IDEAS home Printed from https://ideas.repec.org/a/eee/eecrev/v173y2025ics001429212500011x.html
   My bibliography  Save this article

Status classification by lottery contests

Author

Listed:
  • Sela, Aner

Abstract

We study the optimal design of status classifications in organizational structures under the assumption that agents in a lottery (Tullock) contest care about their relative position. For each such a contest with any number of status categories that is smaller than or equal to the number of agents, we provide sufficient conditions for the optimal partition, which is the distribution of agents among the status categories that maximizes the agents’ symmetric equilibrium effort. We show that, for any number of status categories, in the optimal partition of status categories, the higher the status category, the more agents are included in it. However, in the optimal partition of status categories, a higher status category may not contain more agents than a lower status category when agents receive monetary rewards in addition to the payoff from their relative position (status).

Suggested Citation

  • Sela, Aner, 2025. "Status classification by lottery contests," European Economic Review, Elsevier, vol. 173(C).
    • Handle: RePEc:eee:eecrev:v:173:y:2025:i:c:s001429212500011x
    DOI: 10.1016/j.euroecorev.2025.104961
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S001429212500011X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.euroecorev.2025.104961?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 look for a different version below or

    for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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, 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.
    3. Andrew E. Clark & Paul Frijters & Michael A. Shields, 2008. "Relative Income, Happiness, and Utility: An Explanation for the Easterlin Paradox and Other Puzzles," Journal of Economic Literature, American Economic Association, vol. 46(1), pages 95-144, March.
    4. Ferenc Szidarovszky & Koji Okuguchi, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 271-276, Springer.
    5. Paul Schweinzer & Ella Segev, 2012. "The optimal prize structure of symmetric Tullock contests," Public Choice, Springer, vol. 153(1), pages 69-82, October.
    6. Nicolas L. Bottan & Ricardo Perez-Truglia, 2022. "Choosing Your Pond: Location Choices and Relative Income," The Review of Economics and Statistics, MIT Press, vol. 104(5), pages 1010-1027, December.
    7. Michael Kosfeld & Susanne Neckermann, 2011. "Getting More Work for Nothing? Symbolic Awards and Worker Performance," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 86-99, August.
    8. Gary Charness & David Masclet & Marie Claire Villeval, 2014. "The Dark Side of Competition for Status," Management Science, INFORMS, vol. 60(1), pages 38-55, January.
    9. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.
    10. Siegel, Ron, 2014. "Asymmetric all-pay auctions with interdependent valuations," Journal of Economic Theory, Elsevier, vol. 153(C), pages 684-702.
    11. Aner Sela, 2020. "Optimal allocations of prizes and punishments in Tullock contests," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 749-771, September.
    12. Robert Akerlof & Richard Holden, 2012. "The nature of tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 289-313, October.
    13. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, April.
    14. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    15. Ed Hopkins & Tatiana Kornienko, 2004. "Running to Keep in the Same Place: Consumer Choice as a Game of Status," American Economic Review, American Economic Association, vol. 94(4), pages 1085-1107, September.
    16. Tran, Anh & Zeckhauser, Richard, 2012. "Rank as an inherent incentive: Evidence from a field experiment," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 645-650.
    17. Benny Moldovanu & Aner Sela & Xianwen Shi, 2007. "Contests for Status," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 338-363.
    18. Erzo F. P. Luttmer, 2005. "Neighbors as Negatives: Relative Earnings and Well-Being," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 963-1002.
    19. Jingfeng Lu & Zhewei Wang & Lixue Zhou, 2023. "Nested Tullock contests with nonmonotone prizes," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 303-332, March.
    20. Subhasish Dugar & Haimanti Bhattacharya & David Reiley, 2012. "Can'T Buy Me Love? A Field Experiment Exploring The Trade‐Off Between Income And Caste‐Status In An Indian Matrimonial Market," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 534-550, April.
    21. Green, Jerry R & Stokey, Nancy L, 1983. "A Comparison of Tournaments and Contracts," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 349-364, June.
    22. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    23. Fershtman, Chaim & Weiss, Yoram, 1993. "Social Status, Culture and Economic Performance," Economic Journal, Royal Economic Society, vol. 103(419), pages 946-959, July.
    24. Rick Harbaugh & Eric Rasmusen, 2018. "Coarse Grades: Informing the Public by Withholding Information," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 210-235, February.
    25. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "Tournament rewards and heavy tails," Journal of Economic Theory, Elsevier, vol. 190(C).
    26. Michael Ostrovsky & Michael Schwarz, 2010. "Information Disclosure and Unraveling in Matching Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 34-63, May.
    27. Emmanuel Farhi & Josh Lerner & Jean Tirole, 2013. "Fear of rejection? Tiered certification and transparency," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 610-631, December.
    28. Catherine C. Eckel & Enrique Fatas & Rick Wilson, 2010. "Cooperation and Status in Organizations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 737-762, August.
    29. 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.
    30. Gary Charness & David Masclet & Marie Claire Villeval, 2014. "The Dark Side of Competition for Status (preprint)," Working Papers halshs-01090241, HAL.
    31. Gary S. Becker & Kevin M. Murphy & Ivan Werning, 2005. "The Equilibrium Distribution of Income and the Market for Status," Journal of Political Economy, University of Chicago Press, vol. 113(2), pages 282-310, April.
    32. Clark, Derek J & Riis, Christian, 1996. "A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-184, April.
    33. Josh Lerner & Jean Tirole, 2006. "A Model of Forum Shopping," American Economic Review, American Economic Association, vol. 96(4), pages 1091-1113, September.
    34. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    35. 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.
    36. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    37. Barry J. Nalebuff & Joseph E. Stiglitz, 1983. "Prices and Incentives: Towards a General Theory of Compensation and Competition," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 21-43, Spring.
    38. Haimanti Bhattacharya & Subhasish Dugar, 2014. "Partnership Formation: The Role of Social Status," Management Science, INFORMS, vol. 60(5), pages 1130-1147, May.
    39. 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.
    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. Aner Sela & Maya Amiad, 2016. "The Optimal Allocation Of Punishments In Tullock Contests," Working Papers 1613, Ben-Gurion University of the Negev, Department of Economics.
    2. Letina, Igor & Liu, Shuo & Netzer, Nick, 2023. "Optimal contest design: Tuning the heat," Journal of Economic Theory, Elsevier, vol. 213(C).
    3. Minchuk, Yizhaq & Sela, Aner, 2014. "All-pay auctions with certain and uncertain prizes," Games and Economic Behavior, Elsevier, vol. 88(C), pages 130-134.
    4. 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.
    5. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.
    6. Aner Sela, 2020. "Optimal allocations of prizes and punishments in Tullock contests," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 749-771, September.
    7. Aner Sela & Ishay Rabi & Chen Cohen, 2024. "Reputation in Contests," Working Papers 2409, Ben-Gurion University of the Negev, Department of Economics.
    8. Bastani, Spencer & Giebe, Thomas & Gürtler, Oliver, 2022. "Simple equilibria in general contests," Games and Economic Behavior, Elsevier, vol. 134(C), pages 264-280.
    9. Alberto Vesperoni & Anıl Yıldızparlak, 2019. "Inequality and conflict outbreak," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 135-173, June.
    10. Aner Sela & Ishay Rabi & Chen Cohen, 2023. "An Algorithmic Analysis of Parallel Contests," Working Papers 2317, Ben-Gurion University of the Negev, Department of Economics.
    11. 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.
    12. Drugov, Mikhail & Ryvkin, Dmitry, 2020. "Tournament rewards and heavy tails," Journal of Economic Theory, Elsevier, vol. 190(C).
    13. Aner Sela, 2025. "Unsolicited prizes in contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 65(1), pages 187-210, August.
    14. Aner Sela, 2024. "Intermediate prizes in multi-dimensional contests," Theory and Decision, Springer, vol. 97(4), pages 721-743, December.
    15. Segev, Ella & Sela, Aner, 2014. "Sequential all-pay auctions with noisy outputs," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 251-261.
    16. Aner Sela, 2022. "Ineffective Prizes In Multi-Dimensional Contests," Working Papers 2205, Ben-Gurion University of the Negev, Department of Economics.
    17. C. Bram Cadsby & Jim Engle-Warnick & Tony Fang & Fei Song, 2014. "Psychological Incentives, Financial Incentives, and Risk Attitudes in Tournaments: An Artefactual Field Experiment," Working Papers 1403, University of Guelph, Department of Economics and Finance.
    18. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, April.
    19. 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.
    20. Noam Cohen & Guy Maor & Aner Sela, 2018. "Two-stage elimination contests with optimal head starts," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 177-192, December.

    More about this item

    Keywords

    ;
    ;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • 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

    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:eecrev:v:173:y:2025:i:c:s001429212500011x. 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/eer .

    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.