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

Author

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  • Mihir Bhattacharya

    (Ashoka University)

  • Ojasvi Khare

    (Indian Statistical Institute)

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.

Suggested Citation

  • Mihir Bhattacharya & Ojasvi Khare, 2023. "Strategy-proof interval-social choice correspondences over extended single-peaked domains," Working Papers 89, Ashoka University, Department of Economics, revised 09 Aug 2023.
    • Handle: RePEc:ash:wpaper:89
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    References listed on IDEAS

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    1. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
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    median voter;

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