Restricted Probabilistic Fixed Ballot Rules and Hybrid Domains

Shurojit Chatterji (), Souvik Roy (), Soumyarup Sadhukhan, Arunava Sen and Huaxia Zeng ()
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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
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Citations: View citations in EconPapers (3)

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