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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dimitrov, Dinko & Haake, Claus-Jochen, 2008. "Stable governments and the semistrict core," Games and Economic Behavior, Elsevier, vol. 62(2), pages 460-475, March.
- Guillaume HAERINGER, 1999.
"A New Weight Scheme for the Shapley Value,"
Working Papers of BETA
9910, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dr. Frederik Herzberg).
If references are entirely missing, you can add them using this form.