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Balanced per capita contributions and level structure of cooperation

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  • María Gómez-Rúa
  • 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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File URL: http://hdl.handle.net/10.1007/s11750-009-0122-3
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Bibliographic Info

Article provided by Springer in its journal TOP.

Volume (Year): 19 (2011)
Issue (Month): 1 (July)
Pages: 167-176

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Handle: RePEc:spr:topjnl:v:19:y:2011:i:1:p:167-176

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Web page: http://www.springerlink.com/link.asp?id=120409

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Related research

Keywords: Level structure; Value; Balanced per capita contributions; 91A06; 91A12;

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References

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  1. 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.
  2. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  3. Gómez-Rúa, María & Vidal-Puga, Juan, 2010. "The axiomatic approach to three values in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 795-806, December.
  4. Herings,P. Jean-Jacques & Laan,Gerard,van der & Talman,Dolf, 2005. "The Component Fairness Solution for Cycle- Free Graph Games," Research Memorandum 056, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. E. Calvo & Juan Carlos Santos, 2000. "Weighted weak semivalues," International Journal of Game Theory, Springer, vol. 29(1), pages 1-9.
  6. HERINGS, P. Jean-Jacques & van der LAAN, Gerard & TALMAN, Dolf, . "The average tree solution for cycle-free graph games," CORE Discussion Papers RP -2155, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. 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.
  8. 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.
  9. 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.
  10. Levy, Anat & Mclean, Richard P., 1989. "Weighted coalition structure values," Games and Economic Behavior, Elsevier, vol. 1(3), pages 234-249, September.
  11. Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA.
  12. Juan Vidal-Puga, 2003. "Implementation of the levels structure value," Game Theory and Information 0303006, EconWPA.
  13. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. 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.
  15. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
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Citations

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Cited by:
  1. Gómez-Rúa, María & Vidal-Puga, Juan, 2008. "The axiomatic approach to three values in games with coalition structure," MPRA Paper 8904, University Library of Munich, Germany.
  2. Vidal-Puga, Juan, 2012. "The Harsanyi paradox and the “right to talk” in bargaining among coalitions," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 214-224.

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