Finite ß-Playable Effectivity Functions

Stefano Vannucci ()

Department of Economics University of Siena from Department of Economics, University of Siena

Abstract: The ß-effectivity function of a strategic game form G describes the decision power of coalitions under G as contingent on the ability of each coalition to predict the behaviour of the complementary coalition. An e¤ectivity function E is ß-playable if there exists a strategic game form G such that E is the ß-effectivity function of G. It is shown that whenever the player set and the outcome set are fi?nite an effectivity function E is ß-playable if and only if E is both outcome-monotonic and polar-superadditive. Moreover, the underlying strategic game form only needs ?small?strategy spaces, whose size is linear in the size of the monotonic co-basis of E. As a by-product of that result, a few new characterizations of tight finite e¤ectivity functions are also obtained.

JEL-codes: C62 C70 D72 (search for similar items in EconPapers)
Date: 2012-12
New Economics Papers: this item is included in nep-gth and nep-mic
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