527220-2</subfield><subfield code="w">(DE-576)31395867X</subfield><subfield code="x">2073-4336</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:12</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:1/7</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:1-14</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.mdpi.com/2073-4336/12/1/7/pdf</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.3390/g12010007</subfield><subfield code="x">Resolving-System</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://hdl.handle.net/10419/257490</subfield><subfield code="x">Resolving-System</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_26</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ISIL_DE-206</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_1</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_KXP</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_90</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_206</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_702</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2007</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2026</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2055</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2111</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2403</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2403</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ISIL_DE-LFER</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">12</subfield><subfield code="j">2021</subfield><subfield code="e">1/7</subfield><subfield code="c">3</subfield><subfield code="h">1-14</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">01</subfield><subfield code="x">0206</subfield><subfield code="b">3869306327</subfield><subfield code="y">x1z</subfield><subfield code="z">22-02-21</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="b">3883160814</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">n</subfield><subfield code="j">--%%--</subfield><subfield code="y">l01</subfield><subfield code="z">09-03-21</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="r">https://doi.org/10.3390/g12010007</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="r">https://www.mdpi.com/2073-4336/12/1/7/pdf</subfield></datafield></record></collection>
standort_str_mv	--%%--
standort_iln_str_mv	2403:--%%-- DE-LFER:--%%--
author	Kolokolʹcov, Vassilij N. 1959-
spellingShingle	Kolokolʹcov, Vassilij N. 1959- misc Belavkin equation misc mean field games of jump type on manifolds misc nonlinear stochastic Schrödinger equation misc observation of counting type misc quantum control misc quantum dynamic law of large numbers misc quantum filtering misc quantum interacting particles misc quantum mean field games Quantum mean-field games with the observations of counting type
authorStr	Kolokolʹcov, Vassilij N. 1959-
ppnlink_with_tag_str_mv	@@773@@(DE-627)614096553
format	electronic Article
delete_txt_mv	keep
author_role	aut
typewithnormlink_str_mv	Person@(DE-588)121728633 DifferentiatedPerson@(DE-588)121728633
collection	KXP GVK SWB
remote_str	true
last_changed_iln_str_mv	26@22-02-21 2403@09-03-21
illustrated	Not Illustrated
issn	2073-4336
topic_title	Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov Belavkin equation (dpeaa)DE-206 mean field games of jump type on manifolds (dpeaa)DE-206 nonlinear stochastic Schrödinger equation (dpeaa)DE-206 observation of counting type (dpeaa)DE-206 quantum control (dpeaa)DE-206 quantum dynamic law of large numbers (dpeaa)DE-206 quantum filtering (dpeaa)DE-206 quantum interacting particles (dpeaa)DE-206 quantum mean field games (dpeaa)DE-206
topic	misc Belavkin equation misc mean field games of jump type on manifolds misc nonlinear stochastic Schrödinger equation misc observation of counting type misc quantum control misc quantum dynamic law of large numbers misc quantum filtering misc quantum interacting particles misc quantum mean field games
topic_unstemmed	misc Belavkin equation misc mean field games of jump type on manifolds misc nonlinear stochastic Schrödinger equation misc observation of counting type misc quantum control misc quantum dynamic law of large numbers misc quantum filtering misc quantum interacting particles misc quantum mean field games
topic_browse	misc Belavkin equation misc mean field games of jump type on manifolds misc nonlinear stochastic Schrödinger equation misc observation of counting type misc quantum control misc quantum dynamic law of large numbers misc quantum filtering misc quantum interacting particles misc quantum mean field games
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
standort_txtP_mv	--%%--
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	cr
hierarchy_parent_title	Games
normlinkwithtype_str_mv	(DE-588)121728633@Person (DE-588)121728633@DifferentiatedPerson
hierarchy_parent_id	614096553
signature	--%%--
signature_str_mv	--%%--
hierarchy_top_title	Games
isfreeaccess_txt	true
familylinks_str_mv	(DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X
normlinkwithrole_str_mv	(DE-588)121728633@@aut@@
title	Quantum mean-field games with the observations of counting type
ctrlnum	(DE-627)1749096641 (DE-599)KXP1749096641
title_full	Quantum mean-field games with the observations of counting type Vassili N. Kolokoltsov
author_sort	Kolokolʹcov, Vassilij N. 1959-
journal	Games
journalStr	Games
callnumber-first-code	-
lang_code	eng
isOA_bool	true
recordtype	marc
publishDateSort	2021
contenttype_str_mv	txt
container_start_page	1
author_browse	Kolokolʹcov, Vassilij N.
selectkey	26:x 2403:l
container_volume	12
format_se	Elektronische Aufsätze
author-letter	Kolokolʹcov, Vassilij N.
doi_str_mv	10.3390/g12010007
normlink	121728633 250016362 178687626
normlink_prefix_str_mv	(DE-588)121728633 (DE-627)250016362 (DE-576)178687626
title_sort	quantum mean-field games with the observations of counting type
title_auth	Quantum mean-field games with the observations of counting type
abstract	Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.
abstractGer	Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.
abstract_unstemmed	Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.
collection_details	GBV_USEFLAG_U GBV_ILN_26 ISIL_DE-206 SYSFLAG_1 GBV_KXP GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2026 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 GBV_ILN_2403 ISIL_DE-LFER
container_issue	1/7
title_short	Quantum mean-field games with the observations of counting type
url	https://www.mdpi.com/2073-4336/12/1/7/pdf https://doi.org/10.3390/g12010007 http://hdl.handle.net/10419/257490
ausleihindikator_str_mv	26 2403:n
rolewithnormlink_str_mv	@@aut@@(DE-588)121728633
remote_bool	true
ppnlink	614096553
GND_str_mv	Kolokoltsov, Vassili N. Kolokoltsov, Vassili Kolokoltsov, Vassili Nikitich Kolokol'tzov, Vassili N. Kolokolʹcov, Vassilij Nikitič Kolokolʹcov, Vassilij N.
GND_txt_mv	Kolokoltsov, Vassili N. Kolokoltsov, Vassili Kolokoltsov, Vassili Nikitich Kolokol'tzov, Vassili N. Kolokolʹcov, Vassilij Nikitič Kolokolʹcov, Vassilij N.
GND_txtF_mv	Kolokoltsov, Vassili N. Kolokoltsov, Vassili Kolokoltsov, Vassili Nikitich Kolokol'tzov, Vassili N. Kolokolʹcov, Vassilij Nikitič Kolokolʹcov, Vassilij N.
mediatype_str_mv	c
isOA_txt	true
hochschulschrift_bool	false
doi_str	10.3390/g12010007
callnumber-a	--%%--
up_date	2024-07-04T18:51:17.016Z
_version_	1803675581302177792
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">1749096641</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220530071931.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210222s2021 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.3390/g12010007</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10419/257490</subfield><subfield code="2">hdl</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)1749096641</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1749096641</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kolokolʹcov, Vassilij N.</subfield><subfield code="d">1959-</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(DE-588)121728633</subfield><subfield code="0">(DE-627)250016362</subfield><subfield code="0">(DE-576)178687626</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Quantum mean-field games with the observations of counting type</subfield><subfield code="c">Vassili N. Kolokoltsov</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="q">DE-206</subfield><subfield code="a">Open Access</subfield><subfield code="e">Controlled Vocabulary for Access Rights</subfield><subfield code="u">http://purl.org/coar/access_right/c_abf2</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Quantum games and mean-field games (MFG) represent two important new branches of game theory. In a recent paper the author developed quantum MFGs merging these two branches. These quantum MFGs were based on the theory of continuous quantum observations and filtering of diffusive type. In the present paper we develop the analogous quantum MFG theory based on continuous quantum observations and filtering of counting type. However, proving existence and uniqueness of the solutions for resulting limiting forward-backward system based on jump-type processes on manifolds seems to be more complicated than for diffusions. In this paper we only prove that if a solution exists, then it gives an ϵ-Nash equilibrium for the corresponding N-player quantum game. The existence of solutions is suggested as an interesting open problem.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="q">DE-206</subfield><subfield code="a">Namensnennung 4.0 International</subfield><subfield code="f">CC BY 4.0</subfield><subfield code="2">cc</subfield><subfield code="u">https://creativecommons.org/licenses/by/4.0/</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Belavkin equation</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">mean field games of jump type on manifolds</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonlinear stochastic Schrödinger equation</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">observation of counting type</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum control</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum dynamic law of large numbers</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum filtering</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum interacting particles</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum mean field games</subfield><subfield code="7">(dpeaa)DE-206</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Games</subfield><subfield code="d">Basel : MDPI, 2010</subfield><subfield code="g">12(2021), 1/7 vom: März, Seite 1-14</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)614096553</subfield><subfield code="w">(DE-600)2527220-2</subfield><subfield code="w">(DE-576)31395867X</subfield><subfield code="x">2073-4336</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:12</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:1/7</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:1-14</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.mdpi.com/2073-4336/12/1/7/pdf</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.3390/g12010007</subfield><subfield code="x">Resolving-System</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://hdl.handle.net/10419/257490</subfield><subfield code="x">Resolving-System</subfield><subfield code="z">kostenfrei</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_26</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ISIL_DE-206</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_1</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_KXP</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_90</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_206</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_702</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2007</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2011</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2026</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2055</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2111</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2403</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2403</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ISIL_DE-LFER</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">12</subfield><subfield code="j">2021</subfield><subfield code="e">1/7</subfield><subfield code="c">3</subfield><subfield code="h">1-14</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">26</subfield><subfield code="1">01</subfield><subfield code="x">0206</subfield><subfield code="b">3869306327</subfield><subfield code="y">x1z</subfield><subfield code="z">22-02-21</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="b">3883160814</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">n</subfield><subfield code="j">--%%--</subfield><subfield code="y">l01</subfield><subfield code="z">09-03-21</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="r">https://doi.org/10.3390/g12010007</subfield></datafield><datafield tag="981" ind1=" " ind2=" "><subfield code="2">2403</subfield><subfield code="1">01</subfield><subfield code="x">DE-LFER</subfield><subfield code="r">https://www.mdpi.com/2073-4336/12/1/7/pdf</subfield></datafield></record></collection>
score	7.4007044

Nicht das Richtige dabei?

Schreiben Sie uns!

Quantum mean-field games with the observations of counting type

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?