Rationalizable Implementation of Social Choice Correspondences

Ritesh Jain

No 19-A002, IEAS Working Paper : academic research from Institute of Economics, Academia Sinica, Taipei, Taiwan

Abstract: A social choice correspondence (SCC) F is a mapping which associates with every state θ ∈ Θ a non empty subset of a set of outcomes. F is implementable in rationalizable strategies provided that there exists a mechanism such that for each state θ, the support of its set of rationalizable outcomes is equal to the socially desirable set F(θ). We find that r-monotonicity is a necessary condition for the rationalizable implementation of F. When there are at least three agents and F satisfies certain auxiliary conditions, r-monotonicity is also sufficient for rationalizable implementation. Finally, we show that a SCC which is never single valued is rationalizably implementable if and only if it satisfies r-monotonicity.

Keywords: : Implementation; Social choice correspondences; Monotonicity; Rationalizability (search for similar items in EconPapers)
JEL-codes: C79 D82 (search for similar items in EconPapers)
Pages: 44 pages
Date: 2019-06
New Economics Papers: this item is included in nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Journal Article: Rationalizable implementation of social choice correspondences (2021)
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