IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v141y2023icp30-51.html
   My bibliography  Save this article

Optimal and fair prizing in sequential round-robin tournaments: Experimental evidence

Author

Listed:
  • Lauber, Arne
  • March, Christoph
  • Sahm, Marco

Abstract

We experimentally investigate how the prize structure affects the intensity, fairness, and dynamic behavior in sequential round-robin tournaments with three players. We compare tournaments with a second prize equal to either 0%, 50%, or 100% of the first prize. While theory predicts the 50%-treatment to be most intense, we find that aggregate effort is highest in the 0%-treatment. In contrast, our evidence supports the predictions that the 50%-treatment is fairest (though not perfectly fair), whereas the late mover is advantaged in the 100%-treatment and disadvantaged in the 0%-treatment. Also in line with the theory, we identify a strategic (reverse) momentum: after winning the first match, a player increases (decreases) effort in the second match of the 0%-treatment (100%-treatment). Additional findings suggest that dynamic behavior is also subject to a psychological momentum.

Suggested Citation

  • Lauber, Arne & March, Christoph & Sahm, Marco, 2023. "Optimal and fair prizing in sequential round-robin tournaments: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 141(C), pages 30-51.
  • Handle: RePEc:eee:gamebe:v:141:y:2023:i:c:p:30-51
    DOI: 10.1016/j.geb.2023.05.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825623000751
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2023.05.011?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. Dana Sisak, 2009. "Multiple‐Prize Contests – The Optimal Allocation Of Prizes," Journal of Economic Surveys, Wiley Blackwell, vol. 23(1), pages 82-114, February.
    2. Oechssler, Jörg & Roider, Andreas & Schmitz, Patrick W., 2009. "Cognitive abilities and behavioral biases," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 147-152, October.
    3. Hoppe, Eva I. & Kusterer, David J., 2011. "Behavioral biases and cognitive reflection," Economics Letters, Elsevier, vol. 110(2), pages 97-100, February.
    4. Cohen, Chen & Sela, Aner, 2008. "Allocation of prizes in asymmetric all-pay auctions," European Journal of Political Economy, Elsevier, vol. 24(1), pages 123-132, March.
    5. Eriksson, Tor & Poulsen, Anders & Villeval, Marie Claire, 2009. "Feedback and incentives: Experimental evidence," Labour Economics, Elsevier, vol. 16(6), pages 679-688, December.
    6. 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.
    7. Aner Sela, 2012. "Sequential two-prize contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 383-395, October.
    8. Aner Sela & Oz Tsahi, 2020. "On the optimal allocation of prizes in best-of-three all-pay auctions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 255-273, August.
    9. Gelder, Alan, 2014. "From Custer to Thermopylae: Last stand behavior in multi-stage contests," Games and Economic Behavior, Elsevier, vol. 87(C), pages 442-466.
    10. Clark, Derek J. & Nilssen, Tore, 2020. "Creating balance in dynamic competitions," International Journal of Industrial Organization, Elsevier, vol. 69(C).
    11. Romain Gauriot & Lionel Page, 2019. "Does Success Breed Success? a Quasi-Experiment on Strategic Momentum in Dynamic Contests," The Economic Journal, Royal Economic Society, vol. 129(624), pages 3107-3136.
    12. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    13. Richard B. Freeman & Alexander M. Gelber, 2010. "Prize Structure and Information in Tournaments: Experimental Evidence," American Economic Journal: Applied Economics, American Economic Association, vol. 2(1), pages 149-164, January.
    14. Roman M. Sheremeta, 2011. "Contest Design: An Experimental Investigation," Economic Inquiry, Western Economic Association International, vol. 49(2), pages 573-590, April.
    15. Morgulev, Elia & Azar, Ofer H. & Bar-Eli, Michael, 2019. "Does a “comeback” create momentum in overtime? Analysis of NBA tied games," Journal of Economic Psychology, Elsevier, vol. 75(PB).
    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. Camelia M. Kuhnen & Agnieszka Tymula, 2012. "Feedback, Self-Esteem, and Performance in Organizations," Management Science, INFORMS, vol. 58(1), pages 94-113, January.
    18. Gelder, Alan & Kovenock, Dan, 2017. "Dynamic behavior and player types in majoritarian multi-battle contests," Games and Economic Behavior, Elsevier, vol. 104(C), pages 444-455.
    19. Christopher Ferrall & Anthony A. Smith, 1999. "A Sequential Game Model Of Sports Championship Series: Theory And Estimation," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 704-719, November.
    20. 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.
    21. Roman M. Sheremeta, 2013. "Overbidding And Heterogeneous Behavior In Contest Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 491-514, July.
    22. Dmitry Dagaev & Andrey Zubanov, 2022. "Round-robin tournaments with limited resources," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 525-583, October.
    23. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    24. Alex Krumer & Reut Megidish & Aner Sela, 2017. "First-mover advantage in round-robin tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 633-658, March.
    25. Freeman, Richard Barry & Gelber, Alexander M., 2010. "Prize Structure and Information in Tournaments: Experimental Evidence," Scholarly Articles 34310817, Harvard University Department of Economics.
    26. Pablo Casas-Arce & F. Asís Martínez-Jerez, 2009. "Relative Performance Compensation, Contests, and Dynamic Incentives," Management Science, INFORMS, vol. 55(8), pages 1306-1320, August.
    27. 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.
    28. Derek J. Clark & Tore Nilssen, 2021. "Competitive balance when winning breeds winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 363-384, February.
    29. Oechssler, Jörg & Roider, Andreas & Schmitz, Patrick W., 2009. "Cognitive Abilities and Behavioral Biases," Working Papers 0465, University of Heidelberg, Department of Economics.
    30. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-289, March.
    31. David A. Malueg & Andrew J. Yates, 2010. "Testing Contest Theory: Evidence from Best-of-Three Tennis Matches," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 689-692, August.
    32. Tong, Kwok-kit & Leung, Kwok, 2002. "Tournament as a motivational strategy: Extension to dynamic situations with uncertain duration," Journal of Economic Psychology, Elsevier, vol. 23(3), pages 399-420, June.
    33. Meier, Philippe & Flepp, Raphael & Ruedisser, Maximilian & Franck, Egon, 2020. "Separating psychological momentum from strategic momentum: Evidence from men’s professional tennis," Journal of Economic Psychology, Elsevier, vol. 78(C).
    34. Laica, Christoph & Lauber, Arne & Sahm, Marco, 2021. "Sequential round-robin tournaments with multiple prizes," Games and Economic Behavior, Elsevier, vol. 129(C), pages 421-448.
    35. Dawei Fang & Thomas Noe & Philipp Strack, 2020. "Turning Up the Heat: The Discouraging Effect of Competition in Contests," Journal of Political Economy, University of Chicago Press, vol. 128(5), pages 1940-1975.
    36. Marco Sahm, 2019. "Are sequential round‐robin tournaments discriminatory?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(1), pages 44-61, February.
    37. Cohen-Zada, Danny & Krumer, Alex & Shtudiner, Ze'ev, 2017. "Psychological momentum and gender," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 66-81.
    38. Gauriot, Romain & Page, Lionel, 2018. "Psychological momentum in contests: The case of scoring before half-time in football," Journal of Economic Behavior & Organization, Elsevier, vol. 149(C), pages 137-168.
    39. 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. Arne Lauber & Christoph March & Marco Sahm, 2022. "Optimal and Fair Prizing in Sequential Round-Robin Tournaments: Experimental Evidence," CESifo Working Paper Series 9651, CESifo.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Meier, Philippe & Flepp, Raphael & Ruedisser, Maximilian & Franck, Egon, 2020. "Separating psychological momentum from strategic momentum: Evidence from men’s professional tennis," Journal of Economic Psychology, Elsevier, vol. 78(C).
    7. Lackner, Mario & Weichselbaumer, Michael, 2023. "Can barely winning lead to losing? Gender and past performance," Journal of Economic Behavior & Organization, Elsevier, vol. 208(C), pages 258-274.
    8. 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.
    9. Klein, Arnd Heinrich & Schmutzler, Armin, 2021. "Incentives and motivation in dynamic contests," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 194-216.
    10. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    11. Craig A. Depken II & John M. Gandar & Dmitry A. Shapiro, 2022. "Set-level Strategic and Psychological Momentum in Best-of-three-set Professional Tennis Matches," Journal of Sports Economics, , vol. 23(5), pages 598-623, June.
    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. Fu, Qiang & Ke, Changxia & Tan, Fangfang, 2015. "“Success breeds success” or “Pride goes before a fall”?," Games and Economic Behavior, Elsevier, vol. 94(C), pages 57-79.
    14. Shakun D. Mago & Roman M. Sheremeta, 2019. "New Hampshire Effect: behavior in sequential and simultaneous multi-battle contests," Experimental Economics, Springer;Economic Science Association, vol. 22(2), pages 325-349, June.
    15. Morgulev, Elia, 2023. "Streakiness is not a theory: On “momentums” (hot hands) and their underlying mechanisms," Journal of Economic Psychology, Elsevier, vol. 96(C).
    16. 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).
    17. 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.
    18. Haoming Liu & Jingfeng Lu & Alberto Salvo, 2023. "Willingness to fight on: Environmental quality in dynamic contests," RAND Journal of Economics, RAND Corporation, vol. 54(2), pages 189-239, June.
    19. Dong, Lu & Huang, Lingbo, 2019. "Is there no ‘I’ in team? Strategic effects in multi-battle team competition," Journal of Economic Psychology, Elsevier, vol. 75(PB).
    20. Gelder, Alan & Kovenock, Dan, 2017. "Dynamic behavior and player types in majoritarian multi-battle contests," Games and Economic Behavior, Elsevier, vol. 104(C), pages 444-455.

    More about this item

    Keywords

    Sequential round-robin tournament; All-pay auction; Fairness; Intensity; Strategic momentum; Experiment;
    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
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • Z20 - Other Special Topics - - Sports Economics - - - General

    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:141:y:2023:i:c:p:30-51. 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.