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Self-Covariant Solutions To Cooperative Games With Transferable Utilities

Author

Listed:
  • Elena B.Yanovskaya

    (National Research University Higher School of Economics)

Abstract

A weakening of covariance property for solutions of cooperative games with transferable utilities self-covariance is dened. Self-covariant solutions are positively homogenous and satisfy a "restricted"translation covariance such that feasible shifts are only the solution vectors themselves and their multipliers. A description of all nonempty, ecient, anonymous, self-covariant, and single-valued solution for the class of two-person TU games is given. Among them the solutions admitting consistent extensions in the DavisMaschler sense are found. They are the equal share solution, the standard solution, and the constrained egalitarian solution for superadditive twoperson games. Characterizations of consistent extensions (Thomson 1996) of these solutions to the class of all TU games are given.

Suggested Citation

  • Elena B.Yanovskaya, 2014. "Self-Covariant Solutions To Cooperative Games With Transferable Utilities," HSE Working papers WP BRP 85/EC/2014, National Research University Higher School of Economics.
    • Handle: RePEc:hig:wpaper:85/ec/2014
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    File URL: http://www.hse.ru/data/2014/12/16/1103403985/85EC2014.pdf
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    References listed on IDEAS

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    1. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-635, May.
    2. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    3. Jens Leth Hougaard & Lars Thorlund-Petersen & Bezalel Peleg, 2001. "On the set of Lorenz-maximal imputations in the core of a balanced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 147-165.
    4. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    5. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
    6. Dutta, B, 1990. "The Egalitarian Solution and Reduced Game Properties in Convex Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 153-169.
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    Cited by:

    1. Elena Yanovskaya, 2016. "An Extension of a Class of Cost Sharing Methods to the Solutions of the Class of Two-Person Cooperative Games," HSE Working papers WP BRP 127/EC/2016, National Research University Higher School of Economics.

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    More about this item

    Keywords

    cooperative game with transferable utilities; solution; self-covariance; consistent extensions; constrained egalitarianism.;
    All these keywords.

    JEL classification:

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

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