Monotonicity implies generalized strategy-proofness for correspondences

Klaus Nehring

Social Choice and Welfare, 2000, vol. 17, issue 2, 367-375

Abstract: We show that Maskin monotone social choice correspondences on sufficiently rich domains satisfy a generalized strategy-proofness property, thus generalizing Muller and Satterthwaite's (1977) theorem to correspondences. The result is interpreted as a possibility theorem on the dominant-strategy implementability of monotone SCCs via set-valued mechanisms for agents who are completely ignorant about the finally selected outcome. Alternatively, the result yields a partial characterization of the restrictions entailed by Nash implementability of correspondences.

Date: 2000-02-28
Note: Received: 3 November 1997/Accepted: 26 April 1999
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