Strategy-Proof Social Choice Correspondences and Single Peaked Preferences
Carmelo RodrÃguez-Ã Lvarez
Additional contact information
Carmelo RodrÃguez-à Lvarez: Instituto Complutense de Análisis Económico (ICAE), Universidad Complutense de Madrid (Spain).
Authors registered in the RePEc Author Service: Carmelo Rodriguez-Alvarez ()
No 2024-02, Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico
Abstract:
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 multi-dimensional convex spaces of alternatives, only unions of up to two dictatorships satisfy both properties.
Keywords: Strategy-Proofness; Single-Peaked Preferences; Social Choice Correspondences. (search for similar items in EconPapers)
JEL-codes: C71 C78 D71 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2024
New Economics Papers: this item is included in nep-dcm, nep-des, nep-mic and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
https://hdl.handle.net/20.500.14352/105005
Related works:
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:2402
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 ().