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.
|Date of creation:||Jan 2008|
|Date of revision:|
|Contact details of provider:|| Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Forges, Françoise & Minelli, Enrico, 2009.
"Afriat's theorem for general budget sets,"
Economics Papers from University Paris Dauphine
123456789/4099, Paris Dauphine University.
- Antonio Merlo & Arianna Degan, 2007.
"Do Voters Vote Sincerely?,"
2007 Meeting Papers
307, Society for Economic Dynamics.
- 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.
- 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.
- James C. Cox & Daniel Friedman & Vjollca Sadiraj, 2008.
Econometric Society, vol. 76(1), pages 31-69, 01.
- Jim C. Cox & Daniel Friedman & Vjollca Sadiraj, 2005. "Revealed Altruism," Levine's Bibliography 784828000000000595, UCLA Department of Economics.
- 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.
- 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.
- Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
- Jean-Paul Chavas & Thomas L. Cox, 1993. "On Generalized Revealed Preference Analysis," The Quarterly Journal of Economics, Oxford University Press, vol. 108(2), pages 493-506.
- Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-86, November.
- Tasos Kalandrakis, 2006. "Roll Call Data and Ideal Points," Wallis Working Papers WP42, University of Rochester - Wallis Institute of Political Economy.
- Anna Bogomolnaïa & Jean-François Laslier, 2004.
- Matzkin, Rosa L. & Richter, Marcel K., 1991.
"Testing strictly concave rationality,"
Journal of Economic Theory,
Elsevier, vol. 53(2), pages 287-303, April.
- 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.
- Yakar Kannai, 2005. "Remarks concerning concave utility functions on finite sets," Economic Theory, Springer, vol. 26(2), pages 333-344, 08.
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
When requesting a correction, please mention this item's handle: RePEc:roc:wallis:wp51. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard DiSalvo)
If references are entirely missing, you can add them using this form.