EFFECTIVITY FUNCTIONS AND ASSOCIATED CLAIM GAME CORRESPONDENCES

In this paper upper cycle free effectivity functions are implemented b y strategic claim game correspondences. Conditions are provided such t hat an effectivity function coincides with the alpha- and beta-effecti vity functions corresponding to its associated claim game corresponden ce. Furthermore, the notion of the core of an effectivity function is extended to subsets of alternatives, and it is shown that for upper cy cle free effectivity functions this so-called setcore is always non-em pty. Moreover, given a preference profile, relations between the setco re of an effectivity function and strong Nash equilibria of the associ ated claim game correspondence are established. Journal of Economic Li terature Classification Numbers: 025, 026. (C) 1995 Academic Press, In c.