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Winner-Take-All and Proportional-Prize Contests: Theory and Experimental Results

Author

Listed:
  • Roman M. Sheremeta

    (Argyros School of Business and Economics, Chapman University)

  • William A. Masters

    (Department of Food and Nutrition Policy, Tufts University)

  • Timothy N. Cason

    (Department of Economics, Krannert School of Management, Purdue University)

Abstract

This study provides a unified theoretical and experimental framework in which to compare three canonical types of competition: winner-take-all contests won by the best performer, winner-take-all lotteries where probability of success is proportional to performance, and proportional-prize contests in which rewards are shared in proportion to performance. We introduce random noise to reflect imperfect information, and collect independent measures of risk aversion, other-regarding preferences, and the utility of winning a contest. The main finding is that efforts are consistently higher with winner-take-all contests. The lottery contests have the same Nash equilibrium as proportional prizes, but induce contestants to choose higher efforts and receive lower, more unequal payoffs. This result may explain why contest designers who seek only to elicit effort offer lump-sum prizes, even though contestants would be better off with proportional rewards.

Suggested Citation

  • Roman M. Sheremeta & William A. Masters & Timothy N. Cason, 2012. "Winner-Take-All and Proportional-Prize Contests: Theory and Experimental Results," Working Papers 12-04, Chapman University, Economic Science Institute.
    • Handle: RePEc:chu:wpaper:12-04
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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
    3. Fallucchi, Francesco & Renner, Elke & Sefton, Martin, 2013. "Information feedback and contest structure in rent-seeking games," European Economic Review, Elsevier, vol. 64(C), pages 223-240.
    4. Jared Rubin & Roman Sheremeta, 2016. "Principal–Agent Settings with Random Shocks," Management Science, INFORMS, vol. 62(4), pages 985-999, April.
    5. Andrew Schotter & Keith Weigelt, 1992. "Asymmetric Tournaments, Equal Opportunity Laws, and Affirmative Action: Some Experimental Results," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 511-539.
    6. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
    7. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    8. Sheremeta, Roman M., 2010. "Experimental comparison of multi-stage and one-stage contests," Games and Economic Behavior, Elsevier, vol. 68(2), pages 731-747, March.
    9. Zheng, Xiaoyong & Vukina, Tomislav, 2007. "Efficiency gains from organizational innovation: Comparing ordinal and cardinal tournament games in broiler contracts," International Journal of Industrial Organization, Elsevier, vol. 25(4), pages 843-859, August.
    10. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    11. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    12. Potters, Jan & de Vries, Casper G. & van Winden, Frans, 1998. "An experimental examination of rational rent-seeking," European Journal of Political Economy, Elsevier, vol. 14(4), pages 783-800, November.
    13. Gill, David & Stone, Rebecca, 2010. "Fairness and desert in tournaments," Games and Economic Behavior, Elsevier, vol. 69(2), pages 346-364, July.
    14. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    15. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    16. Shupp, Robert & Sheremeta, Roman M. & Schmidt, David & Walker, James, 2013. "Resource allocation contests: Experimental evidence," Journal of Economic Psychology, Elsevier, vol. 39(C), pages 257-267.
    17. Tor Eriksson & Sabrina Teyssier & Marie‐Claire Villeval, 2009. "Self‐Selection And The Efficiency Of Tournaments," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 530-548, July.
    18. Mago, Shakun D. & Sheremeta, Roman M. & Yates, Andrew, 2013. "Best-of-three contest experiments: Strategic versus psychological momentum," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 287-296.
    19. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.
    20. 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.
    21. 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.
    22. Kimbrough, Erik O. & Sheremeta, Roman M. & Shields, Timothy W., 2014. "When parity promotes peace: Resolving conflict between asymmetric agents," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 96-108.
    23. Cason, Timothy N. & Sheremeta, Roman M. & Zhang, Jingjing, 2012. "Communication and efficiency in competitive coordination games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 26-43.
    24. Masiliunas, Aidas & Mengel, Friederike & Reiss, J. Philipp, 2014. "Behavioral variation in Tullock contests," Working Paper Series in Economics 55, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    25. Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, July.
    26. Weigelt, Keith & Dukerich, Janet & Schotter, Andrew, 1989. "Reactions to discrimination in an incentive pay compensation scheme: A game-theoretic approach," Organizational Behavior and Human Decision Processes, Elsevier, vol. 44(1), pages 26-44, August.
    27. 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.
    28. Price, Curtis R. & Sheremeta, Roman M., 2011. "Endowment effects in contests," Economics Letters, Elsevier, vol. 111(3), pages 217-219, June.
    29. 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.
    30. O'Keeffe, Mary & Viscusi, W Kip & Zeckhauser, Richard J, 1984. "Economic Contests: Comparative Reward Schemes," Journal of Labor Economics, University of Chicago Press, vol. 2(1), pages 27-56, January.
    31. Roman Sheremeta & Jingjing Zhang, 2010. "Can groups solve the problem of over-bidding in contests?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 175-197, July.
    32. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    33. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    34. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    35. Qiang Fu & Jingfeng Lu, 2012. "Micro foundations of multi-prize lottery contests: a perspective of noisy performance ranking," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 497-517, March.
    36. Christian Grund & Dirk Sliwka, 2005. "Envy and Compassion in Tournaments," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 14(1), pages 187-207, March.
    37. 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.
    38. Llorente-Saguer, Aniol & Sheremeta, Roman M. & Szech, Nora, 2023. "Designing contests between heterogeneous contestants: An experimental study of tie-breaks and bid-caps in all-pay auctions," European Economic Review, Elsevier, vol. 154(C).
    39. 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.
    40. Gerald Eisenkopf & Sabrina Teyssier, 2009. "Horizontal and Vertical Social Preferences in Tournaments," TWI Research Paper Series 48, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    41. John Morgan & Martin Sefton, 2000. "Funding Public Goods with Lotteries: Experimental Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 785-810.
    42. Roman M. Sheremeta, 2011. "Contest Design: An Experimental Investigation," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 573-590, April.
    43. Gradstein, Mark, 1998. "Optimal contest design: volume and timing of rent seeking in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 575-585, November.
    44. Yigal Gerchak & Qi-Ming He, 2003. "When will the Range of Prizes in Tournaments Increase in the Noise or in the Number of Players?," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 151-165.
    45. Roger D. Congleton & Arye L. Hillman (ed.), 2015. "Companion to the Political Economy of Rent Seeking," Books, Edward Elgar Publishing, number 15325.
    46. Cason, Timothy N. & Masters, William A. & Sheremeta, Roman M., 2010. "Entry into winner-take-all and proportional-prize contests: An experimental study," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 604-611, October.
    47. Curtis R. Price & Roman M. Sheremeta, 2015. "Endowment Origin, Demographic Effects, and Individual Preferences in Contests," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 24(3), pages 597-619, September.
    48. Singh, Prakarsh & Masters, William A., 2017. "Impact of caregiver incentives on child health: Evidence from an experiment with Anganwadi workers in India," Journal of Health Economics, Elsevier, vol. 55(C), pages 219-231.
    49. Balafoutas, Loukas & Kerschbamer, Rudolf & Sutter, Matthias, 2012. "Distributional preferences and competitive behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 83(1), pages 125-135.
    50. Bull, Clive & Schotter, Andrew & Weigelt, Keith, 1987. "Tournaments and Piece Rates: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 1-33, February.
    51. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    52. Timothy N. Cason & Roman M. Sheremeta & Jingjing Zhang, 2017. "Asymmetric and endogenous within-group communication in competitive coordination games," Experimental Economics, Springer;Economic Science Association, vol. 20(4), pages 946-972, December.
    53. Jennifer Brown, 2011. "Quitters Never Win: The (Adverse) Incentive Effects of Competing with Superstars," Journal of Political Economy, University of Chicago Press, vol. 119(5), pages 982-1013.
    54. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, Decembrie.
    55. Hillman, Arye L & Katz, Eliakim, 1984. "Risk-Averse Rent Seekers and the Social Cost of Monopoly Power," Economic Journal, Royal Economic Society, vol. 94(373), pages 104-110, March.
    56. Fang, Hanming, 2002. "Lottery versus All-Pay Auction Models of Lobbying," Public Choice, Springer, vol. 112(3-4), pages 351-371, September.
    57. Subhasish Chowdhury & Roman Sheremeta, 2015. "Strategically equivalent contests," Theory and Decision, Springer, vol. 78(4), pages 587-601, April.
    58. Bjorn Bartling & Ernst Fehr & Michel Andre Marechal & Daniel Schunk, 2009. "Egalitarianism and Competitiveness," American Economic Review, American Economic Association, vol. 99(2), pages 93-98, May.
    59. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    60. Gerald Eisenkopf & Sabrina Teyssier, 2010. "Envy and Loss Aversion in Tournaments," TWI Research Paper Series 52, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    61. Christopher Harris & John Vickers, 1985. "Perfect Equilibrium in a Model of a Race," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 193-209.
    62. Eisenkopf, Gerald & Teyssier, Sabrina, 2013. "Envy and loss aversion in tournaments," Journal of Economic Psychology, Elsevier, vol. 34(C), pages 240-255.
    63. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
    64. Long, Ngo Van & Vousden, Neil J, 1987. "Risk-Averse Rent Seeking with Shared Rents," Economic Journal, Royal Economic Society, vol. 97(388), pages 971-985, December.
    65. Edward Millner & Michael Pratt, 1989. "An experimental investigation of efficient rent-seeking," Public Choice, Springer, vol. 62(2), pages 139-151, August.
    66. Shakun D. Mago & Anya C. Samak & Roman M. Sheremeta, 2016. "Facing Your Opponents," Journal of Conflict Resolution, Peace Science Society (International), vol. 60(3), pages 459-481, April.
    67. Harbring, Christine & Irlenbusch, Bernd, 2003. "An experimental study on tournament design," Labour Economics, Elsevier, vol. 10(4), pages 443-464, August.
    68. Fonseca, Miguel A., 2009. "An experimental investigation of asymmetric contests," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 582-591, September.
    69. Llorente-Saguer, Aniol & Sheremeta, Roman & Szech, Nora, 2016. "Designing Contests Between Heterogeneous Contestants: An Experimental Study of Tie-Breaks and Bid-Caps in All-Pay Auctions," MPRA Paper 71202, University Library of Munich, Germany.
    70. Millner, Edward L & Pratt, Michael D, 1991. "Risk Aversion and Rent-Seeking: An Extension and Some Experimental Evidence," Public Choice, Springer, vol. 69(1), pages 81-92, February.
    71. Fudenberg, Drew & Gilbert, Richard & Stiglitz, Joseph & Tirole, Jean, 1983. "Preemption, leapfrogging and competition in patent races," European Economic Review, Elsevier, vol. 22(1), pages 3-31, June.
    72. John Morgan & Henrik Orzen & Martin Sefton & Dana Sisak, 2016. "Strategic and Natural Risk in Entrepreneurship: An Experimental Study," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 420-454, April.
    73. repec:elg:eechap:15325_10 is not listed on IDEAS
    74. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    75. Agranov, Marina & Tergiman, Chloe, 2013. "Incentives and compensation schemes: An experimental study," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 238-247.
    76. 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.
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    More about this item

    Keywords

    contests; rent-seeking; lotteries; incentives in experiments; risk aversion;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • J33 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Compensation Packages; Payment Methods

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