A game-theoretic approach to the binary stochastic choice problem

Itzhak Gilboa*, Dov Monderer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)555-572
Number of pages18
JournalJournal of Mathematical Psychology
Issue number4
StatePublished - Dec 1992
Externally publishedYes


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