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Probabilistic values for bicooperative games



The present paper develops some general conditions under which we analize the bicooperative games introduced by Bilbao (2000). We define the probabilistic values for these games and observe in detail the axioms that characterize such values. Following the work of Weber (1988), these axioms are sequentially introduced observing how they have repercussions on the probabilistic value expression. Also, we introduce the compatible-order values and show the relationship between these values and the efficiency values such that their components are probabilistic values.

Suggested Citation

  • Jesús Mario Bilbao & Julio R. Fernández & Nieves Jiménez & Jorge Jesús López, 2004. "Probabilistic values for bicooperative games," Economic Working Papers at Centro de Estudios Andaluces E2004/54, Centro de Estudios Andaluces.
  • Handle: RePEc:cea:doctra:e2004_54

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    References listed on IDEAS

    1. Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471R, Cowles Foundation for Research in Economics, Yale University.
    2. MoshÊ Machover & Dan S. Felsenthal, 1997. "Ternary Voting Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 335-351.
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    Cited by:

    1. Kojadinovic, Ivan, 2007. "A weight-based approach to the measurement of the interaction among criteria in the framework of aggregation by the bipolar Choquet integral," European Journal of Operational Research, Elsevier, vol. 179(2), pages 498-517, June.
    2. Jesús Mario Bilbao & Julio R. Fernández & Nieves Jiménez & Jorge Jesús López, 2004. "The Shapley value for bicooperative games," Economic Working Papers at Centro de Estudios Andaluces E2004/56, Centro de Estudios Andaluces.

    More about this item


    Bicooperative games; Probabilistic values; Compatible-order values;

    JEL classification:

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

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