IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v229y2025ics0167268124004220.html
   My bibliography  Save this article

Sequential contests with incomplete information: Theory and experimental evidence

Author

Listed:
  • Brookins, Philip
  • Matros, Alexander
  • Tzachrista, Foteini

Abstract

We investigate behavior in two-player sequential-move contests with complete and incomplete information about the value of the prize. First, we describe a Bayesian equilibrium in which both players have private prize values. Then, we test our predictions in the experimental laboratory. We analyze three settings: symmetric prize valuations with complete information, asymmetric prize valuations with complete information, and asymmetric prize valuations with incomplete information. We find that subjects’ behavior is less consistent with theory and more in line with simple mental shortcuts. Our data supports a simple investment heuristic for each player type. On average, first-movers invest half of their own valuation and second-movers, regardless of their prize valuation, invest frequently in one of the following ways: drop out of the contest or invest at or just above the first-movers’ investment. We add to the growing literature by showing that experimental contest data can be better explained by simple heuristics.

Suggested Citation

  • Brookins, Philip & Matros, Alexander & Tzachrista, Foteini, 2025. "Sequential contests with incomplete information: Theory and experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 229(C).
  • Handle: RePEc:eee:jeborg:v:229:y:2025:i:c:s0167268124004220
    DOI: 10.1016/j.jebo.2024.106808
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167268124004220
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jebo.2024.106808?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Philip Brookins & Dmitry Ryvkin, 2014. "An experimental study of bidding in contests of incomplete information," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 245-261, June.
    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. Drew Fudenberg & David K. Levine & Zacharias Maniadis, 2012. "On the Robustness of Anchoring Effects in WTP and WTA Experiments," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 131-145, May.
    4. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    5. Matthias Sutter & Martin G. Kocher & Daniela Glätzle-Rützler & Stefan T. Trautmann, 2013. "Impatience and Uncertainty: Experimental Decisions Predict Adolescents' Field Behavior," American Economic Review, American Economic Association, vol. 103(1), pages 510-531, February.
    6. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde & Jürgen Schupp & Gert G. Wagner, 2011. "Individual Risk Attitudes: Measurement, Determinants, And Behavioral Consequences," Journal of the European Economic Association, European Economic Association, vol. 9(3), pages 522-550, June.
    7. Francesco Fallucchi & Jan Niederreiter & Massimo Riccaboni, 2021. "Learning and dropout in contests: an experimental approach," Theory and Decision, Springer, vol. 90(2), pages 245-278, March.
    8. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    9. Florian Ederer, 2010. "Feedback and Motivation in Dynamic Tournaments," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(3), pages 733-769, September.
    10. Selten, Reinhard & Stoecker, Rolf, 1986. "End behavior in sequences of finite Prisoner's Dilemma supergames A learning theory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 47-70, March.
    11. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    12. 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.
    13. Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, July.
    14. 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.
    15. Aoyagi, Masaki, 2010. "Information feedback in a dynamic tournament," Games and Economic Behavior, Elsevier, vol. 70(2), pages 242-260, November.
    16. Linster, Bruce G, 1993. "Stackelberg Rent-Seeking," Public Choice, Springer, vol. 77(2), pages 307-321, October.
    17. Hinnosaar, Toomas, 2024. "Optimal sequential contests," Theoretical Economics, Econometric Society, vol. 19(1), January.
    18. Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-890, September.
    19. R. Andrew Luccasen, 2012. "Anchoring Effects and Participant Numbers: Evidence from a Public Good Game," Social Science Quarterly, Southwestern Social Science Association, vol. 93(3), pages 858-865, September.
    20. Seel, Christian & Strack, Philipp, 2013. "Gambling in contests," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2033-2048.
    21. 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.
    22. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    23. Dan Ariely & George Loewenstein & Drazen Prelec, 2003. ""Coherent Arbitrariness": Stable Demand Curves Without Stable Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(1), pages 73-106.
    24. Nelson, Arthur B, 2020. "Deterrence in sequential contests: An experimental study," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 86(C).
    25. Roman M. Sheremeta, 2011. "Contest Design: An Experimental Investigation," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 573-590, April.
    26. 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.
    27. Kai A. Konrad & Dan Kovenock, 2010. "Contests With Stochastic Abilities," Economic Inquiry, Western Economic Association International, vol. 48(1), pages 89-103, January.
    28. Brookins, Philip & Lightle, John P. & Ryvkin, Dmitry, 2015. "An experimental study of sorting in group contests," Labour Economics, Elsevier, vol. 35(C), pages 16-25.
    29. Stefan Szymanski, 2010. "The Economic Design of Sporting Contests," Palgrave Macmillan Books, in: The Comparative Economics of Sport, chapter 1, pages 1-78, Palgrave Macmillan.
    30. Weimann, Joachim & Yang, Chun-Lei & Vogt, Carsten, 2000. "An experiment on sequential rent-seeking," Journal of Economic Behavior & Organization, Elsevier, vol. 41(4), pages 405-426, April.
    31. Bergman, Oscar & Ellingsen, Tore & Johannesson, Magnus & Svensson, Cicek, 2010. "Anchoring and cognitive ability," Economics Letters, Elsevier, vol. 107(1), pages 66-68, April.
    32. Qiang Fu & Jingfeng Lu, 2012. "The optimal multi-stage contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 351-382, October.
    33. Marco Serena, 2017. "Sequential contests revisited," Public Choice, Springer, vol. 173(1), pages 131-144, October.
    34. Pamela Schmitt & Robert Shupp & Kurtis Swope & John Cadigan, 2004. "Multi-period rent-seeking contests with carryover: Theory and experimental evidence," Economics of Governance, Springer, vol. 5(3), pages 187-211, November.
    35. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    36. Kahana, Nava & Klunover, Doron, 2018. "Sequential lottery contests with multiple participants," Economics Letters, Elsevier, vol. 163(C), pages 126-129.
    37. Brookins, Philip & Lightle, John P. & Ryvkin, Dmitry, 2018. "Sorting and communication in weak-link group contests," Journal of Economic Behavior & Organization, Elsevier, vol. 152(C), pages 64-80.
    38. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, Decembrie.
    39. Cortney S. Rodet & Andrew Smyth, 2020. "Competitive blind spots and the cyclicality of investment: Experimental evidence," Southern Economic Journal, John Wiley & Sons, vol. 87(1), pages 274-315, July.
    40. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.
    41. Christian Terwiesch & Yi Xu, 2008. "Innovation Contests, Open Innovation, and Multiagent Problem Solving," Management Science, INFORMS, vol. 54(9), pages 1529-1543, September.
    42. 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.
    43. 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.
    44. Brit Grosskopf, 2003. "Reinforcement and Directional Learning in the Ultimatum Game with Responder Competition," Experimental Economics, Springer;Economic Science Association, vol. 6(2), pages 141-158, October.
    45. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    46. Leininger, Wolfgang, 1993. "More Efficient Rent-Seeking--A Munchhausen Solution," Public Choice, Springer, vol. 75(1), pages 43-62, January.
    47. Fonseca, Miguel A., 2009. "An experimental investigation of asymmetric contests," International Journal of Industrial Organization, Elsevier, vol. 27(5), pages 582-591, September.
    48. Deng, Shanglyu & Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2024. "Contests with sequential entry and incomplete information," Theoretical Economics, Econometric Society, vol. 19(2), May.
    49. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    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. 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.
    2. Philip Brookins & Dmitry Ryvkin, 2014. "An experimental study of bidding in contests of incomplete information," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 245-261, June.
    3. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.
    4. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2017. "Contests with group size uncertainty: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 105(C), pages 212-229.
    5. Nelson, Arthur B, 2020. "Deterrence in sequential contests: An experimental study," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 86(C).
    6. Francesco Fallucchi & Jan Niederreiter & Massimo Riccaboni, 2021. "Learning and dropout in contests: an experimental approach," Theory and Decision, Springer, vol. 90(2), pages 245-278, March.
    7. 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).
    8. Dutcher, E. Glenn & Balafoutas, Loukas & Lindner, Florian & Ryvkin, Dmitry & Sutter, Matthias, 2015. "Strive to be first or avoid being last: An experiment on relative performance incentives," Games and Economic Behavior, Elsevier, vol. 94(C), pages 39-56.
    9. Emmanuel Dechenaux & Shakun D. Mago, 2023. "Contests with revisions," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 915-954, September.
    10. 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.
    11. Cason, Timothy N. & Masters, William A. & Sheremeta, Roman M., 2020. "Winner-take-all and proportional-prize contests: Theory and experimental results," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 314-327.
    12. Zeynep B. Irfanoglu & Shakun D. Mago & Roman M. Sheremeta, 2014. "The New Hampshire Effect: Behavior in Sequential and Simultaneous Election Contests," Working Papers 14-15, Chapman University, Economic Science Institute.
    13. Roman Sheremeta, 2018. "Experimental Research on Contests," Working Papers 18-07, Chapman University, Economic Science Institute.
    14. 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.
    15. 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.
    16. 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.
    17. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.
    18. 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.
    19. Hoffmann, Magnus & Kolmar, Martin, 2017. "Distributional preferences in probabilistic and share contests," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 120-139.
    20. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.

    More about this item

    Keywords

    Contest; Sequential moves; Heterogeneity; Incomplete information; Investment heuristic;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C99 - Mathematical and Quantitative Methods - - Design of Experiments - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    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:jeborg:v:229:y:2025:i:c:s0167268124004220. 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/jebo .

    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.