IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v153y2025icp268-293.html

From monopoly to competition: When do optimal contests prevail?

Author

Listed:
  • Deng, Xiaotie
  • Gafni, Yotam
  • Lavi, Ron
  • Lin, Tao
  • Ling, Hongyi

Abstract

We study competition among multiple contest designers in a general model. The goal of each contest designer is to maximize the sum of efforts of the contestants participating in their contest. Assuming symmetric contestants, our main result shows that the optimal contests in the monopolistic setting (i.e., those that maximize the sum of efforts in a model with a single contest designer) form an equilibrium in the model with competition. Under a very natural assumption, these contests are dominant, and the equilibrium that they form is unique. Moreover, the equilibria with the optimal contests are Pareto-optimal even when other equilibria emerge. In many natural cases, they also maximize the social welfare. Additional examples show that, with further generalizations of our model, optimal contests no longer prevail. Our results therefore highlight and clarify the borderline between settings in which optimal contests prevail and do not prevail.

Suggested Citation

  • Deng, Xiaotie & Gafni, Yotam & Lavi, Ron & Lin, Tao & Ling, Hongyi, 2025. "From monopoly to competition: When do optimal contests prevail?," Games and Economic Behavior, Elsevier, vol. 153(C), pages 268-293.
  • Handle: RePEc:eee:gamebe:v:153:y:2025:i:c:p:268-293
    DOI: 10.1016/j.geb.2025.07.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825625000946
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2025.07.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    2. Lim, Wooyoung & Matros, Alexander, 2009. "Contests with a stochastic number of players," Games and Economic Behavior, Elsevier, vol. 67(2), pages 584-597, November.
    3. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    4. Benoît Julien & John Kennes & Ian King, 2002. "Auctions Beat Posted Prices in a Small Market," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 158(4), pages 548-562, December.
    5. Barut, Yasar & Kovenock, Dan, 1998. "The symmetric multiple prize all-pay auction with complete information," European Journal of Political Economy, Elsevier, vol. 14(4), pages 627-644, November.
    6. Paul Schweinzer & Ella Segev, 2012. "The optimal prize structure of symmetric Tullock contests," Public Choice, Springer, vol. 153(1), pages 69-82, October.
    7. Nti, Kofi O, 1997. "Comparative Statics of Contests and Rent-Seeking Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 43-59, February.
    8. Ryvkin, Dmitry & Drugov, Mikhail, 2020. "The shape of luck and competition in winner-take-all tournaments," Theoretical Economics, Econometric Society, vol. 15(4), November.
    9. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    10. Clark, Derek J. & Riis, Christian, 1998. "Influence and the discretionary allocation of several prizes," European Journal of Political Economy, Elsevier, vol. 14(4), pages 605-625, November.
    11. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    12. Laurence Ales & Soo-Haeng Cho & Ersin Körpeoğlu, 2017. "Optimal Award Scheme in Innovation Tournaments," Operations Research, INFORMS, vol. 65(3), pages 693-702, June.
    13. Manolis Galenianos & Philipp Kircher & Gábor Virág, 2011. "Market Power And Efficiency In A Search Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 85-103, February.
    14. Robert Michaels, 1988. "The design of rent-seeking competitions," Public Choice, Springer, vol. 56(1), pages 17-29, January.
    15. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    16. Steven J. Brams & Mehmet S. Ismail, 2021. "Fairer Chess: A Reversal of Two Opening Moves in Chess Creates Balance Between White and Black," Papers 2108.02547, arXiv.org, revised Aug 2021.
    17. Michael Peters, 2001. "Surplus Extraction and Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 613-631.
    18. Michael Peters, 1997. "A Competitive Distribution of Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 97-123.
    19. 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.
    20. Leonid Polishchuk & Alexander Tonis, 2013. "Endogenous contest success functions: a mechanism design approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 271-297, January.
    21. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
    22. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    23. Burguet, Roberto & Sakovics, Jozsef, 1999. "Imperfect Competition in Auction Designs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 231-247, February.
    24. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
    25. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "Tournament rewards and heavy tails," Journal of Economic Theory, Elsevier, vol. 190(C).
    26. Christian Terwiesch & Yi Xu, 2008. "Innovation Contests, Open Innovation, and Multiagent Problem Solving," Management Science, INFORMS, vol. 54(9), pages 1529-1543, September.
    27. Wang Zhewei, 2010. "The Optimal Accuracy Level in Asymmetric Contests," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-18, April.
    28. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Public Choice, Springer, vol. 63(2), pages 101-112, November.
    29. Segev, Ella, 2020. "Crowdsourcing contests," European Journal of Operational Research, Elsevier, vol. 281(2), pages 241-255.
    30. Ghazala Azmat & Marc Möller, 2009. "Competition among contests," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 743-768, December.
    31. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    32. 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.
    33. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    34. Chawla, Shuchi & Hartline, Jason D. & Sivan, Balasubramanian, 2019. "Optimal crowdsourcing contests," Games and Economic Behavior, Elsevier, vol. 113(C), pages 80-96.
    35. Ajay Kalra & Mengze Shi, 2001. "Designing Optimal Sales Contests: A Theoretical Perspective," Marketing Science, INFORMS, vol. 20(2), pages 170-193, December.
    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. Xiaotie Deng & Yotam Gafni & Ron Lavi & Tao Lin & Hongyi Ling, 2021. "From Monopoly to Competition: Optimal Contests Prevail," Papers 2107.13363, arXiv.org.
    2. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    3. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    4. Ghazala Azmat & Marc Möller, 2009. "Competition among contests," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 743-768, December.
    5. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "Tournament rewards and heavy tails," Journal of Economic Theory, Elsevier, vol. 190(C).
    6. Fu, Qiang & Wang, Xiruo & Wu, Zenan, 2021. "Multi-prize contests with risk-averse players," Games and Economic Behavior, Elsevier, vol. 129(C), pages 513-535.
    7. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2023. "On equilibrium uniqueness in generalized multi-prize nested lottery contests," Games and Economic Behavior, Elsevier, vol. 139(C), pages 180-199.
    8. Feng, Xin & Lu, Jingfeng, 2018. "How to split the pie: Optimal rewards in dynamic multi-battle competitions," Journal of Public Economics, Elsevier, vol. 160(C), pages 82-95.
    9. Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
    10. 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.
    11. Luke Boosey & Philip Brookins & Dmitry Ryvkin, 2020. "Information Disclosure in Contests with Endogenous Entry: An Experiment," Management Science, INFORMS, vol. 66(11), pages 5128-5150, November.
    12. Liu, Bin & Lu, Jingfeng, 2023. "Optimal orchestration of rewards and punishments in rank-order contests," Journal of Economic Theory, Elsevier, vol. 208(C).
    13. Lester, Benjamin & Visschers, Ludo & Wolthoff, Ronald, 2015. "Dynamic Relational Contracts under Complete Information," SIRE Discussion Papers 2015-51, Scottish Institute for Research in Economics (SIRE).
    14. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2022. "On equilibrium existence in generalized multi-prize nested lottery contests," Journal of Economic Theory, Elsevier, vol. 200(C).
    15. Liqun Liu & Nicolas Treich, 2021. "Optimality of winner-take-all contests: the role of attitudes toward risk," Journal of Risk and Uncertainty, Springer, vol. 63(1), pages 1-25, August.
    16. Lester, Benjamin & Visschers, Ludo & Wolthoff, Ronald, 2017. "Competing with asking prices," Theoretical Economics, Econometric Society, vol. 12(2), May.
    17. Forand, Jean Guillaume, 2013. "Competing through information provision," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 438-451.
    18. Bo Chen & Emilios Galariotis & Lijun Ma & Zijia Wang & Zhaobo Zhu, 2023. "On disclosure of participation in innovation contests: a dominance result," Annals of Operations Research, Springer, vol. 328(2), pages 1615-1629, September.
    19. Mikhail Drugov & Dmitry Ryvkin, 2025. "Hunting for the discouragement effect in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 29(3), pages 387-413, September.
    20. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "How noise affects effort in tournaments," Journal of Economic Theory, Elsevier, vol. 188(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:gamebe:v:153:y:2025:i:c:p:268-293. See general information about how to correct material in RePEc.

    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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.