Strategy-Proof Social Choice Correspondences and Single-Peaked Preferences

Carmelo Rodríguez à Lvarez ()
Additional contact information
Carmelo Rodríguez à Lvarez: Instituto Complutense de Análisis Económico (ICAE), Universidad Complutense de Madrid (Spain)
Authors registered in the RePEc Author Service: Carmelo Rodriguez-Alvarez ()

No 2025-06, Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: We consider strategy-proof social choice correspondences (SCCs) –mappings from preference profiles to sets of alternatives– when individuals are endowed with single-peaked preferences over alternatives. We interpret the selected sets of alternatives as the basis for lotteries that determine the final social choice, and consider that agents’ preferences over sets are consistent with Expected Utility Theory and Bayesian updating from an initial probability assessment over the full set of alternatives. We exploit the relation between SCCs and probabilistic decision schemes –mappings from preference profiles to lotteries over alternatives–, to characterize the family of SCCs that satisfy strategy-proofness and unanimity for arbitrary initial probability assessments. We extend the analysis to multi-dimensional convex spaces of alternatives under the uniform initial probability assessment.

Keywords: Strategy-Proofness; Single-Peaked Preferences; Social Choice Correspondences. (search for similar items in EconPapers)
JEL-codes: C71 D71 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2025
New Economics Papers: this item is included in nep-dcm, nep-des, nep-eur, nep-inv, nep-mic and nep-upt
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://hdl.handle.net/20.500.14352/105005

Related works:
Working Paper: Strategy-Proof Social Choice Correspondences and Single Peaked Preferences (2024)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ucm:doicae:2506

Ordering information: This working paper can be ordered from
Facultad de Ciencias Económicas y Empresariales. Pabellón prefabricado, 1ª Planta, ala norte. Campus de Somosaguas, 28223 - POZUELO DE ALARCÓN (MADRID)
https://www.ucm.es/f ... -de-trabajo-del-icae

Access Statistics for this paper

More papers in Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico Contact information at EDIRC.
Bibliographic data for series maintained by Águeda González Abad ().