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...
Ausführliche Beschreibung
Autor*in: |
Gilles, Robert Paul [verfasserIn] Mallozzi, Lina [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2023 |
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Rechteinformationen: |
Open Access Namensnennung 4.0 International ; CC BY 4.0 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Games - Basel : MDPI, 2010, 14(2023), 5 vom: Okt., Artikel-ID 64, Seite 1-19 |
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Übergeordnetes Werk: |
volume:14 ; year:2023 ; number:5 ; month:10 ; elocationid:64 ; pages:1-19 |
Links: |
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DOI / URN: |
10.3390/g14050064 |
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Katalog-ID: |
1870599950 |
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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 |
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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 |
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Game theoretic foundations of the gately power measure for directed networks Robert P. Gilles and Lina Mallozzi |
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game theoretic foundations of the gately power measure for directed networks |
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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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Game theoretic foundations of the gately power measure for directed networks |
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