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Contributions to Game Theory and Management, 2009, Volume 2, Pages 334–343
(Mi cgtm60)
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This article is cited in 2 scientific papers (total in 2 papers)
Proportionality in Bargaining Games: status quo-Proportional Solution and Consistency
Sergey L. Pecherskyab a St. Petersburg Institute for Economics and Mathematics, RAS, Tchaikowski str. 1, St. Petersburg, 191187, Russia
b European University at St. Petersburg
Abstract:
The status quo-proportional solution for bargaining games is studied. The consistency of the solution is proved, and it is used to give an axiomatic characterization of this solution. The logarithmic transformation of player's utilities is considered and is used to establish the relation between some bargaining solutions: the Nash bargaining solution, the egalitarian, the utilitarian and the status quo-proportional solutions.
Keywords:
bargaining games, bargaining solutions, Nash solution, status quo-proportional solution, consistency.
Citation:
Sergey L. Pechersky, “Proportionality in Bargaining Games: status quo-Proportional Solution and Consistency”, Contributions to Game Theory and Management, 2 (2009), 334–343
Linking options:
https://www.mathnet.ru/eng/cgtm60 https://www.mathnet.ru/eng/cgtm/v2/p334
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