Collusion, symmetry, and the Banzhaf value
AbstractWe resolve redundancies in the characterizations of the Banzhaf value suggested by Haller (1994, Int J Game Theory 23, 261-281) and Malawski (2002, Int J Game Theory 31:47-67). In particular, we show that the collusion properties employed by them are equivalent. Combined with the dummy player axiom, any of the collusion properties has strong symmetry implications whenever the cardinality of the player set exceeds two. Finally, we establish that the Banzhaf value is non-redundantly characterized by the dummy player axiom and any of the collusion properties, provided that the player set is as above. --
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Bibliographic InfoPaper provided by University of Leipzig, Faculty of Economics and Management Science in its series Working Papers with number 99.
Date of creation: 2011
Date of revision:
Banzhaf value; symmetry; collusion; proxy; association; distrust;
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-2011-11-07 (All new papers)
- NEP-GTH-2011-11-07 (Game Theory)
- NEP-HPE-2011-11-07 (History & Philosophy of Economics)
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