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Axiomatizing the Harsanyi solution, the symmetric egalitarian solution and the consistent solution for NTU-games

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Author Info

  • Geoffroy de Clippel

    ()

  • Hans Peters

    ()

  • Horst Zank

    ()

Abstract

The validity of the axiomatization of the Harsanyi solution for NTU-games by Hart (1985) is shown to depend on the regularity conditions imposed on games. Following this observation, we propose two related axiomatic characterizations, one of the symmetric egalitarian solution (Kalai and Samet, 1985) and one of the consistent solution (Maschler and Owen, 1992). The three axiomatic results are studied, evaluated and compared in detail. Copyright Springer-Verlag 2004

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File URL: http://hdl.handle.net/10.1007/s001820400193
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Bibliographic Info

Article provided by Springer in its journal International Journal of Games Theory.

Volume (Year): 33 (2004)
Issue (Month): 1 (January)
Pages: 145-158

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Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:145-158

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Related research

Keywords: C71; Nontransferable utility games; consistent solution; Harsanyi solution; symmetric egalitarain solution;

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Cited by:
  1. Sergiu Hart, 2004. "A comparison of non-transferable utility values," Theory and Decision, Springer, vol. 56(1), pages 35-46, April.
  2. Bergantinos, G. & Casas-Mendez, B. & Fiestras-Janeiro, M.G. & Vidal-Puga, J.J., 2007. "A solution for bargaining problems with coalition structure," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 35-58, July.
  3. Lee, Joosung & Driessen, Theo S.H., 2012. "Sequentially two-leveled egalitarianism for TU games: Characterization and application," European Journal of Operational Research, Elsevier, vol. 220(3), pages 736-743.
  4. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, EconWPA.
  5. Hwang, Yan-An, 2010. "Marginal monotonicity solution of NTU games," Games and Economic Behavior, Elsevier, vol. 70(2), pages 502-508, November.
  6. Roberto Serrano, 2007. "Cooperative Games: Core and Shapley Value," Working Papers 2007-11, Brown University, Department of Economics.
  7. Hinojosa, M.A. & Romero, E. & Zarzuelo, J.M., 2012. "Consistency of the Harsanyi NTU configuration value," Games and Economic Behavior, Elsevier, vol. 76(2), pages 665-677.

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