Balanced per capita contributions and levels structure of cooperation

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Balanced per capita contributions and levels structure of cooperation

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Gómez-Rúa, María
Vidal-Puga, Juan

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Juan Vidal-Puga

Abstract

We define a new value for games with levels structure. We introduce a new property in this class of games, balanced per capita contributions, which is related with others in the literature. We provide an axiomatic characterization of this value using this new property.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8208.

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Date of creation: 09 Apr 2008
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Handle: RePEc:pra:mprapa:8208

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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-2008-04-15 (All new papers)
NEP-GTH-2008-04-15 (Game Theory)

References listed on IDEAS
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Juan Vidal-Puga, 2003. "Implementation of the levels structure value," Game Theory and Information 0303006, EconWPA. [Downloadable!]
Herings, P. Jean-Jacques & Laan, Gerard van der & Talman, Dolf, 2005. "The component fairness solution for cycle-free graph games," Discussion Paper 127, Tilburg University, Center for Economic Research. [Downloadable!]
Other versions:
- Herings,P. Jean-Jacques & Laan,Gerard,van der & Talman,Dolf, 2005. "The Component Fairness Solution for Cycle- Free Graph Games," Research Memoranda 056, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
- P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2005. "The Component Fairness Solution for Cycle-free Graph Games," Tinbergen Institute Discussion Papers 05-114/1, Tinbergen Institute. [Downloadable!]
Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July. [Downloadable!] (restricted)
Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October. [Downloadable!] (restricted)
Other versions:
- David Pérez-Castrillo & David Wettstein, . "Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value," UFAE and IAE Working Papers 461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer, vol. 18(2), pages 227-40.
Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA. [Downloadable!]
Sanchez S., Francisco, 1997. "Balanced Contributions Axiom in the Solution of Cooperative Games," Games and Economic Behavior, Elsevier, vol. 20(2), pages 161-168, August. [Downloadable!] (restricted)
E. Calvo & Juan Carlos Santos, 2000. "Weighted weak semivalues," International Journal of Game Theory, Springer, vol. 29(1), pages 1-9. [Downloadable!] (restricted)
Levy, Anat & Mclean, Richard P., 1989. "Weighted coalition structure values," Games and Economic Behavior, Elsevier, vol. 1(3), pages 234-249, September. [Downloadable!] (restricted)
Calvo, Emilio & Javier Lasaga, J. & Winter, Eyal, 1996. "The principle of balanced contributions and hierarchies of cooperation," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 171-182, June. [Downloadable!] (restricted)
Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May. [Downloadable!] (restricted)

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