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Simple centrifugal incentives in spatial competition

Listed author(s):
  • Dimitrios Xefteris

    ()

    (University of Cyprus)

  • Didier Laussel

    (Aix-Marseille University)

  • Michel Le Breton

    (University of Toulouse Capitole)

Abstract This paper studies the effects of introducing centrifugal incentives in an otherwise standard Downsian model of electoral competition. First, we demonstrate that a symmetric equilibrium is guaranteed to exist when centrifugal incentives are induced by any kind of partial voter participation (such as abstention due to indifference, abstention due to alienation, etc.) and, then, we argue that: (a) this symmetric equilibrium is in pure strategies, and it is hence convergent, only when centrifugal incentives are sufficiently weak on both sides; (b) when centrifugal incentives are strong on both sides (when, for example, a lot of voters abstain when they are sufficiently indifferent between the two candidates) players use mixed strategies—the stronger the centrifugal incentives, the larger the probability weight that players assign to locations near the extremes; and (c) when centrifugal incentives are strong on one side only—say for example only on the right—the support of players’ mixed strategies contain all policies except from those that are sufficiently close to the left extreme.

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File URL: http://link.springer.com/10.1007/s00182-016-0540-z
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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 46 (2017)
Issue (Month): 2 (May)
Pages: 357-381

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Handle: RePEc:spr:jogath:v:46:y:2017:i:2:d:10.1007_s00182-016-0540-z
DOI: 10.1007/s00182-016-0540-z
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  1. Martin J. Osborne, 1995. "Spatial Models of Political Competition under Plurality Rule: A Survey of Some Explanations of the Number of Candidates and the Positions They Take," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 261-301, May.
  2. Xefteris, Dimitrios, 2013. "Equilibria in unidirectional spatial models," Economics Letters, Elsevier, vol. 119(2), pages 146-149.
  3. Samuel Merrill III & James Adams, 2002. "Centrifugal Incentives in Multi-Candidate Elections," Journal of Theoretical Politics, , vol. 14(3), pages 275-300, July.
  4. Glazer, Amihai & Grofman, Bernard & Owen, Guillermo, 1998. "A Neo-Downsian Model of Group-Oriented Voting and Racial Backlash," Public Choice, Springer, vol. 97(1-2), pages 23-34, October.
  5. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
  6. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135-135.
  7. Aragones, Enriqueta & Palfrey, Thomas R., 2002. "Mixed Equilibrium in a Downsian Model with a Favored Candidate," Journal of Economic Theory, Elsevier, vol. 103(1), pages 131-161, March.
  8. Enriqueta Aragones & Dimitrios Xefteris, 2013. "Imperfectly informed voters and strategic extremism," UFAE and IAE Working Papers 938.13, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  9. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
  10. Xefteris, Dimitrios, 2015. "Symmetric zero-sum games with only asymmetric equilibria," Games and Economic Behavior, Elsevier, vol. 89(C), pages 122-125.
  11. Fey, Mark, 2012. "Symmetric games with only asymmetric equilibria," Games and Economic Behavior, Elsevier, vol. 75(1), pages 424-427.
  12. Konstantinos Matakos & Orestis Troumpounis & Dimitrios Xefteris, 2014. "Turnout and polarization under alternative electoral systems," Working Papers 77401404, Lancaster University Management School, Economics Department.
  13. Indridi H Indridason, 2013. "Expressive motives and third-party candidates," Journal of Theoretical Politics, , vol. 25(2), pages 182-213, April.
  14. Hortala-Vallve, Rafael & Esteve-Volart, Berta, 2011. "Voter turnout and electoral competition in a multidimensional policy space," European Journal of Political Economy, Elsevier, vol. 27(2), pages 376-384, June.
  15. Cancian, Maria & Bills, Angela & Bergstrom, Theodore, 1995. "Hotelling Location Problems with Directional Constraints: An Application to Television News Scheduling," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 121-124, March.
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