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Individual preferences and democratic processes: two theorems with implications for electoral politics

Author

Listed:
  • Kaushik Basu

    (Cornell University)

  • Tapan Mitra

    (Cornell University)

Abstract

The paper provides a complete characterization of Nash equilibria for games in which n candidates choose a strategy in the form of a platform, each from a circle of feasible platforms, with the aim of maximizing the stretch of the circle from where the candidate’s platform will receive support from the voters. Using this characterization, it is shown that if the sum of all players’ payoffs is 1, the Nash equilibrium payoff of each player in an arbitrary Nash equilibrium must be restricted to the interval $$ [1/2(n-1),2/(n+1)].$$[1/2(n-1),2/(n+1)]. This implies that in an election with four candidates, a candidate who is attracting less than one-sixth of the voters can do better by changing his or her strategy.

Suggested Citation

  • Kaushik Basu & Tapan Mitra, 2020. "Individual preferences and democratic processes: two theorems with implications for electoral politics," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 259-292, March.
    • Handle: RePEc:spr:sochwe:v:54:y:2020:i:2:d:10.1007_s00355-019-01175-9
    DOI: 10.1007/s00355-019-01175-9
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    References listed on IDEAS

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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. Brander, James A. & Spencer, Barbara J., 2015. "Intra-industry trade with Bertrand and Cournot oligopoly: The role of endogenous horizontal product differentiation," Research in Economics, Elsevier, vol. 69(2), pages 157-165.
    3. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9780521171960, October.
    4. James A. Brander & Barbara J. Spencer, 2015. "Endogenous Horizontal Product Differentiation under Bertrand and Cournot Competition: Revisiting the Bertrand Paradox," NBER Working Papers 20966, National Bureau of Economic Research, Inc.
    5. Richard Schmalensee, 1978. "Entry Deterrence in the Ready-to-Eat Breakfast Cereal Industry," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 305-327, Autumn.
    6. Pal, Debashis, 1998. "Does Cournot competition yield spatial agglomeration?," Economics Letters, Elsevier, vol. 60(1), pages 49-53, July.
    7. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    8. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    9. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    10. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    11. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    12. Matsushima, Noriaki, 2001. "Cournot competition and spatial agglomeration revisited," Economics Letters, Elsevier, vol. 73(2), pages 175-177, November.
    13. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    14. Stokes, Donald E., 1963. "Spatial Models of Party Competition," American Political Science Review, Cambridge University Press, vol. 57(2), pages 368-377, June.
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