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The Hotelling–Downs model with runoff voting

  • Brusco, Sandro
  • Dziubiński, Marcin
  • Roy, Jaideep

We consider the Hotelling–Downs model with n⩾3 office-seeking candidates and runoff voting. We show that Nash equilibria in pure strategies always exist and that there are typically multiple equilibria, both convergent (all candidates are located at the median) and divergent (candidates locate at distinct positions), though only divergent equilibria are robust to free entry. Moreover, two-policy equilibria exist under any distribution of votersʼ ideal policies, while equilibria with more than two policies exist generically but under restrictive conditions that we characterize.

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File URL: http://www.sciencedirect.com/science/article/pii/S0899825611001321
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 74 (2012)
Issue (Month): 2 ()
Pages: 447-469

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Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:447-469
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. Bordignon, Massimo & Nannicini, Tommaso & Tabellini, Guido, 2013. "Moderating Political Extremism: Single Round vs Runoff Elections under Plurality Rule," IZA Discussion Papers 7561, Institute for the Study of Labor (IZA).
  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. 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.
  5. Matthias Messner & Mattias Polborn, 2007. "Strong and coalition-proof political equilibria under plurality and runoff rule," International Journal of Game Theory, Springer, vol. 35(2), pages 287-314, January.
  6. Martin J. Osborne & Al Slivinksi, 1995. "A Model of Political Competition with Citizen-Candidates," Department of Economics Working Papers 1995-01, McMaster University.
  7. Palfrey, Thomas R, 1984. "Spatial Equilibrium with Entry," Review of Economic Studies, Wiley Blackwell, vol. 51(1), pages 139-56, January.
  8. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135.
  9. Stephen Wright & William Riker, 1989. "Plurality and runoff systems and numbers of candidates," Public Choice, Springer, vol. 60(2), pages 155-175, February.
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