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A characterization of the single-peaked single-crossing domain

Author

Listed:
  • Edith Elkind

    (University of Oxford)

  • Piotr Faliszewski

    (AGH University)

  • Piotr Skowron

    (University of Warsaw)

Abstract

We characterize elections that are simultaneously single-peaked and single-crossing (SPSC), by establishing a connection between this domain and that of minimally rich elections, i.e., elections where each candidate is ranked first by at least one voter. Specifically, we show that an election is both single-peaked and single-crossing if and only if it can be obtained from a minimally rich single-crossing election by deleting voters.

Suggested Citation

  • Edith Elkind & Piotr Faliszewski & Piotr Skowron, 2020. "A characterization of the single-peaked single-crossing domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 167-181, January.
    • Handle: RePEc:spr:sochwe:v:54:y:2020:i:1:d:10.1007_s00355-019-01216-3
    DOI: 10.1007/s00355-019-01216-3
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    References listed on IDEAS

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