Azrieli, Yaron (2009): Characterization of multidimensional spatial models of elections with a valence dimension.
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Spatial models of political competition are typically based on two assumptions. One is that all the voters identically perceive the platforms of the candidates and agree about their score on a "valence" dimension. The second is that each voter's preferences over policies are decreasing in the distance from that voter's ideal point, and that valence scores enter the utility function in an additively separable way. The goal of this paper is to examine the restrictions that these two assumptions impose, starting from a more primitive (and observable) data. Specifically, we consider the case where only the ideal point in the policy space and the ranking over candidates are known for each voter. We provide necessary and su±cient conditions for this collection of preference relations to be consistent with utility maximization as in the standard models described above. That is, we characterize the case where there are policies x1,...,xm for the m candidates and numbers v1,...,vm representing valence scores, such that a voter with an ideal policy y ranks the candidates according to vi-||xi-y||^2.
|Item Type:||MPRA Paper|
|Original Title:||Characterization of multidimensional spatial models of elections with a valence dimension|
|Keywords:||Elections; Spatial model; Valence; Euclidean preferences|
|Subjects:||D - Microeconomics > D7 - Analysis of Collective Decision-Making > D72 - Political Processes: Rent-Seeking, Lobbying, Elections, Legislatures, and Voting Behavior|
|Depositing User:||Yaron Azrieli|
|Date Deposited:||08. Apr 2009 14:15|
|Last Modified:||12. Feb 2013 00:42|
Ansolabehere, S. and J. M. Snyder, JR (2000) Valence politics and equilibrium in spatial election models, Public Choice 51, 327-336.
Aragones, E. and T. R. Palfrey (2002) Mixed equilibrium in a Downasian model with a favored candidate, Journal of Economic Theory 103, 131-161.
Ash, P. F. and E. Bolker (1985) Recognizing Dirichlet tessellation, Geometria Dedicata 19, 175-206.
Ash, P. F. and E. Bolker (1986) Generalized Dirichlet tessellation, Geometria Dedicata 20, 209-243.
Aurenhammer, F. (1987) Power diagrams: Properties, algorithms and applications, SIAM Journal on Computing 16, 78-96.
Azrieli, Y. and E. Lehrer (2007) Categorization generated by extended prototypes -- an axiomatic approach, Journal of Mathematical Psychology 51, 14-28.
Boots, B., A. Okabe and K. Sugihara (1992) Spatial Tessellations, John Wiley and Sons Ltd, England.
Degan, A. (2007) Candidate valence: Evidence from consecutive presidential elections, International Economic Review 48, 457-482.
Dix, M. and R. Santore (2002) Candidate ability and platform choice, Economics letters 76, 189-194.
Downs, A. (1957) An Economic Theory of Democracy, Harper, New York.
Enelow, J. and M. J. Hinich (1981) A new approach to voter uncertainty in the Downasian spatial model, American Journal of Political Science 25, 483-493.
Gersbach, H. (1998) Communication skills and competition for donors, European Journal of Political Economy 14, 3-18.
Gilboa, I. and D. Schmeidler (2001) A Theory of Case-Based Decisions, Cambridge University Press.
Groseclose, T. (2001) A model of candidate location when one candidate has a valence advantage, American Journal of Political Science 45, 862-886.
Hotelling, H. (1929) Stability in competition, Economic Journal 39, 41-57.
Kim, K. (2005) Valence characteristics and entry of a third party, Economics Bulletin 4, 1-9.
Matousek, J. (2002) Lectures on Discrete Geometry, Springer-Verlag, New York, USA.
Myerson, R. B. (1995) Axiomatic derivation of scoring rules without the ordering assumption, Social Choice and Welfare 12, 59-74.
Schofield, N. (2007) The mean voter theorem: Necessary and sufficient conditions for convergent equilibrium, Review of Economic Studies 74, 965-980.
Smith, J. (1973) Aggregation of preferences with a variable electorate, Econometrica 41, 1027-1041.
Young, H. P. (1975) Social choice scoring functions, Siam Journal on Applied Mathematics 28, 824-838.
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