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Evolutionary equilibrium in contests with stochastic participation: Entry, effort and overdissipation

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  • Gu, Yiquan
  • Hehenkamp, Burkhard
  • Leininger, Wolfgang

Abstract

This paper examines the evolutionary stability of behaviour in contests where players’ participation can be stochastic. We find, for exogenously given participation probabilities, players exert more effort under the concept of a finite-population evolutionarily stable strategy (FPESS) than under Nash equilibrium (NE). We show that there is ex-ante overdissipation under FPESS for sufficiently large participation probabilities, if, and only if, the impact function is convex. With costly endogenous entry, players enter the contest with a higher probability and exert more effort under FPESS than under NE. Importantly, under endogenous entry, overdissipation can occur for all (Tullock) contest success functions, in particular those with concave impact functions.

Suggested Citation

  • Gu, Yiquan & Hehenkamp, Burkhard & Leininger, Wolfgang, 2019. "Evolutionary equilibrium in contests with stochastic participation: Entry, effort and overdissipation," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 469-485.
    • Handle: RePEc:eee:jeborg:v:164:y:2019:i:c:p:469-485
    DOI: 10.1016/j.jebo.2019.06.011
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    1. Kai A. Konrad & Florian Morath, 2016. "Evolutionary determinants of war," Defence and Peace Economics, Taylor & Francis Journals, vol. 27(4), pages 520-534, August.
    2. Lugovskyy, Volodymyr & Puzzello, Daniela & Tucker, Steven, 2010. "An experimental investigation of overdissipation in the all pay auction," European Economic Review, Elsevier, vol. 54(8), pages 974-997, November.
    3. John Morgan & Henrik Orzen & Martin Sefton, 2012. "Endogenous entry in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 435-463, October.
    4. Leininger, Wolfgang & Moghadam, Hamed Markazi, 2018. "Asymmetric oligopoly and evolutionary stability," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 1-9.
    5. Hehenkamp, Burkhard & Possajennikov, Alex & Guse, Tobias, 2010. "On the equivalence of Nash and evolutionary equilibrium in finite populations," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 254-258, February.
    6. Wolfgang Leininger, 2009. "Evolutionarily stable preferences in contests," Public Choice, Springer, vol. 140(3), pages 341-356, September.
    7. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    8. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    9. Ania, Ana B., 2008. "Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 472-488, March.
    10. Roman M. Sheremeta, 2016. "Impulsive Behavior in Competition: Testing Theories of Overbidding in Rent-Seeking Contests," Working Papers 16-21, Chapman University, Economic Science Institute.
    11. Benedikt Herrmann & Henrik Orzen, 2008. "The appearance of homo rivalis: Social preferences and the nature of rent seeking," Discussion Papers 2008-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    12. Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, July.
    13. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    14. Davis, Douglas D & Reilly, Robert J, 1998. "Do Too Many Cooks Always Spoil the Stew? An Experimental Analysis of Rent-Seeking and the Role of a Strategic Buyer," Public Choice, Springer, vol. 95(1-2), pages 89-115, April.
    15. Klaus Abbink & Jordi Brandts & Benedikt Herrmann & Henrik Orzen, 2010. "Intergroup Conflict and Intra-group Punishment in an Experimental Contest Game," American Economic Review, American Economic Association, vol. 100(1), pages 420-447, March.
    16. Hehenkamp, B. & Leininger, W. & Possajennikov, A., 2004. "Evolutionary equilibrium in Tullock contests: spite and overdissipation," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1045-1057, November.
    17. Chowdhury, Subhasish M. & Sheremeta, Roman M. & Turocy, Theodore L., 2014. "Overbidding and overspreading in rent-seeking experiments: Cost structure and prize allocation rules," Games and Economic Behavior, Elsevier, vol. 87(C), pages 224-238.
    18. Krueger, Anne O, 1974. "The Political Economy of the Rent-Seeking Society," American Economic Review, American Economic Association, vol. 64(3), pages 291-303, June.
    19. Fischbacher, Urs & Thöni, Christian, 2008. "Excess entry in an experimental winner-take-all market," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 150-163, July.
    20. Gneezy, Uri & Smorodinsky, Rann, 2006. "All-pay auctions--an experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 61(2), pages 255-275, October.
    21. Qiang Fu & Qian Jiao & Jingfeng Lu, 2015. "Contests with endogenous entry," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 387-424, May.
    22. Roger D. Congleton & Arye L. Hillman (ed.), 2015. "Companion to the Political Economy of Rent Seeking," Books, Edward Elgar Publishing, number 15325.
    23. Richard A. Posner, 1975. "The Social Costs of Monopoly and Regulation," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 45-65, Springer.
    24. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    25. Schaffer, Mark E., 1989. "Are profit-maximisers the best survivors? : A Darwinian model of economic natural selection," Journal of Economic Behavior & Organization, Elsevier, vol. 12(1), pages 29-45, August.
    26. Wolfgang Leininger, 2003. "On evolutionarily stable behavior in contests," Economics of Governance, Springer, vol. 4(3), pages 177-186, November.
    27. Qiang Fu & Qian Jiao & Jingfeng Lu, 2011. "On disclosure policy in contests with stochastic entry," Public Choice, Springer, vol. 148(3), pages 419-434, September.
    28. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58(3), pages 211-211.
    29. Roger Myerson & Karl Wärneryd, 2006. "Population uncertainty in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 469-474, January.
    30. Easterlin, Richard A., 1974. "Does Economic Growth Improve the Human Lot? Some Empirical Evidence," MPRA Paper 111773, University Library of Munich, Germany.
    31. Yasuhito Tanaka, 1999. "Long run equilibria in an asymmetric oligopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 705-715.
    32. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1999. "The Incidence of Overdissipation in Rent-Seeking Contests," Public Choice, Springer, vol. 99(3-4), pages 439-454, June.
    33. Edward Millner & Michael Pratt, 1989. "An experimental investigation of efficient rent-seeking," Public Choice, Springer, vol. 62(2), pages 139-151, August.
    34. Lim, Wooyoung & Matros, Alexander, 2009. "Contests with a stochastic number of players," Games and Economic Behavior, Elsevier, vol. 67(2), pages 584-597, November.
    35. repec:elg:eechap:15325_14 is not listed on IDEAS
    36. Qiang Fu & Jingfeng Lu, 2010. "Contest Design And Optimal Endogenous Entry," Economic Inquiry, Western Economic Association International, vol. 48(1), pages 80-88, January.
    37. Anderson, Lisa R & Stafford, Sarah L, 2003. "An Experimental Analysis of Rent Seeking under Varying Competitive Conditions," Public Choice, Springer, vol. 115(1-2), pages 199-216, April.
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    Cited by:

    1. Boris Ginzburg, 2021. "Optimal Price Of Entry Into A Competition," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 280-286, January.
    2. Leininger, Wolfgang, 2019. "Is it really overdissipation? A reassessment of evolutionarily stable behavior in contests," Ruhr Economic Papers 809, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

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    More about this item

    Keywords

    Contests with stochastic participation; Overdissipation; Evolutionarily stable strategy; Finite population; Endogenous entry;
    All these keywords.

    JEL classification:

    • B52 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Historical; Institutional; Evolutionary; Modern Monetary Theory;
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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