Skip to main content
Log in

Third parties in equilibrium

  • Published:
Public Choice Aims and scope Submit manuscript

Abstract

Under standard assumptions equilibria with three parties normally do not exist in spatial models of electoral competition. In this paper I show that such equilibria are possible if it is assumed that voters are uncertain about the exact policies parties will adopt once elected. Substantive predictions can be derived from the model, explaining some features of three-party competition. First, the least risk party will always take the most moderate position. Second, this position is also winning. Third, the two riskier parties are always on opposite sides of the median voter and also of the moderate party.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Austen-Smith, D. and Banks, J.S. (1988). Elections, coalitions, and legislative outcomes.American Political Science Review 82: 405–422.

    Google Scholar 

  • Banks, J.S. (1990). A model of electoral competition with incomplete information.Journal of Economic Theory 50: 309–325.

    Google Scholar 

  • Bernhardt, M.D. and Ingberman, D.E. (1985). Candidate reputations and the ‘incumbency effect’.Journal of Public Economics 27: 47–67.

    Google Scholar 

  • Bogdanor, V. (1981). The Social Democrats and the Constitution (Difficulties confronting the newly formed party).Political Quarterly 52: 285–294.

    Google Scholar 

  • Dasgupta, P. and Maskin, E. (1986a). The existence of equilibrium in discontinuous economic games, I: Theory.Review of Economic Studies 53: 1–26.

    Google Scholar 

  • Dasgupta, P. and Maskin, E. (1986b). The existence of equilibrium in discontinuous economic games, II: Applications.Review of Economic Studies 53: 27–41.

    Google Scholar 

  • Eaton, B.C. and Lipsey, R.G. (1975). The principle of minimum differentiation reconsidered: Some new developments in the theory of spatial competition.Review of Economic Studies 42: 27–49.

    Google Scholar 

  • Enelow, J.H. and Hinich, M.J. (1981). A new approach to voter uncertainty in the Downsian spatial model.American Journal of Political Science 25: 483–493.

    Google Scholar 

  • Enelow, J.H. and Hinich, M.J. (1984).The spatial theory of voting: An introduction. Cambridge: Cambridge University Press.

    Google Scholar 

  • Feddersen, T.J., Sened, I. and Wright, S.G. (1990). Rational voting and candidate entry under plurality rule.American Journal of Political Science 34: 1005–1016.

    Google Scholar 

  • Franklin, C.H. (1991). Eschewing obfuscation?: Campaigns and the perception of Senate incumbents.American Political Science Review 85: 1193–1214.

    Google Scholar 

  • Greenberg, J. and Shepsle, K.A. (1987). The effect of electoral rewards in multi-party competition with entry.American Political Science Review 81: 525–537.

    Google Scholar 

  • Hermsen, H. and Verbeek, A. (1992), Equilibria in multi-party systems.Public Choice 73: 147–166.

    Google Scholar 

  • Lemieux, P.H. (1977). Political issues and liberal support in the February 1974 British General Election.Political Studies 25: 323–342.

    Google Scholar 

  • Osborne, M.J. (1992). Candidate positioning and entry in a political competition. Hamilton, Ontario: Department of Economics, McMaster University (Working Paper No. 92-09).

    Google Scholar 

  • Palfrey, T.R. (1984). Spatial equilibrium with entry.Review of Economic Studies 51: 139–156.

    Google Scholar 

  • Pinard, M. (1967). One-party dominance and third parties.Canadian Journal of Economics and Political Science 33: 358–373.

    Google Scholar 

  • Rosenstone, S.J., Behr, R.L. and Lazarus, E.H. (1984).Third parties in America. Princeton: Princeton University Press.

    Google Scholar 

  • Shaked, A. (1982). Existence and computation of mixed strategy nash equilibrium for 3-firms location problem.Journal of Industrial Economics 31: 93–96.

    Google Scholar 

  • Shepsle, K.A. (1972a). Parties, voters, and the risk environment: A mathematical treatment of electoral competition under uncertainty. In R.G. Niemi and H.F Weisberg (Eds.),Probability models of collective decision-making, 273–297. Columbus: Merrill.

    Google Scholar 

  • Shepsle, K.A. (1972b). The strategy of ambiguity: Uncertainty and electoral competition.American Political Science Review 66: 555–568.

    Google Scholar 

  • Shepsle, K.A. (1991).Models of multiparty competition. London: Harwood.

    Google Scholar 

  • Shepsle, K.A. and Cohen, R.N. (1990). Multiparty competition, entry, and entry deterrence in spatial models of elections. In J.M. Enelow and M.J. Hinich (Eds.),Advances in the spatial theory of voting. Cambridge: Cambridge University Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This is a heavily revised version of the paper “Uncertainty and New Political Parties,” prepared for presentation at the Annual Meeting of the Midwest Political Science Association, Chicago 1992. Thanks to Chris Achen, Jeff Banks, Lars-Erik Cederman, Douglas Dion, Joel Kaji, Martin Osborne, Gerald Schneider and an anonymous reviewer for their extremely helpful remarks. While almost all interesting and important ideas of this paper are theirs, the remaining errors, shortcomings and not-so-good ideas are all mine.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hug, S. Third parties in equilibrium. Public Choice 82, 159–180 (1995). https://doi.org/10.1007/BF01047735

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01047735

Keywords

Navigation