Axioms of Invariance for TU-games
AbstractWe introduce new axioms for the class of all TU-games 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 TU-games. 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.
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Bibliographic InfoPaper provided by CRESE in its series Working Papers with number 2012-01.
Length: 20 pages
Date of creation: Sep 2012
Date of revision:
uniform addition invariance; uniform transfer invariance; Shapley value; equal division rule; equal surplus division rule; Banzhaf value;
Other versions of this item:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-17 (All new papers)
- NEP-GTH-2012-11-17 (Game Theory)
- NEP-MIC-2012-11-17 (Microeconomics)
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