Béal, Sylvain and Rémila, Eric and Solal, Philippe (2012): Axioms of invariance for TUgames.

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Abstract
We introduce new axioms for the class of all TUgames with a fixed but arbitrary player set, which require either invariance of an allocation rule or invariance of the payoff assigned by an allocation rule to a specified subset of players in two related TUgames. Comparisons with other axioms are provided. These new axioms are used to characterize the Shapley value, the equal division rule, the equal surplus division rule and the Banzhaf value. The classical axioms of efficiency, anonymity, symmetry and additivity are not used.
Item Type:  MPRA Paper 

Original Title:  Axioms of invariance for TUgames 
Language:  English 
Keywords:  uniform addition invariance ; uniform transfer invariance ; Shapley value ; equal division rule ; equal surplus division rule ; Banzhaf value 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C71  Cooperative Games 
Item ID:  41530 
Depositing User:  Sylvain Béal 
Date Deposited:  24 Sep 2012 16:43 
Last Modified:  26 Sep 2019 15:04 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/41530 