%0 Generic
%A Rodríguez Álvarez, Carmelo
%T Strategy-Proof Social Choice Correspondences and Single Peaked Preferences
%J Documentos de trabajo del Instituto Complutense de Análisis Económico
%D 2024
%@ 2341-2356
%U https://hdl.handle.net/20.500.14352/105005
%X We examine social choice correspondences (SCCs) -mappings from preference profiles to sets of alternatives- that satisfy strategy-proofness and unanimity when individuals are endowed with single-peaked preferences over alternatives, preferences over sets are consistent with Expected Utility Theory, uniform prior probabilities, and Bayesian Updating. Leveraging the relation between SCCs and probabilistic decision schemes -mappings from preference profiles to lotteries over alternatives-we extend the results by Ingalagavi and Sadhukhan (2023, Journal of Mathematical Economics 109, 102912). In one-dimensional spaces of alternatives, only the union of two single-valued strategy-proof SCCs satisfy strategy-proofness and unanimity. In multidimensional convex spaces of alternatives, only unions of up to two dictatorships satisfy both properties.
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