An axiomatic approach to composite solutions

Dimitrov D, Haake C-J (2006) Working Papers. Institute of Mathematical Economics; 385.
Bielefeld: Universität Bielefeld.

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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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Dimitrov D, Haake C-J. An axiomatic approach to composite solutions. Working Papers. Institute of Mathematical Economics. Vol 385. Bielefeld: Universität Bielefeld; 2006.
Dimitrov, D., & Haake, C. - J. (2006). An axiomatic approach to composite solutions (Working Papers. Institute of Mathematical Economics, 385). Bielefeld: Universität Bielefeld.
Dimitrov, D., and Haake, C. - J. (2006). An axiomatic approach to composite solutions. Working Papers. Institute of Mathematical Economics, 385, Bielefeld: Universität Bielefeld.
Dimitrov, D., & Haake, C.-J., 2006. An axiomatic approach to composite solutions, Working Papers. Institute of Mathematical Economics, no.385, Bielefeld: Universität Bielefeld.
D. Dimitrov and C.-J. Haake, An axiomatic approach to composite solutions, Working Papers. Institute of Mathematical Economics, vol. 385, Bielefeld: Universität Bielefeld, 2006.
Dimitrov, D., Haake, C.-J.: An axiomatic approach to composite solutions. Working Papers. Institute of Mathematical Economics, 385. Universität Bielefeld, Bielefeld (2006).
Dimitrov, Dinko, and Haake, Claus-Jochen. An axiomatic approach to composite solutions. Bielefeld: Universität Bielefeld, 2006. Working Papers. Institute of Mathematical Economics. 385.
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