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Dominance in spatial voting with imprecise ideals

Author

Listed:
  • Mathieu Martin

    (Cergy Paris Université)

  • Zéphirin Nganmeni

    (Paris 8 University)

  • Craig A. Tovey

    (Georgia Institute of Technology)

Abstract

We introduce a dominance relationship in spatial voting with Euclidean preferences, by treating voter ideal points as balls of radius $$\delta$$ δ . Values $$\delta >0$$ δ > 0 model imprecision or ambiguity as to voter preferences from the perspective of a social planner. The winning coalitions may be any consistent monotonic collection of voter subsets. We characterize the minimum value of $$\delta$$ δ for which the $$\delta$$ δ -core, the set of undominated points, is nonempty. In the case of simple majority voting, the core is the yolk center and $$\delta$$ δ is the yolk radius.

Suggested Citation

  • Mathieu Martin & Zéphirin Nganmeni & Craig A. Tovey, 2021. "Dominance in spatial voting with imprecise ideals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(1), pages 181-195, July.
    • Handle: RePEc:spr:sochwe:v:57:y:2021:i:1:d:10.1007_s00355-021-01316-z
    DOI: 10.1007/s00355-021-01316-z
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    References listed on IDEAS

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    Cited by:

    1. Tasos Kalandrakis, 2022. "Generalized medians and a political center," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 301-319, February.
    2. Zéphirin Nganmeni & Roland Pongou & Bertrand Tchantcho & Jean‐Baptiste Tondji, 2022. "Vaccine and inclusion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 1101-1123, October.
      • Zéphirin Nganmeni & Roland Pongou & Bertrand Tchantcho & Jean‐baptiste Tondji, 2022. "Vaccine and inclusion," Post-Print hal-04257703, HAL.
      • Zéphirin Nganmeni & Roland Pongou & Bertrand Tchantcho & Jean-Baptiste Tondji, 2022. "Vaccine and Inclusion," Working Papers 2202E Classification-C62,, University of Ottawa, Department of Economics.
    3. Mathieu Martin & Zéphirin Nganmeni & Ashley Piggins & Élise F. Tchouante, 2022. "Pure-strategy Nash equilibrium in the spatial model with valence: existence and characterization," Public Choice, Springer, vol. 190(3), pages 301-316, March.

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