Strategy-proof interval-social choice correspondences over extended single-peaked domains

Mihir Bhattacharya () and Ojasvi Khare ()
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Mihir Bhattacharya: Ashoka University

No 89, Working Papers from Ashoka University, Department of Economics

Abstract: We consider a social choice model where voters have single-peaked preferences over the alternatives that are aggregated to produce contiguous sets or intervals of fixed cardinality, L. This is applicable in situations where the alternatives can be arranged in a line (e.g. plots of land) and a contiguous subset of these is required (e.g. a hospital or a school). We define interval-social choice correspondences (I-SCCs) on profiles of single-peaked preferences which select intervals. We extend single-peaked preferences to intervals using responsiveness. We show that generalized median-interval (GMI) rules are the only strategy-proof, anonymous and interval efficient I-SCCs. These rules are interval versions of generalized median voter rules which consist of the median, min and max rules. We show that responsiveness over intervals is necessary for the strategy-proofness of the GMI rule if preferences over alternatives are single-peaked.

Keywords: median; voter; responsive; single-peaked; preferences; social; choice; correspondence; strategy-proofness; voter (search for similar items in EconPapers)
Pages: 21
Date: 2023-03-14, Revised 2023-08-09
New Economics Papers: this item is included in nep-dcm, nep-des and nep-mic
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Journal Article: Strategy-proof interval-social choice correspondences over extended single-peaked domains (2024)
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