Econometrica: Jan 1992, Volume 60, Issue 1

Implementation Via Nash Equilibria<43:IVNE>2.0.CO;2-Z
p. 43-56

Vladimir Danilov

This paper is concerned with a problem of implementation of a given social choice correspondence (SCC). We introduce an essential monotonicity condition and show that any implementable SCC satisfies this condition. Conversely, in a case of three or more participants any essentially monotone SCC is implementable. In a case of two participants the essential monotonicity condition must be completed by a requirement that the SCC is close to an individually rational correspondence.

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