Generalizations of Sobolev’s Consistency and Values for TU-Games

Generalizations of Sobolev’s Consistency and Values for TU-Games

In the framework of cooperative game theory, Sobolev (Advances in game theory, Izdat., “Minitis”, Vilnius, pp 151–153, 1973) axiomatized the well-known Shapley value by means of consistency property with reference to a specifically chosen reduced game. The goal of this paper is to generalize Sobolev...

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Veröffentlicht in:Journal of the Operations Research Society of China (Internet) 2021-06, Vol.9 (2), p.343-357
Hauptverfasser: Su, Jun, Driessen, Theo S. H., Xu, Gen-Jiu
Format: Artikel
Sprache:eng
Schlagworte:
Consistency
Cooperation
Efficiency
Egalitarianism
Game theory
Games
Symmetry
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Zusammenfassung:In the framework of cooperative game theory, Sobolev (Advances in game theory, Izdat., “Minitis”, Vilnius, pp 151–153, 1973) axiomatized the well-known Shapley value by means of consistency property with reference to a specifically chosen reduced game. The goal of this paper is to generalize Sobolev’s consistency approach to the class of efficient, symmetric and linear values.
ISSN:2194-668X
2194-6698
DOI:10.1007/s40305-019-00279-4