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Efficiency in uncertain cooperative games

Author

Listed:
  • Peters, H.J.M.

    (Quantitative Economics)

  • Bossert, W.

    (Externe publicaties SBE)

  • Derks, J.

    (Externe publicaties SBE)

Abstract

A contingent contract in a transferable utility game under uncertainty specifies an outcome for each possible state. It is assumed that coalitions evaluate these contracts by considering the minimal possible excesses. A main question of the paper concerns the existence and characterization of efficient contracts. It is shown that they exist if and only if the set of possible coalitions contains a balanced subset. Moreover, a characterization of values that result in efficient contracts in the case of minimally balanced collections is provided.
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Suggested Citation

  • Peters, H.J.M. & Bossert, W. & Derks, J., 2001. "Efficiency in uncertain cooperative games," Research Memorandum 008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2001008
    DOI: 10.26481/umamet.2001008
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    References listed on IDEAS

    as
    1. F. R. Fernández & M. A. Hinojosa & J. Puerto, 2002. "Core Solutions in Vector-Valued Games," Journal of Optimization Theory and Applications, Springer, vol. 112(2), pages 331-360, February.
    2. Lloyd S. Shapley, 1967. "On balanced sets and cores," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(4), pages 453-460.
    3. Bossert, Walter & Peters, Hans, 2001. "Minimax Regret and Efficient Bargaining under Uncertainty," Games and Economic Behavior, Elsevier, vol. 34(1), pages 1-10, January.
    4. Bossert, Walter & Nosal, Ed & Sadanand, Venkatraman, 1996. "Bargaining under Uncertainty and the Monotone Path Solutions," Games and Economic Behavior, Elsevier, vol. 14(2), pages 173-189, June.
    5. Hans Peters & Walter Bossert, 2002. "Efficient solutions to bargaining problems with uncertain disagreement points," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 489-502.
    6. Derks, Jean & Peters, Hans, 1998. "Orderings, excess functions, and the nucleolus," Mathematical Social Sciences, Elsevier, vol. 36(2), pages 175-182, September.
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    Cited by:

    1. Habis, Helga & Herings, P. Jean-Jacques, 2011. "Transferable utility games with uncertainty," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2126-2139, September.
    2. Jean Derks & Hans Peters & Peter Sudhölter, 2014. "On extensions of the core and the anticore of transferable utility games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 37-63, February.
    3. Dairo Estrada & Poldy Osorio, 2004. "Effects of Financial Capital on Colombian Banking Efficiency," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 22(47), pages 162-201, December.
    4. Fall, François & Akim, Al-mouksit & Wassongma, Harouna, 2018. "DEA and SFA research on the efficiency of microfinance institutions: A meta-analysis," World Development, Elsevier, vol. 107(C), pages 176-188.
    5. Laszlo A. Koczy, 2019. "The risk-based core for cooperative games with uncertainty," CERS-IE WORKING PAPERS 1906, Institute of Economics, Centre for Economic and Regional Studies.
    6. Németh, Tibor & Pintér, Miklós, 2017. "The non-emptiness of the weak sequential core of a transferable utility game with uncertainty," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 1-6.

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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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