Undominated Nash Implementation in Bounded Mechanisms

Matthew Jackson

No 966, Discussion Papers from Northwestern University, Center for Mathematical Studies in Economics and Management Science

Abstract: We study social choice correspondences which can be implemented in undominated Nash equilibrium by bounded mechanisms. (An undominated Nash equilibrium is a Nash equilibrium in which no agent uses a weakly dominated strategy. A mechanism is bounded if every dominated strategy is dominated by an undominated strategy). We provide necessary conditions and sufficient conditions for such implementation. Our conditions are satisfied in virtually all "economic" settings, and are also satisfied by many interesting correspondences identified in the social choice literature. For economic settings, we provide a particularly simple implementing mechanism in which the undominated Nash equilibrium outcomes coincide with those obtained by iterated elimination of weakly dominated strategies.

Date: 1990-08
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Related works:
Journal Article: Undominated Nash Implementation in Bounded Mechanisms (1994)
Working Paper: Undominated Nash Implementation in Bounded Mechanism (1990)
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