An axiomatic approach to composite solutions
AbstractWe investigate a situation in which gains from cooperation are represented by a cooperative TU-game and a solution proposes a division of coalitional worths. In addition, asymmetries among players outside the game are captured by a vector of exogenous weights. If a solution measures players' payoffs inherent in the game, and a coalition has formed, then the question is how to measure players' overall payoffs in that coalition. For this we introduce the notion of a composite solution. We provide an axiomatic characterization of a specific composite solution, in which exogenous weights enter in a proportional fashion.
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Bibliographic InfoPaper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 385.
Length: 11 pages
Date of creation: Nov 2006
Date of revision:
composite solution; external weights;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Dimitrov, Dinko & Haake, Claus-Jochen, 2008. "Stable governments and the semistrict core," Games and Economic Behavior, Elsevier, vol. 62(2), pages 460-475, March.
- Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Guillaume Haeringer, 1998.
"A new weight scheme for the Shapley value,"
Game Theory and Information
- Dinko Dimitrov & Claus-Jochen Haake, 2006.
"Coalition Formation in Simple Games: The Semistrict Core,"
2006.72, Fondazione Eni Enrico Mattei.
- Dinko Dimitrov & Claus-Jochen Haake, 2006. "Coalition formation in simple games: The semistrict core," Working Papers 378, Bielefeld University, Center for Mathematical Economics.
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