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An axiomatization of the prekernel of nontransferable utility games
Serrano, Roberto; Shimomura, Ken Ichi - Department of Economics and Business, Universitat … - 1996
We characterize the prekernel of NTU games by means of consistency, converse consistency, and five axioms of the Nash …
Persistent link: https://www.econbiz.de/10005827494
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Claims problems and weighted generalizations of the Talmud rule
Hokari, Toru; Thomson, William - In: Economic Theory 21 (2003) 2, pp. 241-261
We investigate the existence of consistent rules for the resolution of conflicting claims that generalize the Talmud rule but do not necessarily satisfy equal treatment of equal. The first approach we follow starts from the description of the Talmud rule in the two-claimant case as...
Persistent link: https://www.econbiz.de/10005178700
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Consistency, converse consistency, and aspirations in coalitional games
HOKARI, T.; KIBRIS, Ö. - Center for Operations Research and Econometrics (CORE), … - 2001
In the problems of choosing "aspirations" for coalitional games, we study two axioms, "MW-consistency" and "converse MW-consistency …. In particular, westudy which subsolutions of the aspiration correspondence satisfy MW-consistency and/or converse …
Persistent link: https://www.econbiz.de/10005043659
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On the core: complement-reduced game and max-reduced game
Hwang, Yan-An - In: International Journal of Game Theory 42 (2013) 2, pp. 339-355
This paper presents two characterizations of the core on the domain of all NTU games. One is based on consistency with … respect to “complement-reduced game” and converse consistency with respect to “max-reduced game”. The other is based on … consistency with respect to “max-reduced game” and weak converse consistency with respect to “complement-reduced game”. Besides …
Persistent link: https://www.econbiz.de/10010993386
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Axiomatic and strategic justifications for the constrained equal benefits rule in the airport problem
Hu, Cheng-Cheng; Tsay, Min-Hung; Yeh, Chun-Hsien - In: Games and Economic Behavior 75 (2012) 1, pp. 185-197
consistency and LS converse consistency, in the airport problem. First, on the basis of the two properties, we characterize the …-stage extensive form game that exploits LS bilateral consistency and LS converse consistency. We show that there is a unique …
Persistent link: https://www.econbiz.de/10011049883
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Axiomatization and Implementation of Discounted Shapley Values
van den Brink, Rene; Funaki, Yukihiko - 2010
We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
Persistent link: https://www.econbiz.de/10010326064
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Axiomatization and implementation of discounted shapley values
Brink, René van den; Funaki, Yukihiko - 2010
We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
Persistent link: https://www.econbiz.de/10011380928
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Axiomatization and Implementation of Discounted Shapley Values
Brink, Rene van den; Funaki, Yukihiko - Tinbergen Institute - 2010
We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
Persistent link: https://www.econbiz.de/10008838630
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New Axiomatizations and an Implementation of the Shapley Value
Kongo, T.; Funaki, Y.; Tijs, S.H. - Tilburg University, Center for Economic Research - 2007
Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.
Persistent link: https://www.econbiz.de/10011091658
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Axiomatization and Implementation of Discounted Shapley Values
Brink, Rene van den; Funaki, Yukihiko - Tinbergen Instituut - 2010
We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
Persistent link: https://www.econbiz.de/10011257081