RT Generic T1 Strategy-Proof Social Choice Correspondences and Single Peaked Preferences A1 Rodríguez Álvarez, Carmelo AB 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. PB ICAE SN 2341-2356 YR 2024 FD 2024 LK https://hdl.handle.net/20.500.14352/105005 UL https://hdl.handle.net/20.500.14352/105005 LA eng NO Ministerio de Economía y Competitividad (España) DS Docta Complutense RD 2 ago 2024