Single-Crossing, Strategic Voting and the Median Choice Rule
This paper studies the strategic foundations of the Representative Voter Theorem (Rothstein, 1991), also called the "second version" of the Median Voter Theorem. As a by-product, it also considers the existence of non-trivial strategy-proof social choice functions over the domain of single-crossing preference profiles. The main result presented here is that single-crossing preferences constitute a domain restriction on the real line that allows not only majority voting equilibria, but also non-manipulable choice rules. In particular, this is true for the median choice rule, which is found to be strategy-proof and group-strategic-proof not only over the full set of alternatives, but also over every possible policy agenda. The paper also shows the close relation between single-crossing and order-restriction. And it uses this relation together with the strategy-proofness of the median choice rule to prove that the collective outcome predicted by the Representative Voter Theorem can be implemented in dominant strategies through a simple mechanism in which, first, individuals select a representative among themselves, and then the representative voter chooses a policy to be implemented by the planner.
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- Persson, T. & Tabellini, G., 1997.
"Political Economics and Macroeconomic Policy,"
630, Stockholm - International Economic Studies.
- Torsten Persson & Guido Tabellini, 1997. "Political Economics and Macroeconomic Policy," NBER Working Papers 6329, National Bureau of Economic Research, Inc.
- Persson, Torsten & Tabellini , Guido, 1997. "Political Economics and Macroeconomic Policy," Seminar Papers 630, Stockholm University, Institute for International Economic Studies.
- Torsten Persson & Guido Tabellini, "undated". "Political Economics and Macroeconomic Policy," Working Papers 121, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Persson, Torsten & Tabellini, Guido, 1997. "Political Economics and Macroeconomic Policy," CEPR Discussion Papers 1759, C.E.P.R. Discussion Papers.
- Martin J Osborne & Ariel Rubinstein, 2009.
"A Course in Game Theory,"
814577000000000225, UCLA Department of Economics.
- Barbera, S. & Masso, J. & Neme, A., 1992.
"Voting Under Constraints,"
UFAE and IAE Working Papers
200.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Salvador Barberà, 2001. "An introduction to strategy-proof social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 619-653.
- Ching, Stephen & Serizawa, Shigehiro, 1998. "A Maximal Domain for the Existence of Strategy-Proof Rules," Journal of Economic Theory, Elsevier, vol. 78(1), pages 157-166, January.
- Milgrom, Paul & Shannon, Chris, 1994.
"Monotone Comparative Statics,"
Econometric Society, vol. 62(1), pages 157-180, January.
- List, Christian, 2003.
"A possibility theorem on aggregation over multiple interconnected propositions,"
Mathematical Social Sciences,
Elsevier, vol. 45(1), pages 1-13, February.
- Christian List, 2002. "A Possibility Theorem on Aggregation Over Multiple Interconnected Propositions," Economics Series Working Papers 123, University of Oxford, Department of Economics.
- Barbera, S., 1995. "Notes on a Strategy-Proof Social Choice Functions," UFAE and IAE Working Papers 292.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
- Alejandro Saporiti, 2008.
"Strategy-Proofness and Single-Crossing,"
Wallis Working Papers
WP55, University of Rochester - Wallis Institute of Political Economy.
- Salvador Barbera & Matthew Jackson, 1991. "A Characterization of Strategy-Proof Social Choice Functions for Economies with Pure Public Goods," Discussion Papers 964, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Alejandro Neme & Jordi MassÔ & Salvador BarberÁ, 1999. "Maximal domains of preferences preserving strategy-proofness for generalized median voter schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 321-336.
- Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
- Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
- Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
- Roger B. Myerson, 1996.
"Fundamentals of Social Choice Theory,"
1162, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
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