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Value theory without symmetry

Author

Listed:
  • Ori Haimanko

    (Yale University, Cowles Foundation for Research in Economics, P.O. Box 20-8281, New Haven, CT 06520-8281, USA)

Abstract

We investigate quasi-values of finite games - solution concepts that satisfy the axioms of Shapley (1953) with the possible exception of symmetry. Following Owen (1972), we define "random arrival'', or path, values: players are assumed to "enter'' the game randomly, according to independently distributed arrival times, between 0 and 1; the payoff of a player is his expected marginal contribution to the set of players that have arrived before him. The main result of the paper characterizes quasi-values, symmetric with respect to some coalition structure with infinite elements (types), as random path values, with identically distributed random arrival times for all players of the same type. General quasi-values are shown to be the random order values (as in Weber (1988) for a finite universe of players). Pseudo-values (non-symmetric generalization of semivalues) are also characterized, under different assumptions of symmetry.

Suggested Citation

  • Ori Haimanko, 2000. "Value theory without symmetry," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 451-468.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:3:p:451-468
    Note: Received: April 1998/Revised version: February 2000
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    Citations

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    Cited by:

    1. Moulin, Herve & Sprumont, Yves, 2006. "Responsibility and cross-subsidization in cost sharing," Games and Economic Behavior, Elsevier, vol. 55(1), pages 152-188, April.
    2. Omer Edhan, 2012. "Representations Of Positive Projections On Lipschitz Vector," Discussion Paper Series dp624, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    3. Hervé Moulin & Yves Sprumont, 2007. "Fair allocation of production externalities : recent results," Revue d'économie politique, Dalloz, vol. 117(1), pages 7-36.
    4. Friedman, Eric J., 2012. "Asymmetric Cost Sharing mechanisms," Games and Economic Behavior, Elsevier, vol. 75(1), pages 139-151.
    5. Francesco Passarelli, 2007. "Asymmetric Bargaining," ISLA Working Papers 26, ISLA, Centre for research on Latin American Studies and Transition Economies, Universita' Bocconi, Milano, Italy, revised Jan 2007.

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