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A game theoretic approach to the binary stochastic choice problem

Author

Listed:
  • Itzhak Gilboa

    (Northwestern University [Evanston])

  • Dov Monderer

Abstract

We provide an equivalence theorem for the binary stochastic choice problem, which may be thought of as an implicit characterization of binary choice probabilities which are consistent with a probability over linear orderings. In some cases this implicit characterization is very useful in derivation of explicit necessary conditions. In particular, we present a new set of conditions which generalizes both Cohen and Falmagne's and Fishburn's conditions.

Suggested Citation

  • Itzhak Gilboa & Dov Monderer, 1992. "A game theoretic approach to the binary stochastic choice problem," Post-Print hal-00481377, HAL.
    • Handle: RePEc:hal:journl:hal-00481377
    DOI: 10.1016/0022-2496(92)90109-K
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    Cited by:

    1. Azrieli, Yaron & Rehbeck, John N., 0. "Marginal stochastic choice," Theoretical Economics, Econometric Society.
    2. Yohan Pelosse, 2024. "A Non-Cooperative Shapley Value Representation of Luce Contests Success Functions," Working Papers 2024-01, Swansea University, School of Management.
    3. Turansick, Christopher, 2025. "An alternative approach for nonparametric analysis of random utility models," Journal of Economic Theory, Elsevier, vol. 226(C).
    4. Billot, Antoine & Thisse, Jacques-Francois, 2005. "How to share when context matters: The Mobius value as a generalized solution for cooperative games," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1007-1029, December.
    5. Gilboa, Itzhak & Monderer, Dov, 1991. "Quasi-values on Subspaces," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 353-363.

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