AbstractWe 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.
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Bibliographic InfoPaper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP51.
Length: 38 pages
Date of creation: Jan 2008
Date of revision:
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Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.
Other versions of this item:
- D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-02 (All new papers)
- NEP-CDM-2008-02-02 (Collective Decision-Making)
- NEP-DCM-2008-02-02 (Discrete Choice Models)
- NEP-POL-2008-02-02 (Positive Political Economics)
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- James C. Cox & Daniel Friedman & Vjollca Sadiraj, 2008.
Econometric Society, vol. 76(1), pages 31-69, 01.
- James C. Cox & Daniel Friedman & Vjollca Sadiraj, . "Revealed Altruism," Experimental Economics Center Working Paper Series 2006-09, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University, revised Jul 2007.
- 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.
- Jim C. Cox & Daniel Friedman & Vjollca Sadiraj, 2005. "Revealed Altruism," Levine's Bibliography 784828000000000595, UCLA Department of Economics.
- Yakar Kannai, 2005. "Remarks concerning concave utility functions on finite sets," Economic Theory, Springer, vol. 26(2), pages 333-344, 08.
- Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-86, November.
- Matzkin, Rosa L. & Richter, Marcel K., 1991.
"Testing strictly concave rationality,"
Journal of Economic Theory,
Elsevier, vol. 53(2), pages 287-303, April.
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
- 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.
- Francoise Forges & Enrico Minelli, 2006.
"Afriat's Theorem for General Budget Sets,"
ubs0609, University of Brescia, Department of Economics.
- Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Open Access publications from UniversitÃ© Paris-Dauphine urn:hdl:123456789/4099, Université Paris-Dauphine.
- Francoise Forges & Enrico Minelli, 2006. "Afriat’s Theorem for General Budget Sets," CESifo Working Paper Series 1703, CESifo Group Munich.
- 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.
- Degan, Arianna & Merlo, Antonio, 2007. "Do Voters Vote Sincerely?," CEPR Discussion Papers 6165, C.E.P.R. Discussion Papers.
- Arianna Degan & Antonio Merlo, 2007. "Do Voters Vote Sincerely?," NBER Working Papers 12922, National Bureau of Economic Research, Inc.
- Antonio Merlo & Arianna Degan, 2007. "Do Voters Vote Sincerely?," 2007 Meeting Papers 307, Society for Economic Dynamics.
- Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
- 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.
- Anna Bogomolnaïa & Jean-François Laslier, 2004.
- Tasos Kalandrakis, 2006. "Roll Call Data and Ideal Points," Wallis Working Papers WP42, University of Rochester - Wallis Institute of Political Economy.
- Azrieli, Yaron, 2011. "Axioms for Euclidean preferences with a valence dimension," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 545-553.
- Jinhui H. Bai & Roger Laguno ff, 2010.
"Revealed Political Power,"
Levine's Working Paper Archive
661465000000000106, David K. Levine.
- Echenique, Federico & Chambers, Christopher P., 0. "On the consistency of data with bargaining theories," Theoretical Economics, Econometric Society.
- Heufer, Jan, 2013. "Quasiconcave preferences on the probability simplex: A nonparametric analysis," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 21-30.
- Andrei Gomberg, 2011. "Vote Revelation: Empirical Characterization of Scoring Rules," Working Papers 1102, Centro de Investigacion Economica, ITAM.
- Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
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