A game theoretic approach to the binary stochastic choice problem

Itzhak Gilboa and Dov Monderer

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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.

Keywords: Mathematical model; Choice; Stochastic model; Probabilistic model; Game theory; Human (search for similar items in EconPapers)
Date: 1992-12
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Citations: View citations in EconPapers (2)

Published in Journal of Mathematical Psychology, 1992, Vol.36, n°4, pp. 555-572. ⟨10.1016/0022-2496(92)90109-K⟩

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Working Paper: A Game-Theoretic Approach to the Binary Stochastic Choice Problem (1989)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00481377

DOI: 10.1016/0022-2496(92)90109-K

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