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Multiple Equilibria in Tullock Contests

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  • Subhasish M. Chowdhury

    ()
    (School of Economics, University of East Anglia)

  • Roman M. Sheremeta

    (Argyros School of Business and Economics, Chapman University)

Abstract

We find the sufficient conditions for the existence of multiple equilibria in Tullock-type contests and show that asymmetric equilibria may arise even under symmetric prize and cost structures. We also identify contests in the literature where multiple equilibria exist under reasonably weak conditions.

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Bibliographic Info

Paper provided by School of Economics, University of East Anglia, Norwich, UK. in its series University of East Anglia Applied and Financial Economics Working Paper Series with number 014.

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Date of creation: 17 Sep 2010
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Handle: RePEc:uea:aepppr:2010_14

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Postal: Helen Chapman, School of Economics, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, UK
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Keywords: rent-seeking; contest; asymmetric equilibrium; multiple equilibria;

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References

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  1. Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2000. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Tinbergen Institute Discussion Papers 00-103/2, Tinbergen Institute.
  2. Subhasish M. Chowdhury & Roman M. Sheremeta, 2010. "A generalized Tullock contest," Working Papers 10-08, Chapman University, Economic Science Institute.
  3. Glazer, Amihai & Konrad, Kai A., 1999. "Taxation of rent-seeking activities," Journal of Public Economics, Elsevier, vol. 72(1), pages 61-72, April.
  4. Christian Riis & Derek J. Clark, 1997. "Contest success functions: an extension," Economic Theory, Springer, vol. 11(1), pages 201-204.
  5. Takeshi Yamazaki, 2008. "On the Existence and Uniqueness of Pure-Strategy Nash Equilibrium in Asymmetric Rent-Seeking Contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(2), pages 317-327, 04.
  6. Alexander Matros & Daniel Armanios, 2009. "Tullock’s contest with reimbursements," Public Choice, Springer, vol. 141(1), pages 49-63, October.
  7. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  8. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
  9. Richard Cornes & Roger Hartley, 2002. "Asymmetric Contests with General Technologies," Keele Economics Research Papers KERP 2002/22, Centre for Economic Research, Keele University.
  10. Mark Gradstein, 1995. "Intensity Of Competition, Entry And Entry Deterrence In Rent Seeking Contests," Economics and Politics, Wiley Blackwell, vol. 7(1), pages 79-91, 03.
  11. Amegashie, J Atsu, 1999. " The Number of Rent-Seekers and Aggregate Rent-Seeking Expenditures: An Unpleasant Result," Public Choice, Springer, vol. 99(1-2), pages 57-62, April.
  12. Paul, Chris & Wilhite, Al, 1990. " Efficient Renk-Seeking under Varying Cost Structures," Public Choice, Springer, vol. 64(3), pages 279-90, March.
  13. Alexander Matros, 2006. "Sad-Loser Lottery," Working Papers 204, University of Pittsburgh, Department of Economics, revised Dec 2008.
  14. Cohen, Chen & Sela, Aner, 2005. "Manipulations in contests," Economics Letters, Elsevier, vol. 86(1), pages 135-139, January.
  15. Chung, Tai-Yeong, 1996. " Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
  16. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
  17. Nti, Kofi O, 1999. " Rent-Seeking with Asymmetric Valuations," Public Choice, Springer, vol. 98(3-4), pages 415-30, March.
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Citations

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Cited by:
  1. Subhasish M. Chowdhury & Dongryul Lee & Roman M. Sheremeta, 2011. "Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes," University of East Anglia Applied and Financial Economics Working Paper Series 024, School of Economics, University of East Anglia, Norwich, UK..
  2. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
  3. Shupp, Robert & Sheremeta, Roman, 2013. "Resource Allocation Contests: Experimental Evidence," MPRA Paper 49889, University Library of Munich, Germany.
  4. Chowdhury, Subhasish & Sheremeta, Roman, 2014. "Strategically Equivalent Contests," MPRA Paper 55450, University Library of Munich, Germany.
  5. Einy, E & Haimanko, O & Moreno, D & Sela, A & Shitovitz, B, 2013. "Tullock Contests with Asymmetric Information," Discussion Papers 2013-11, Graduate School of Economics, Hitotsubashi University.
  6. Steven Tucker & Charles Noussair & Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, 07.
  7. Ezra Einy & Ori Haimanko & Diego Moreno & Aner Sela & Benyamin Shitovitz, 2013. "Tullock Contests With Asymmetric Information," Working Papers 1303, Ben-Gurion University of the Negev, Department of Economics.
  8. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-Pay Auction," Working Papers 1211, University of Guelph, Department of Economics and Finance.
  9. Ezra Einy & Ori Haimanko & Diego Moreno & A. Sela & Benyamin Shitovitz, 2013. "Tullock contests with asymmetric information," Economics Working Papers we1314, Universidad Carlos III, Departamento de Economía.
  10. Matros, Alexander, 2012. "Sad-Loser contests," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 155-162.
  11. Amegashie, J. Atsu, 2012. "A nested contest: Tullock meets the All-Pay Auction," MPRA Paper 41654, University Library of Munich, Germany, revised 03 Sep 2012.

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