EconPapers    
Economics at your fingertips  
 

Restricted Probabilistic Fixed Ballot Rules and Hybrid Domains

Shurojit Chatterji (), Souvik Roy (), Soumyarup Sadhukhan, Arunava Sen and Huaxia Zeng ()
Additional contact information
Shurojit Chatterji: School of Economics, Singapore Management University
Souvik Roy: Indian Statistical Institute
Huaxia Zeng: Shanghai University of Finance and Economics

No 3-2020, Economics and Statistics Working Papers from Singapore Management University, School of Economics

Abstract: We study Random Social Choice Functions (or RSCFs) in a standard ordinal mech-anism design model. We introduce a new preference domain called a hybrid domain which includes as special cases as the complete domain and the single-peaked domain. We characterize the class of unanimous and strategy-proof RSCFs on these domains and refer to them as Restricted Probabilistic Fixed Ballot Rules (or RPFBRs). These RSCFs are not necessarily decomposable, i.e., cannot be written as a convex combina-tion of their deterministic counterparts. We identify a necessary and sufficient condition under which decomposability holds for anonymous RPFBRs. Finally, we provide an axiomatic justification of hybrid domains and show that every connected domain satis-fying some mild conditions is a hybrid domain where the RPFBR characterization still prevails.

Keywords: Strategy-proofness; hybrid domain; restricted probabilistic fixed ballot rule; decomposability; connectedness (search for similar items in EconPapers)
JEL-codes: D71 H41 (search for similar items in EconPapers)
Pages: 40 pages
Date: 2020-01-09
New Economics Papers: this item is included in nep-dcm, nep-des, nep-mic, nep-ore and nep-sea
References: Add references at CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
https://ink.library.smu.edu.sg/soe_research/2342/ Full text (text/plain)

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:ris:smuesw:2020_003

Access Statistics for this paper

More papers in Economics and Statistics Working Papers from Singapore Management University, School of Economics 90 Stamford Road, Sigapore 178903. Contact information at EDIRC.
Bibliographic data for series maintained by Cheong Pei Qi ().

 
Page updated 2020-09-22
Handle: RePEc:ris:smuesw:2020_003