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How does ideology matter in the spatial model of voting?

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Abstract

In spatial voting games without a core, if candidates are constrained on one issue, they are implicitly constrained on other issues. Thus external constraints affect optimal positions for candidates. Using new solution concepts, we find the optimal position for a candidate given any linear constraint, given an opponent’s constraint, and determine conditions when constraints are sufficient to yield unbeatable positions.

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References

  • Asay, G. R., & Saari, D. G. (2006). Why negative campaigning? The chaotic dynamics of an election. Unpublished working paper, Institute for Mathematical Behavioral Sciences.

  • Bernhagen, P. (2001). Why parties make a difference: Mandates, ideology and reputation in partisan politics. Unpublished working paper, Department of Political Science, Trinity College Dublin.

  • Black, D., & Newing, R. A. (1951). Committee decisions with complementary valuation. London: Lowe and Brydon.

    Google Scholar 

  • Bradley, W. J., Hodge, J. K., & Kilgour, D. M. (2005). Separable discrete preferences. Mathematical Social Sciences, 49, 335–353.

    Article  Google Scholar 

  • Budge, I., Klingemann, H.-D., Volkens, A., Tannenbaum, E., & Bara, J. (2001). Mapping policy preferences: Estimates for parties, electors, and governments 1945–1998. Oxford: Oxford University Press.

    Google Scholar 

  • Davis, O. A., & Hinich, M. J. (1966). In Mathematical model of policy formation in a democratic society. Mathematical Applications in Political Science, II (pp. 175–208). Dallas: The Arnold Foundation of Southern Methodist University.

    Google Scholar 

  • Downs, A. (1957). An economic theory of democracy. New York: Harper and Row.

    Google Scholar 

  • Enelow, J. M., & Hinich, M. J. (1982). Ideology, issues, and the spatial theory of elections. The American Political Science Review, 76(3), 493–501.

    Article  Google Scholar 

  • Enelow, J. M., & Hinich, M. J. (1984). Probabilistic voting and the importance of centrist ideologies in democratic elections. The Journal of Politics, 46(2), 459–478.

    Article  Google Scholar 

  • Enelow, J. M., & Hinich, M. J. (1989). A general probabilistic spatial theory of elections. Public Choice, 61, 101–113.

    Article  Google Scholar 

  • Ferejohn, J. A., McKelvey, R. D., & Packel, E. W. (1984). Limiting distributions for continuous state Markov models. Social Choice and Welfare, 1(1), 45–67.

    Article  Google Scholar 

  • Glazer, A., & Grofman, B. N. (1989). Why representatives are ideologists while voters are not. Public Choice, 61(1), 29–39.

    Article  Google Scholar 

  • Gorman, W. M. (1968). The structure of utility functions. The Review of Economic Studies, 35(4), 367–390.

    Article  Google Scholar 

  • Hinich, M. J., & Munger, M. C. (1994). Ideology and the theory of political choice. Ann Arbor: The University of Michigan Press.

    Google Scholar 

  • Hinich, M. J., & Munger, M. C. (1997). Analytical politics. New York: The Cambridge University Press.

    Google Scholar 

  • Hotelling, H. (1929). Stability and competition. The Economic Journal, 39(March), 41–57.

    Article  Google Scholar 

  • Laver, M. (1997). Private desires, political action: An invitation to the politics of rational choice. London: Sage.

    Google Scholar 

  • McKelvey, R. D. (1979). General condidtions for global intransitivites in formal voting models. Econometrica, 47(September), 1085–1112.

    Article  Google Scholar 

  • Miller, N. R., & Hammond, T. H. (1990). Committees and the core. Public Choice, 66, 201–227.

    Article  Google Scholar 

  • Owen, G., & Shapley, L. S. (1989). Optimal location of candidates in ideological space. International Journal of Game Theory, 18, 339–356.

    Article  Google Scholar 

  • Plott, C. (1967). A notion of equilibrium and its possibility under majority rule. American Economic Review, 57(4), 787–806.

    Google Scholar 

  • Riccardi, N. (2006). From welcome to wary in Utah’. Los Angeles Times, April 30, 2006, 13.

    Google Scholar 

  • Saari, D. G. (1997). The generic existence of a core for Q-rules. Economic Theory, 9(56), 219–260.

    Google Scholar 

  • Saari, D. G. (2004). Geometry of chaotic and stable discussions. Mathematical Monthly, May, 377–393.

  • Saari, D. G., & Asay, G. R. (2006). Finessing a point; augmenting a core. Unpublished working paper, University of California, Irvine.

  • Shepsle, K. A., & Weingast, B. (1984). Uncovered sets and sophisticated voting outcomes with implications for agenda institutions. American Journal of Political Science, 28, 49–74.

    Article  Google Scholar 

  • Tullock, G. (1981). Why so much stability. Public Choice, 37(January), 189–205.

    Article  Google Scholar 

  • Wuffle, A., Feld, S. L., Owen, G., & Grofman, B. (1989). Finagle’s law and the finagle point, a new solution concept for two-candidate competition in spatial voting. American Journal of Political Science, 33(2), 348–375.

    Article  Google Scholar 

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Correspondence to Garrett R. Beeler Asay.

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Beeler Asay, G.R. How does ideology matter in the spatial model of voting?. Public Choice 135, 109–123 (2008). https://doi.org/10.1007/s11127-007-9241-2

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  • DOI: https://doi.org/10.1007/s11127-007-9241-2

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