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An axiomatic approach to composite solutions

  • Dinko Dimitrov

    ()

    (Institute of Mathematical Economics, Bielefeld University)

  • Claus-Jochen Haake

    ()

    (Institute of Mathematical Economics, Bielefeld University)

We 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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File Function: First version, 2006
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Paper provided by Center for Mathematical Economics, Bielefeld University in its series Center for Mathematical Economics Working Papers with number 385.

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Length: 11 pages
Date of creation: Nov 2006
Date of revision:
Handle: RePEc:bie:wpaper:385
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  1. Dimitrov, Dinko & Haake, Claus-Jochen, 2008. "Stable governments and the semistrict core," Games and Economic Behavior, Elsevier, vol. 62(2), pages 460-475, March.
  2. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
  3. Haeringer, Guillaume, 2006. "A new weight scheme for the Shapley value," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 88-98, July.
  4. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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