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New Axiomatizations of the Owen Value for Games with Coalition Structures

Author

Listed:
  • Hamiache, G.

Abstract

This paper presents two new axiomatizations of the Owen value for games with coalition structures. Other axiomatizations can be found in the literature: Owen (1977), Hart and Kurz (1983), and Winter (1992). The driving force of my axiomatization is a consistency axiom based on an associated game, that is not a reduced game.

Suggested Citation

  • Hamiache, G., 1997. "New Axiomatizations of the Owen Value for Games with Coalition Structures," G.R.E.Q.A.M. 97a03, Universite Aix-Marseille III.
  • Handle: RePEc:fth:aixmeq:97a03
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    References listed on IDEAS

    as
    1. Winter, Eyal, 1992. "The consistency and potential for values of games with coalition structure," Games and Economic Behavior, Elsevier, vol. 4(1), pages 132-144, January.
    2. Greenberg, Joseph, 1994. "Coalition structures," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 37, pages 1305-1337, Elsevier.
    3. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
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    Citations

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    Cited by:

    1. 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.
    2. Nicola G. Andjiga & Sebastien Courtin, 2013. "Coalition configurations and share functions," Working Papers hal-00914883, HAL.
    3. Nicolas Andjiga & Sebastien Courtin, 2015. "Coalition configurations and share functions," Annals of Operations Research, Springer, vol. 225(1), pages 3-25, February.
    4. repec:eee:apmaco:v:266:y:2015:i:c:p:605-614 is not listed on IDEAS
    5. Sébastien Courtin & Bertrand Tchantcho, 2015. "A note on the ordinal equivalence of power indices in games with coalition structure," Theory and Decision, Springer, vol. 78(4), pages 617-628, April.
    6. Sébastien Courtin & Bertrand Tchantcho, 2015. "A note on the ordinal equivalence of power indices in games with coalition structure," Post-Print hal-00914910, HAL.
    7. Pulido, Manuel A. & Sánchez-Soriano, Joaquín, 2009. "On the core, the Weber set and convexity in games with a priori unions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 468-475, March.
    8. Albizuri, M.J., 2008. "Axiomatizations of the Owen value without efficiency," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 78-89, January.
    9. J. Alonso-Meijide & C. Bowles & M. Holler & S. Napel, 2009. "Monotonicity of power in games with a priori unions," Theory and Decision, Springer, vol. 66(1), pages 17-37, January.
    10. Peter Borm & Luisa Carpente & Balbina Casas-Méndez & Ruud Hendrickx, 2005. "The Constrained Equal Awards Rule for Bankruptcy Problems with a Priori Unions," Annals of Operations Research, Springer, vol. 137(1), pages 211-227, July.
    11. Gérard Hamiache, 2006. "A value for games with coalition structures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 93-105, January.
    12. María Gómez-Rúa & Juan Vidal-Puga, 2014. "Bargaining and membership," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 800-814, July.
    13. repec:spr:topjnl:v:25:y:2017:i:3:d:10.1007_s11750-017-0446-3 is not listed on IDEAS
    14. J. Alonso-Meijide & B. Casas-Méndez & A. González-Rueda & S. Lorenzo-Freire, 2014. "Axiomatic of the Shapley value of a game with a priori unions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 749-770, July.
    15. Nicolas G. Andjiga & Sébastien Courtin, 2015. "Coalition configurations and share functions," Post-Print hal-00914883, HAL.
    16. Sebastien Courtin & Bertrand Tchantcho, 2013. "A note on the ordinal equivalence of power indices in games with coalition structure," Working Papers hal-00914910, HAL.
    17. repec:spr:grdene:v:21:y:2012:i:5:d:10.1007_s10726-011-9239-5 is not listed on IDEAS

    More about this item

    Keywords

    GAME THEORY; CARTELS;

    JEL classification:

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

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