NDLI: Understanding the coincidence of allocation rules: symmetry and orthogonality in TU-games

Content Provider	Springer Nature Link
Author	Sánchez Rodríguez, Estela González Díaz, Julio
Copyright Year	2014
Abstract	The main goal of this paper is to understand the reasons driving the coincidence of different allocation rules for different classes of games. We define a new symmetry property, reverse symmetry, and study its geometric and game theoretic implications. In particular, we show that most classic allocation rules satisfy it. Then, we introduce and study a notion of orthogonality between TU-games, which allows to establish a restricted additivity property for the nucleolus. Also, in our analysis we identify different classes of games for which all allocation rules satisfying some sets of basic properties coincide. These properties are satisfied, among others, by the Shapley value and the nucleolus.
Ending Page	843
Page Count	23
Starting Page	821
File Format	PDF
ISSN	00207276
e-ISSN	14321270
Journal	International Journal of Game Theory
Issue Number	4
Volume Number	43
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-01-16
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Operations Research/Decision Theory Economic Theory TU games Coincidence of allocation rules Game Theory/Mathematical Methods Orthogonality Game Theory, Economics, Social and Behav. Sciences Cooperative games Symmetry
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Social Sciences Economics and Econometrics Statistics, Probability and Uncertainty

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