Amalgamating players, symmetry and the Banzhaf value
AbstractWe suggest new characterizations of the Banzhaf value without the symmetry axiom, which reveal that the characterizations by Lehrer (1988, International Journal of Game Theory 17, 89-99) and Nowak (1997, International Journal of Game Theory 26, 127-141) as well as most of the characterizations by Casajus (2010, Theory and De- cision, forthcoming) are redundant. Further, we explore symmetry implications of Lehrer's 2-efficiency axiom.
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Bibliographic InfoPaper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 442.
Length: 21 pages
Date of creation: Dec 2010
Date of revision:
Banzhaf value; amalgamation; symmetry; 2-efficiency;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-12-23 (All new papers)
- NEP-CDM-2010-12-23 (Collective Decision-Making)
- NEP-GTH-2010-12-23 (Game Theory)
- NEP-HPE-2010-12-23 (History & Philosophy of Economics)
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