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Rationalizable voting

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  • Kalandrakis, Tasos

    ()
    (Department of Political Science, University of Rochester)

Abstract

When is a finite number of binary voting choices consistent with the hypothesis that the voter has preferences that admit a (quasi)concave utility representation? I derive necessary and sufficient conditions and a tractable algorithm to verify their validity. I show that the hypothesis that the voter has preferences represented by a concave utility function is observationally equivalent to the hypothesis that she has preferences represented by a quasiconcave utility function, I obtain testable restrictions on the location of voter ideal points, and I apply the conditions to the problem of predicting future voting decisions. Without knowledge of the location of the voting alternatives, voting decisions by multiple voters impose no joint testable restrictions on the location of their ideal points, even in one dimension. Furthermore, the voting records of any group of voters can always be embedded in a two-dimensional space with strictly concave utility representations and arbitrary ideal points for the voters. The analysis readily generalizes to choice situations over general finite budget sets.

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Bibliographic Info

Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 5 (2010)
Issue (Month): 1 (January)
Pages:

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Handle: RePEc:the:publsh:425

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Related research

Keywords: Voting; revealed preferences; ideal points;

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References

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  1. Rosa L. Matzkin & Marcel K. Richter, 1987. "Testing Strictly Concave Rationality," Cowles Foundation Discussion Papers 844, Cowles Foundation for Research in Economics, Yale University.
  2. Arianna Degan & Antonio Merlo, 2006. "Do Voters Vote Sincerely?," PIER Working Paper Archive 06-008, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  3. Cox, James C. & Friedman, Daniel & Sadiraj, Vjollca, 2009. "Revealed Altruism," Santa Cruz Department of Economics, Working Paper Series qt6rb5t4mc, Department of Economics, UC Santa Cruz.
  4. Francoise Forges & Enrico Minelli, 2006. "Afriat's Theorem for General Budget Sets," Working Papers ubs0609, University of Brescia, Department of Economics.
  5. Chavas, Jean-Paul & Cox, Thomas L, 1993. "On Generalized Revealed Preference Analysis," The Quarterly Journal of Economics, MIT Press, vol. 108(2), pages 493-506, May.
  6. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  7. Bogomolnaia, Anna & Laslier, Jean-Francois, 2007. "Euclidean preferences," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 87-98, February.
  8. Richter, Marcel K. & Wong, K.-C.Kam-Chau, 2004. "Concave utility on finite sets," Journal of Economic Theory, Elsevier, vol. 115(2), pages 341-357, April.
  9. Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-86, November.
  10. Yakar Kannai, 2005. "Remarks concerning concave utility functions on finite sets," Economic Theory, Springer, vol. 26(2), pages 333-344, 08.
  11. Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
  12. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
  13. Tasos Kalandrakis, 2006. "Roll Call Data and Ideal Points," Wallis Working Papers WP42, University of Rochester - Wallis Institute of Political Economy.
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Cited by:
  1. Jinhui Bai and Roger Lagunoff, 2010. "Revealed Political Power," Working Papers gueconwpa~10-10-01, Georgetown University, Department of Economics.
  2. Marc Henry & Ismael Mourifié, 2011. "Euclidean Revealed Preferences: Testing the Spatial Voting Model," CIRANO Working Papers 2011s-49, CIRANO.
  3. Andrei Gomberg, 2011. "Vote Revelation: Empirical Characterization of Scoring Rules," Working Papers 1102, Centro de Investigacion Economica, ITAM.
  4. Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
  5. Echenique, Federico & Chambers, Christopher P., 2014. "On the consistency of data with bargaining theories," Theoretical Economics, Econometric Society, vol. 9(1), January.
  6. Heufer, Jan, 2013. "Quasiconcave preferences on the probability simplex: A nonparametric analysis," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 21-30.
  7. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.

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