IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp10878.html
   My bibliography  Save this paper

Take a Chance on ABBA

Author

Listed:
  • Cohen-Zada, Danny

    (Ben Gurion University)

  • Krumer, Alex

    (University of St. Gallen)

  • Shapir, Offer Moshe

    (New York University Shanghai)

Abstract

The order of actions in contests may generate different psychological effects which, in turn, may influence contestants' probabilities to win. The Prouhet-Thue-Morse sequence in which the first 'n' moves is the exact mirror image of the next 'n' moves should theoretically terminate any advantage to any of the contestants in a sequential pair-wise contest. The tennis tiebreak sequence of serves is the closest to the Prouhet-Thue-Morse sequence that one can find in real tournament settings. In a tiebreak between two players, A and B, the order of the first two serves (AB) is a mirror image of the next two serves (BA), such that the sequence of the first four serves is ABBA. Then, this sequence is repeated until one player wins the tiebreak. This sequence has been used not only in tennis, but also recently in the US TV presidential debates. In this study we analyse 1,701 men's and 920 women's tiebreak games from top-tier tournaments between the years 2012 to 2015. Using several different strategies to disentangle the effect of serving first from the effect of selection, we find that, for both genders, serving first does not have any significant effect on the winning probabilities of the two players, implying that the ABBA sequence is fair. We thus argue that it might be useful for other sports and contests in general to consider adopting the ABBA sequence in order to improve fairness.

Suggested Citation

  • Cohen-Zada, Danny & Krumer, Alex & Shapir, Offer Moshe, 2017. "Take a Chance on ABBA," IZA Discussion Papers 10878, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp10878
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp10878.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Joseph G. Altonji & Todd E. Elder & Christopher R. Taber, 2005. "Selection on Observed and Unobserved Variables: Assessing the Effectiveness of Catholic Schools," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 151-184, February.
    2. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    3. Jose Apesteguia & Ignacio Palacios-Huerta, 2010. "Psychological Pressure in Competitive Environments: Evidence from a Randomized Natural Experiment," American Economic Review, American Economic Association, vol. 100(5), pages 2548-2564, December.
    4. González-Díaz, Julio & Palacios-Huerta, Ignacio, 2016. "Cognitive performance in competitive environments: Evidence from a natural experiment," Journal of Public Economics, Elsevier, vol. 139(C), pages 40-52.
    5. Victor A. Ginsburgh & Jan C. van Ours, 2003. "Expert Opinion and Compensation: Evidence from a Musical Competition," American Economic Review, American Economic Association, vol. 93(1), pages 289-296, March.
    6. Emily Oster, 2019. "Unobservable Selection and Coefficient Stability: Theory and Evidence," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(2), pages 187-204, April.
    7. González-Díaz, Julio & Gossner, Olivier & Rogers, Brian W., 2012. "Performing best when it matters most: Evidence from professional tennis," Journal of Economic Behavior & Organization, Elsevier, vol. 84(3), pages 767-781.
    8. Genakos, Christos & Pagliero, Mario & Garbi, Eleni, 2015. "When pressure sinks performance: Evidence from diving competitions," Economics Letters, Elsevier, vol. 132(C), pages 5-8.
    9. Ignacio Palacios-Huerta & Oscar Volij, 2009. "Field Centipedes," American Economic Review, American Economic Association, vol. 99(4), pages 1619-1635, September.
    10. Michael Lechner & Ruth Miquel & Conny Wunsch, 2011. "Long‐Run Effects Of Public Sector Sponsored Training In West Germany," Journal of the European Economic Association, European Economic Association, vol. 9(4), pages 742-784, August.
    11. repec:hal:pseose:hal-00812984 is not listed on IDEAS
    12. Page, Lionel & Page, Katie, 2010. "Last shall be first: A field study of biases in sequential performance evaluation on the Idol series," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 186-198, February.
    13. 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.
    14. Huber, Martin & Lechner, Michael & Wunsch, Conny, 2013. "The performance of estimators based on the propensity score," Journal of Econometrics, Elsevier, vol. 175(1), pages 1-21.
    15. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    16. Martin Huber & Michael Lechner & Andreas Steinmayr, 2015. "Radius matching on the propensity score with bias adjustment: tuning parameters and finite sample behaviour," Empirical Economics, Springer, vol. 49(1), pages 1-31, August.
    17. Christos Genakos & Mario Pagliero, 2012. "Interim Rank, Risk Taking, and Performance in Dynamic Tournaments," Journal of Political Economy, University of Chicago Press, vol. 120(4), pages 782-813.
    18. Alex Krumer & Mosi Rosenboim & Offer Moshe Shapir, 2016. "Gender, Competitiveness, and Physical Characteristics," Journal of Sports Economics, , vol. 17(3), pages 234-259, April.
    19. Ignacio Palacios-Huerta, 2014. "Beautiful Game Theory: How Soccer Can Help Economics," Economics Books, Princeton University Press, edition 1, number 10260.
    20. Cohen-Zada, Danny & Krumer, Alex & Rosenboim, Mosi & Shapir, Offer Moshe, 2017. "Choking under pressure and gender: Evidence from professional tennis," Journal of Economic Psychology, Elsevier, vol. 61(C), pages 176-190.
    21. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    22. Sergiu Hart, 2005. "An Interview with Robert Aumann," Discussion Paper Series dp386, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    23. Hart, Sergiu, 2005. "An Interview With Robert Aumann," Macroeconomic Dynamics, Cambridge University Press, vol. 9(05), pages 683-740, November.
    24. 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.
    25. 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.
    26. Lawrence M. Kahn, 2000. "The Sports Business as a Labor Market Laboratory," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 75-94, Summer.
    27. Ignacio Palacios-Huerta, 2012. "Tournaments, Fairness And The Prouhet-Thue-Morse Sequence," Economic Inquiry, Western Economic Association International, vol. 50(3), pages 848-849, July.
    28. 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.
    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. Cohen-Zada, Danny & Krumer, Alex & Shapir, Offer Moshe, 2018. "Testing the effect of serve order in tennis tiebreak," Journal of Economic Behavior & Organization, Elsevier, vol. 146(C), pages 106-115.
    2. Iqbal, Hamzah & Krumer, Alex, 2017. "Discouragement Effect and Intermediate Prizes in Multi-Stage Contests: Evidence from Tennis’s Davis Cup," Economics Working Paper Series 1719, University of St. Gallen, School of Economics and Political Science.
    3. Iqbal, Hamzah & Krumer, Alex, 2019. "Discouragement effect and intermediate prizes in multi-stage contests: Evidence from Davis Cup," European Economic Review, Elsevier, vol. 118(C), pages 364-381.
    4. Krumer, Alex & Lechner, Michael, 2017. "First in first win: Evidence on schedule effects in round-robin tournaments in mega-events," European Economic Review, Elsevier, vol. 100(C), pages 412-427.
    5. Bar-Eli, Michael & Krumer, Alex & Morgulev, Elia, 2020. "Ask not what economics can do for sports - Ask what sports can do for economics," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 89(C).
    6. Krumer, Alex & Lechner, Michael, 2016. "First In First Win: Evidence on Unfairness of Round-Robin Tournaments in Mega-Events," Economics Working Paper Series 1611, University of St. Gallen, School of Economics and Political Science.
    7. Mueller-Langer Frank & Andreoli-Versbach Patrick, 2017. "Leading-Effect, Risk-Taking and Sabotage in Two-Stage Tournaments: Evidence from a Natural Experiment," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 237(1), pages 1-28, February.
    8. Hendrik Sonnabend, 2020. "On discouraging environments in team contests: Evidence from top‐level beach volleyball," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(6), pages 986-997, September.
    9. Franziska Braschke & Patrick A. Puhani, 2023. "Population Adjustment to Asymmetric Labour Market Shocks in India: A Comparison to Europe and the United States at Two Different Regional Levels," The Indian Journal of Labour Economics, Springer;The Indian Society of Labour Economics (ISLE), vol. 66(1), pages 7-35, March.
    10. Nicolas Houy & Jean-Philippe Nicolaï & Marie Claire Villeval, 2020. "Always doing your best? Effort and performance in dynamic settings," Theory and Decision, Springer, vol. 89(3), pages 249-286, October.
    11. 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.
    12. Wen‐Jhan Jane, 2022. "Choking or excelling under pressure: Evidence of the causal effect of audience size on performance," Bulletin of Economic Research, Wiley Blackwell, vol. 74(1), pages 329-357, January.
    13. Anbarcı, Nejat & Sun, Ching-Jen & Ünver, M. Utku, 2021. "Designing practical and fair sequential team contests: The case of penalty shootouts," Games and Economic Behavior, Elsevier, vol. 130(C), pages 25-43.
    14. Daniel Goller & Sandro Heiniger, 2024. "A general framework to quantify the event importance in multi-event contests," Annals of Operations Research, Springer, vol. 341(1), pages 71-93, October.
    15. Alex Krumer & Michael Lechner, 2018. "Midweek Effect On Soccer Performance: Evidence From The German Bundesliga," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 193-207, January.
    16. Krumer, Alex & Lechner, Michael, 2016. "Midweek Effect on Performance: Evidence from the German Soccer Bundesliga," Economics Working Paper Series 1609, University of St. Gallen, School of Economics and Political Science.
    17. Tom P. Vandebroek & Brian T. McCann & Govert Vroom, 2018. "Modeling the Effects of Psychological Pressure on First-Mover Advantage in Competitive Interactions," Journal of Sports Economics, , vol. 19(5), pages 725-754, June.
    18. Krumer, Alex, 2020. "Pressure versus ability: Evidence from penalty shoot-outs between teams from different divisions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 89(C).
    19. 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.
    20. 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.

    More about this item

    Keywords

    fairness; performance; contest; sequence; tiebreak; tennis;
    All these keywords.

    JEL classification:

    • D00 - Microeconomics - - General - - - General
    • L00 - Industrial Organization - - General - - - General
    • D20 - Microeconomics - - Production and Organizations - - - General
    • Z20 - Other Special Topics - - Sports Economics - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:iza:izadps:dp10878. 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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.html .

    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.