Maximality in the Farsighted Stable Set

Debraj Ray, Rajiv Vohra

    Research output: Contribution to journalArticlepeer-review


    Harsanyi (1974) and Ray and Vohra (2015) extended the stable set of von Neumann and Morgenstern to impose farsighted credibility on coalitional deviations. But the resulting farsighted stable set suffers from a conceptual drawback: while coalitional moves improve on existing outcomes, coalitions might do even better by moving elsewhere. Or other coalitions might intervene to impose their favored moves. We show that every farsighted stable set satisfying some reasonable and easily verifiable properties is unaffected by the imposition of these stringent maximality constraints. The properties we describe are satisfied by many, but not all, farsighted stable sets.

    Original languageEnglish (US)
    Pages (from-to)1763-1779
    Number of pages17
    Issue number5
    StatePublished - Sep 1 2019


    • Stable sets
    • farsightedness
    • history-dependent expectations
    • maximality

    ASJC Scopus subject areas

    • Economics and Econometrics


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