A unified characterization of the randomized strategy-proof rules

Souvik Roy and Soumyarup Sadhukhan

Journal of Economic Theory, 2021, vol. 197, issue C

Abstract: We show that a large class of restricted domains such as single-peaked, single-crossing, single-dipped, tree-single-peaked with top-set along a path, Euclidean, multi-peaked, intermediate (Grandmont (1978)), etc., can be characterized by using betweenness property, and we present a unified characterization of unanimous and strategy-proof random rules on these domains. As corollaries of our result, we show that all the domains we consider in this paper satisfy tops-onlyness and deterministic extreme point property. Finally, we consider weak preferences and provide a class of unanimous and strategy-proof random rules on those domains.

Keywords: Betweenness property; Generalized intermediate domains; Random social choice functions; Strategy-proofness; Tops-restricted random min-max rules (search for similar items in EconPapers)
JEL-codes: D71 D82 (search for similar items in EconPapers)
Date: 2021
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Related works:
Working Paper: A Unified Characterization of Randomized Strategy-proof Rules (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:197:y:2021:i:c:s0022053120301241

DOI: 10.1016/j.jet.2020.105131

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