Dotti, Valerio (2014): Generalized Comparative Statics for Political Economy Models.
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Abstract
The Median Voter Theorem is an extremely popular result in Political Economy that holds only if the policy space is unidimensional. This assumption restricts its use to a class of very simple problems. In most applications in the literature this implied an oversimplification of the problem studied, which is one of the possible explanations for the lack of empirical support for several predictions derived with this tool. In this paper I show that under suitable restrictions on individual preferences a Median Voter Theorem can be derived even if the policy space is multidimensional and I derive the comparative statics of the resulting model induced by a change in the pivotal voter. I show that this tool can invalidate the predictions of the Meltzer-Richard model of size of goverment and that it can be useful to study other Political Economy problems that cannot be analyzed using the traditional framework, including games in which players have a richer strategy set than the policy vector to be chosen.
Item Type: | MPRA Paper |
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Original Title: | Generalized Comparative Statics for Political Economy Models |
Language: | English |
Keywords: | median voter, multidimensionality, monotone comparative statics |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations D - Microeconomics > D7 - Analysis of Collective Decision-Making > D78 - Positive Analysis of Policy Formulation and Implementation |
Item ID: | 60711 |
Depositing User: | Mr Valerio Dotti |
Date Deposited: | 19 Dec 2014 18:44 |
Last Modified: | 01 Oct 2019 21:45 |
References: | Arrow, K.J., (1950). “A Difficulty in the Concept of Social Welfare”, Journal of Political Economy 58(4), 328–346. Bergson, A. (1976). “Social Choice and Welfare Economics under Representative Government”, Journal of Public Economics, 6, 171-190. Besley, T., Coate, S. (1997). “An Economic Model of Representative Democracy”, Quarterly Journal of Economics, 108(1), 85-114, 1997. Birkhoff, H. (1967). Lattice Theory. Vol. 25 of Colloquium publications. American Mathematical Soc. Black, D. (1948). “On the Rationale of Group Decisionmaking”, Journal of Political Economy, 56: 23-34. Davis, O.A., DeGroot, M.H., Hinich, M.J. (1972). “Social Preferences Orderings and Majority Rule”, Econometrica, Vol. 40, No. 1: 147-157. De Mello, L. and Tiongson, E.R. (2006), “Income Inequality and Redistributive Government Spending”, Public Finance Review, 34, 282-305. Downs, A. (1957). An Economic Theory of Democracy. New York: Harper Collins. Dotti, V. (2014). “The Political Economy of Publicly Provided Private Goods”, Working Paper. Enelow, J.M., Hinich, M.J. (1989). “A general probabilistic spatial theory of elections”, Publ& Choice 61: 101-113. Gibbard, A. (1973). “Manipulation of voting schemes: a general result”, Econometrica 41 (4): 587–601. Grandmont, J.-M. (1978). “Intermediate preferences and the majority rule”, Econometrica, 46, 317–330. Hotelling, H. (1929). “Stability in Competition”, The Economic Journal, Vol. 39, 41–57. Levy, G. (2004). “A model of political parties”, Journal of Economic Theory, 115, 250-277. Levy, G. (2005). “The Politics of Public Provision of Education”, The Quarterly Journal of Economics, Vol. 120, No. 4, pp. 1507-1534. Lindbeck A., Weibull, J.W. (1987). “Balanced-budget redistribution as the outcome of political competition”, Public Choice, 52, Number 3, 273-297. Meltzer, A.H., Richards, S.F. (1981). “A Rational Theory of the Size of Government”, The Journal of Political Economy, 89, Issue 5, 914-927. Milgrom, P., Shannon, C. (1994). “Monotone Comparative Statics”, Econometrica, Vol. 62(1): 157-180. Osborne, M.J., Slivinski, A. (1996). “A Model of Political Competition with Citizen-Candidates”, The Quarterly Journal of Economics, Vol. 111(1), 65-96. Plott, C.R. (1967). “A notion of equilibrium and its possibility under majority rule”, American Economic Review, 57 (Sept.): 787-806. Quah, J.K.-H. (2007). “The Comparative Statics of Constrained Optimization Problems”, Econometrica, Vol. 74, No. 2: 401-431. Ray, D., Vohra, R. (1997). “Equilibrium Binding Agreements”, Journal of Economic Theory, 73, 30-78. Roemer, J.E. (1999). “The Democratic Political Economy of Progressive Taxation”, Econometrica, 67, 1-19. Satterthwaite, M.A. (1975). “Strategy-proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions”. Journal of Economic Theory, 10: 187–217. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/60711 |
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