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

Author

Listed:
  • 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

Suggested Citation

  • Geoffroy de Clippel & Hans Peters & Horst Zank, 2004. "Axiomatizing the Harsanyi solution, the symmetric egalitarian solution and the consistent solution for NTU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 145-158, January.
    • Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:145-158
    DOI: 10.1007/s001820400193
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    Citations

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    Cited by:

    1. Rosenmüller, Joachim, 2019. "Cephoids. Minkowski Sums of DeGua Simplices. Theory and Applications," Center for Mathematical Economics Working Papers 629, Center for Mathematical Economics, Bielefeld University.
    2. Sergiu Hart, 2004. "A comparison of non-transferable utility values," Theory and Decision, Springer, vol. 56(1), pages 35-46, April.
    3. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.
    4. Barry O'Neill, 2014. "Networks of Rights in Conflict: A Talmudic Example," Discussion Paper Series dp677, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    5. 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, University Library of Munich, Germany.
    6. Roberto Serrano, 2007. "Cooperative Games: Core and Shapley Value," Working Papers 2007-11, Brown University, Department of Economics.
    7. 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.
    8. 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.
    9. Hwang, Yan-An, 2010. "Marginal monotonicity solution of NTU games," Games and Economic Behavior, Elsevier, vol. 70(2), pages 502-508, November.
    10. 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.
    11. M. Hinojosa & E. Romero-Palacios & J. Zarzuelo, 2015. "Consistency of the Shapley NTU value in G-hyperplane games," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 259-278, December.
    12. Roberto Serrano, 2007. "Cooperative Games: Core and Shapley Value," Working Papers 2007-11, Brown University, Department of Economics.

    More about this item

    Keywords

    C71; Nontransferable utility games; consistent solution; Harsanyi solution; symmetric egalitarain solution;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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