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Mixed equilibria in runoff elections

Listed author(s):
  • Xefteris, Dimitrios

We demonstrate that the Hotelling–Downs model with runoff voting always admits symmetric mixed strategy equilibria for any (even or odd) number of office-motivated candidates (provided they are at least four). In specific, (a) we show that the game does not admit any symmetric atomless equilibrium, (b) we fully characterize a class of symmetric atomic mixed equilibria which exist for any distribution of the voters' ideal policies and (c) we argue that these equilibria are more robust than pure strategy equilibria to introduction of uncertainty about the voters' preferences.

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File URL: http://www.sciencedirect.com/science/article/pii/S0899825613001310
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 87 (2014)
Issue (Month): C ()
Pages: 619-623

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Handle: RePEc:eee:gamebe:v:87:y:2014:i:c:p:619-623
DOI: 10.1016/j.geb.2013.09.002
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Osborne Martin J., 1993. "Candidate Positioning and Entry in a Political Competition," Games and Economic Behavior, Elsevier, vol. 5(1), pages 133-151, January.
  2. Fey, Mark, 2012. "Symmetric games with only asymmetric equilibria," Games and Economic Behavior, Elsevier, vol. 75(1), pages 424-427.
  3. Haan, Marco & Volkerink, Bjorn, 2001. "A runoff system restores the principle of minimum differentiation," European Journal of Political Economy, Elsevier, vol. 17(1), pages 157-162, March.
  4. Brusco, Sandro & Dziubiński, Marcin & Roy, Jaideep, 2012. "The Hotelling–Downs model with runoff voting," Games and Economic Behavior, Elsevier, vol. 74(2), pages 447-469.
  5. Shaked, A, 1982. "Existence and Computation of Mixed Strategy Nash Equilibrium for 3-Firms Location Problem," Journal of Industrial Economics, Wiley Blackwell, vol. 31(1-2), pages 93-96, September.
  6. Matsushima, Noriaki, 2007. "Uncertainty of voters' preferences and differentiation in a runoff system," European Journal of Political Economy, Elsevier, vol. 23(4), pages 1185-1189, December.
  7. Osborne, Martin J & Pitchik, Carolyn, 1986. "The Nature of Equilibrium in a Location Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 223-237, February.
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