IDEAS home Printed from https://ideas.repec.org/p/wbk/wbrwps/7701.html
   My bibliography  Save this paper

Nash on a rotary : two theorems with implications for electoral politics

Author

Listed:
  • Basu,Kaushik
  • Mitra,Tapan

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)]. 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

  • Basu,Kaushik & Mitra,Tapan, 2016. "Nash on a rotary : two theorems with implications for electoral politics," Policy Research Working Paper Series 7701, The World Bank.
  • Handle: RePEc:wbk:wbrwps:7701
    as

    Download full text from publisher

    File URL: http://documents.worldbank.org/curated/en/641401467995054018/pdf/WPS7701.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    3. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    4. 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.
    5. Matsushima, Noriaki, 2001. "Cournot competition and spatial agglomeration revisited," Economics Letters, Elsevier, vol. 73(2), pages 175-177, November.
    6. Stokes, Donald E., 1963. "Spatial Models of Party Competition," American Political Science Review, Cambridge University Press, vol. 57(2), pages 368-377, June.
    7. Pal, Debashis, 1998. "Does Cournot competition yield spatial agglomeration?," Economics Letters, Elsevier, vol. 60(1), pages 49-53, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Pierre Picard & Takatoshi Tabuchi, 2010. "Self-organized agglomerations and transport costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 565-589, March.
    3. Fabian Gouret & Guillaume Hollard & Stéphane Rossignol, 2011. "An empirical analysis of valence in electoral competition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 309-340, July.
    4. Chia-Hung Sun & Jyh-Fa Tsai & Fu-Chuan Lai, 2017. "Spatial Cournot competition in a circular city with more than two dispatches," The Japanese Economic Review, Japanese Economic Association, vol. 68(4), pages 413-442, December.
    5. Buechel, Berno & Roehl, Nils, 2015. "Robust equilibria in location games," European Journal of Operational Research, Elsevier, vol. 240(2), pages 505-517.
    6. Qiang Wang & Qi Chen, 2008. "Cournot competition and location choice with wage bargaining," Economics Bulletin, AccessEcon, vol. 12(22), pages 1-5.
    7. Li, Changying, 2006. "Location choice in a mixed oligopoly," Economic Modelling, Elsevier, vol. 23(1), pages 131-141, January.
    8. Gupta, Barnali & Lai, Fu-Chuan & Pal, Debashis & Sarkar, Jyotirmoy & Yu, Chia-Ming, 2004. "Where to locate in a circular city?," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 759-782, June.
    9. Takanori Ago & Hamid Hamoudi & Yassine Lefouili, 2017. "Firm location and monopolistic competition," Papers in Regional Science, Wiley Blackwell, vol. 96(1), pages 211-219, March.
    10. P M Picard & T Tabuchi, 2003. "Natural Agglomeration," The School of Economics Discussion Paper Series 0329, Economics, The University of Manchester.
    11. Kaushik Basu, 2017. "The globe and the circle," Indian Economic Review, Springer, vol. 52(1), pages 93-101, December.
    12. Chia-Hung Sun & Jyh-Fa Tsai & Fu-Chuan Lai, 2017. "Spatial Cournot Competition in a Circular City with More than Two Dispatches," The Japanese Economic Review, Springer, vol. 68(4), pages 413-442, December.
    13. Tomasz Kopczewski & Maciej Pogorzelski, 2009. "Influence of the size of the company on developing of decision-making process of the enterprise concerning the spatial location," Ekonomia journal, Faculty of Economic Sciences, University of Warsaw, vol. 23.
    14. Simon Loertscher & Gerd Muehlheusser, 2008. "Dynamic Location Games," Department of Economics - Working Papers Series 1042, The University of Melbourne.
    15. Persson, Torsten & Tabellini, Guido, 2002. "Political economics and public finance," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 3, chapter 24, pages 1549-1659, Elsevier.
    16. Burkhard Schipper & Hee Yeul Woo, 2012. "Political Awareness and Microtargeting of Voters in Electoral Competition," Working Papers 124, University of California, Davis, Department of Economics.
    17. Peter J. Coughlin, 2015. "Probabilistic voting in models of electoral competition," Chapters, in: Jac C. Heckelman & Nicholas R. Miller (ed.), Handbook of Social Choice and Voting, chapter 13, pages 218-234, Edward Elgar Publishing.
    18. Nagler Matthew G., 2007. "Understanding the Internet's Relevance to Media Ownership Policy: A Model of Too Many Choices," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 7(1), pages 1-28, June.
    19. Siddhartha Bandyopadhyay & Manaswini Bhalla & Kalysan Chatterjee & Jaideep Roy, 2014. "Ideological Dissent in Downsian Politics," Discussion Papers 14-04, Department of Economics, University of Birmingham.
    20. Jaideep Roy & Marcin Dziubinski, 2008. "Electoral Competition amongst Citizen-candidates and Downsian Politicians," CEDI Discussion Paper Series 08-10, Centre for Economic Development and Institutions(CEDI), Brunel University.

    More about this item

    Keywords

    Peace&Peacekeeping;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wbk:wbrwps:7701. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/dvewbus.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Roula I. Yazigi (email available below). General contact details of provider: https://edirc.repec.org/data/dvewbus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.