Game theoretic foundations of the gately power measure for directed networks

We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a...
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Gespeichert in:

Autor*in:	Gilles, Robert Paul [verfasserIn] Mallozzi, Lina [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Rechteinformationen:	Open Access Namensnennung 4.0 International ; CC BY 4.0

Schlagwörter:	cooperative game authority network network centrality measure Gately measure axiomatisation

Übergeordnetes Werk:	Enthalten in: Games - Basel : MDPI, 2010, 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19
Übergeordnetes Werk:	volume:14 ; year:2023 ; number:5 ; month:10 ; elocationid:64 ; pages:1-19

Links:	Link aufrufen Link aufrufen

DOI / URN:	10.3390/g14050064

Katalog-ID:	1870599950

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publishDate	2023
allfields	10.3390/g14050064 doi (DE-627)1870599950 (DE-599)KXP1870599950 DE-627 ger DE-627 rda eng A14 C71 D20 jelc Gilles, Robert Paul verfasserin (DE-588)170800903 (DE-627)06093641X (DE-576)131652486 aut Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi 2023 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 We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ cooperative game (dpeaa)DE-206 authority network (dpeaa)DE-206 network centrality measure (dpeaa)DE-206 Gately measure (dpeaa)DE-206 axiomatisation (dpeaa)DE-206 Mallozzi, Lina verfasserin (DE-588)137768702 (DE-627)595134033 (DE-576)305091662 aut Enthalten in Games Basel : MDPI, 2010 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19 https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522 Verlag kostenfrei https://doi.org/10.3390/g14050064 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 14 2023 5 10 64 1-19 26 01 0206 4411119404 x1z 17-11-23 2403 01 DE-LFER 4427656773 00 --%%-- --%%-- n --%%-- l01 06-12-23 2403 01 DE-LFER https://doi.org/10.3390/g14050064 2403 01 DE-LFER https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522
spelling	10.3390/g14050064 doi (DE-627)1870599950 (DE-599)KXP1870599950 DE-627 ger DE-627 rda eng A14 C71 D20 jelc Gilles, Robert Paul verfasserin (DE-588)170800903 (DE-627)06093641X (DE-576)131652486 aut Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi 2023 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 We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ cooperative game (dpeaa)DE-206 authority network (dpeaa)DE-206 network centrality measure (dpeaa)DE-206 Gately measure (dpeaa)DE-206 axiomatisation (dpeaa)DE-206 Mallozzi, Lina verfasserin (DE-588)137768702 (DE-627)595134033 (DE-576)305091662 aut Enthalten in Games Basel : MDPI, 2010 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19 https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522 Verlag kostenfrei https://doi.org/10.3390/g14050064 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 14 2023 5 10 64 1-19 26 01 0206 4411119404 x1z 17-11-23 2403 01 DE-LFER 4427656773 00 --%%-- --%%-- n --%%-- l01 06-12-23 2403 01 DE-LFER https://doi.org/10.3390/g14050064 2403 01 DE-LFER https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522
allfields_unstemmed	10.3390/g14050064 doi (DE-627)1870599950 (DE-599)KXP1870599950 DE-627 ger DE-627 rda eng A14 C71 D20 jelc Gilles, Robert Paul verfasserin (DE-588)170800903 (DE-627)06093641X (DE-576)131652486 aut Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi 2023 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 We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ cooperative game (dpeaa)DE-206 authority network (dpeaa)DE-206 network centrality measure (dpeaa)DE-206 Gately measure (dpeaa)DE-206 axiomatisation (dpeaa)DE-206 Mallozzi, Lina verfasserin (DE-588)137768702 (DE-627)595134033 (DE-576)305091662 aut Enthalten in Games Basel : MDPI, 2010 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19 https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522 Verlag kostenfrei https://doi.org/10.3390/g14050064 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 14 2023 5 10 64 1-19 26 01 0206 4411119404 x1z 17-11-23 2403 01 DE-LFER 4427656773 00 --%%-- --%%-- n --%%-- l01 06-12-23 2403 01 DE-LFER https://doi.org/10.3390/g14050064 2403 01 DE-LFER https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522
allfieldsGer	10.3390/g14050064 doi (DE-627)1870599950 (DE-599)KXP1870599950 DE-627 ger DE-627 rda eng A14 C71 D20 jelc Gilles, Robert Paul verfasserin (DE-588)170800903 (DE-627)06093641X (DE-576)131652486 aut Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi 2023 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 We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ cooperative game (dpeaa)DE-206 authority network (dpeaa)DE-206 network centrality measure (dpeaa)DE-206 Gately measure (dpeaa)DE-206 axiomatisation (dpeaa)DE-206 Mallozzi, Lina verfasserin (DE-588)137768702 (DE-627)595134033 (DE-576)305091662 aut Enthalten in Games Basel : MDPI, 2010 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19 https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522 Verlag kostenfrei https://doi.org/10.3390/g14050064 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 14 2023 5 10 64 1-19 26 01 0206 4411119404 x1z 17-11-23 2403 01 DE-LFER 4427656773 00 --%%-- --%%-- n --%%-- l01 06-12-23 2403 01 DE-LFER https://doi.org/10.3390/g14050064 2403 01 DE-LFER https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522
allfieldsSound	10.3390/g14050064 doi (DE-627)1870599950 (DE-599)KXP1870599950 DE-627 ger DE-627 rda eng A14 C71 D20 jelc Gilles, Robert Paul verfasserin (DE-588)170800903 (DE-627)06093641X (DE-576)131652486 aut Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi 2023 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 We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure. DE-206 Namensnennung 4.0 International CC BY 4.0 cc https://creativecommons.org/licenses/by/4.0/ cooperative game (dpeaa)DE-206 authority network (dpeaa)DE-206 network centrality measure (dpeaa)DE-206 Gately measure (dpeaa)DE-206 axiomatisation (dpeaa)DE-206 Mallozzi, Lina verfasserin (DE-588)137768702 (DE-627)595134033 (DE-576)305091662 aut Enthalten in Games Basel : MDPI, 2010 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 Online-Ressource (DE-627)614096553 (DE-600)2527220-2 (DE-576)31395867X 2073-4336 nnns volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19 https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522 Verlag kostenfrei https://doi.org/10.3390/g14050064 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 14 2023 5 10 64 1-19 26 01 0206 4411119404 x1z 17-11-23 2403 01 DE-LFER 4427656773 00 --%%-- --%%-- n --%%-- l01 06-12-23 2403 01 DE-LFER https://doi.org/10.3390/g14050064 2403 01 DE-LFER https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522
language	English
source	Enthalten in Games 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19
sourceStr	Enthalten in Games 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 volume:14 year:2023 number:5 month:10 elocationid:64 pages:1-19
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institution	findex.gbv.de
selectbib_iln_str_mv	26@1z 2403@01
topic_facet	cooperative game authority network network centrality measure Gately measure axiomatisation
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container_title	Games
authorswithroles_txt_mv	Gilles, Robert Paul @@aut@@ Mallozzi, Lina @@aut@@
publishDateDaySort_date	2023-10-01T00:00:00Z
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topic_title	A14 C71 D20 jelc Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi cooperative game (dpeaa)DE-206 authority network (dpeaa)DE-206 network centrality measure (dpeaa)DE-206 Gately measure (dpeaa)DE-206 axiomatisation (dpeaa)DE-206
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title	Game theoretic foundations of the gately power measure for directed networks
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title_full	Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi
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title_sort	game theoretic foundations of the gately power measure for directed networks
title_auth	Game theoretic foundations of the gately power measure for directed networks
abstract	We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure.
abstractGer	We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure.
abstract_unstemmed	We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the 𝛽-measure, and construct an axiomatisation of the Gately measure.
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title_short	Game theoretic foundations of the gately power measure for directed networks
url	https://www.mdpi.com/2073-4336/14/5/64/pdf?version=1695717522 https://doi.org/10.3390/g14050064
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Game theoretic foundations of the gately power measure for directed networks

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