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

Author

Listed:
  • Mihir Bhattacharya

    (Ashoka University)

  • Ojasvi Khare

    (Indian Statistical Institute, Delhi Center)

Abstract

We consider a social choice model where voters have single-peaked preferences over a finite and ordered set of alternatives that are aggregated to produce contiguous sets or intervals of a fixed cardinality. 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, 2024. "Strategy-proof interval-social choice correspondences over extended single-peaked domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 893-911, September.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:3:d:10.1007_s00182-024-00900-8
    DOI: 10.1007/s00182-024-00900-8
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    References listed on IDEAS

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    More about this item

    Keywords

    Social choice correspondence; Interval; Single-peaked preferences; Responsive; Strategy-proofness; Median voter;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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