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Axioms for Euclidean preferences with a valence dimension

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  • Azrieli, Yaron

Abstract

Recent works on political competition incorporate a valence dimension to the standard spatial model. The goal of this paper is to axiomatize rankings of candidates by voters that are consistent with Euclidean preferences on the policy space and an additive valence dimension. Specifically, we consider the case where only the ideal point in the policy space and the ranking over candidates are known for each voter. We characterize the case where there are policies x1,…,xm for m candidates and numbers v1,…,vm representing valence scores, such that a voter with an ideal policy y ranks the candidates according to vi−‖xi−y‖2.

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  • Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:545-553
    DOI: 10.1016/j.jmateco.2011.07.004
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    Cited by:

    1. Yuichiro Kamada Jr. & Fuhito Kojima Jr., 2014. "Voter Preferences, Polarization, and Electoral Policies," American Economic Journal: Microeconomics, American Economic Association, vol. 6(4), pages 203-236, November.
    2. Chambers, Christopher P. & Echenique, Federico, 2020. "Spherical preferences," Journal of Economic Theory, Elsevier, vol. 189(C).
    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.
    4. Patrick H. O'Callaghan, 2019. "Second-order Inductive Inference: an axiomatic approach," Papers 1904.02934, arXiv.org, revised Mar 2021.

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