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Rationalizable Voting

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Abstract

We derive necessary and sufficient conditions in order for a finite number of binary voting choices to be consistent with the hypothesis that voters have preferences that admit concave utility representations. When the location of the voting alternatives is known, we apply these conditions in order to derive simple, nontrivial testable restrictions on the location of voters’ ideal points, and in order to predict individual voting behavior. If, on the other hand, the location of voting alternatives is unrestricted then voting decisions impose no testable restrictions on the joint location of voter ideal points, even if the space of alternatives is one dimensional. Furthermore, two dimensions are always sufficient to represent or fold the voting records of any number of voters while endowing all these voters with strictly concave preferences and arbitrary ideal points. The analysis readily generalizes to choice situations over any finite sets of alternatives.

Suggested Citation

  • Tasos Kalandrakis, 2008. "Rationalizable Voting," Wallis Working Papers WP51, University of Rochester - Wallis Institute of Political Economy.
  • Handle: RePEc:roc:wallis:wp51
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    Cited by:

    1. Marc Henry & Ismael Mourifié, 2013. "Euclidean Revealed Preferences: Testing The Spatial Voting Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 650-666, June.
    2. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
    3. Andrei Gomberg, 2011. "Vote Revelation: Empirical Characterization of Scoring Rules," Working Papers 1102, Centro de Investigacion Economica, ITAM.
    4. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
    5. Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
    6. Heufer, Jan, 2013. "Quasiconcave preferences on the probability simplex: A nonparametric analysis," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 21-30.
    7. Jinhui H. Bai & Roger Lagunoff, 2013. "Revealed Political Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(4), pages 1085-1115, November.
    8. Chambers, Christopher P. & Echenique, Federico, 2014. "On the consistency of data with bargaining theories," Theoretical Economics, Econometric Society, vol. 9(1), January.
    9. Andrei Gomberg, 2018. "Revealed votes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 281-296, August.
    10. Mikhail Freer & Cesar Martinelli, 2020. "An Algebraic Approach to Revealed Preference," Working Papers 1078, George Mason University, Interdisciplinary Center for Economic Science.
    11. Nikolaos Argyris & Alec Morton & José Rui Figueira, 2014. "CUT: A Multicriteria Approach for Concavifiable Preferences," Operations Research, INFORMS, vol. 62(3), pages 633-642, June.

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    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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