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Risk Taking in Asymmetric Tournaments

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  • Kräkel Matthias

    (University of Bonn, Boon, Germany)

Abstract

A tournament is examined in which two agents with different abilities choose efforts as well as risks. According to the previous literature, the more (less) able agent should choose a low (high) risk strategy, because the first one does not want to imperil his favorable position, whereas the last one can only gain by increasing risk. We show that this is not necessarily true. Risk taking affects equilibrium efforts as well as winning probabilities. Depending on both effects diverse equilibria are possible. For example, the low and the high ability agent may both choose high risks or both choose low risks.

Suggested Citation

  • Kräkel Matthias, 2004. "Risk Taking in Asymmetric Tournaments," German Economic Review, De Gruyter, vol. 5(1), pages 103-116, February.
    • Handle: RePEc:bpj:germec:v:5:y:2004:i:1:p:103-116
    DOI: 10.1111/j.1465-6485.2004.00096.x
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    Cited by:

    1. 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.
    2. Eriksen, Kristoffer W. & Kvaløy, Ola, 2014. "Myopic risk-taking in tournaments," Journal of Economic Behavior & Organization, Elsevier, vol. 97(C), pages 37-46.
    3. Kräkel, Matthias, 2008. "Optimal risk taking in an uneven tournament game with risk averse players," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1219-1231, December.
    4. Andersson, Ola & Holm, Håkan J. & Wengström, Erik, 2016. "Grind or Gamble? An Experimental Analysis of Effort and Spread Seeking in Contests," Working Papers 2016:37, Lund University, Department of Economics, revised 28 Jan 2019.
    5. Spencer Bastani & Thomas Giebe & Oliver Gürtler, 2019. "A General Framework for Studying Contests," CESifo Working Paper Series 7993, CESifo.
    6. Mueller-Langer, Frank & Andreoli-Versbach, Patrick, 2013. "Leading-effect vs. Risk-taking in Dynamic Tournaments: Evidence from a Real-life Randomized Experiment," Discussion Papers in Economics 15452, University of Munich, Department of Economics.
    7. Kristoffer W. Eriksen & Ola Kvaløy & Trond E. Olsen, 2011. "Tournaments with Prize‐setting Agents," Scandinavian Journal of Economics, Wiley Blackwell, vol. 113(3), pages 729-753, September.
    8. Cedric Duvinage & Peter-J. Jost, 2019. "The Role of Referees in Professional Sports Contests," Journal of Sports Economics, , vol. 20(8), pages 1014-1050, December.
    9. Christian Grund & Oliver Gurtler, 2005. "An empirical study on risk-taking in tournaments," Applied Economics Letters, Taylor & Francis Journals, vol. 12(8), pages 457-461.
    10. Graff, Frederik & Grund, Christian & Harbring, Christine, 2021. "Competing on the Holodeck - The effect of virtual peers and heterogeneity in dynamic tournaments," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    11. Kräkel, Matthias & Nieken, Petra & Przemeck, Judith, 2014. "Risk taking and investing in electoral competition," European Journal of Political Economy, Elsevier, vol. 33(C), pages 98-120.
    12. Kräkel, Matthias & Schöttner, Anja, 2010. "Technology choice, relative performance pay, and worker heterogeneity," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 748-758, December.
    13. Gürtler, Oliver & Struth, Lennart & Thon, Max, 2023. "Competition and risk-taking," European Economic Review, Elsevier, vol. 160(C).
    14. Nieken, Petra & Stegh, Michael, 2010. "Incentive Effects in Asymmetric Tournaments Empirical Evidence from the German Hockey League," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 305, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    15. Uwe Cantner & Werner Güth & Andreas Nicklisch & Torsten Weiland, 2009. "Competition In Product Design: An Experiment Exploring Innovation Behavior," Metroeconomica, Wiley Blackwell, vol. 60(4), pages 724-752, November.
    16. Kräkel, Matthias & Schöttner, Anja, 2010. "Technology Choice and Incentives under Relative Performance Schemes," Bonn Econ Discussion Papers 10/2010, University of Bonn, Bonn Graduate School of Economics (BGSE).
    17. Johannes Berger & Petra Nieken, 2016. "Heterogeneous Contestants and the Intensity of Tournaments," Journal of Sports Economics, , vol. 17(7), pages 631-660, October.
    18. Grossmann, Martin, 2014. "Uncertain contest success function," European Journal of Political Economy, Elsevier, vol. 33(C), pages 134-148.
    19. Matthias Menter & Erik E. Lehmann & Torben Klarl, 2018. "In search of excellence: a case study of the first excellence initiative of Germany," Journal of Business Economics, Springer, vol. 88(9), pages 1105-1132, December.
    20. Bernd Frick & Oliver Gürtler & Joachim Prinz, 2008. "Anreize in Turnieren mit heterogenen Teilnehmern — Eine empirische Untersuchung mit Daten aus der Fußball-Bundesliga," Schmalenbach Journal of Business Research, Springer, vol. 60(4), pages 385-405, June.
    21. Nieken, Petra & Sliwka, Dirk, 2010. "Risk-taking tournaments - Theory and experimental evidence," Journal of Economic Psychology, Elsevier, vol. 31(3), pages 254-268, June.
    22. Miller, Danny & Pastoriza, David & Plante, Jean-François, 2019. "Conditioning competitive risk: Competitors’ rank proximity and relative ability," Journal of Economic Psychology, Elsevier, vol. 73(C), pages 161-175.
    23. Bastani, Spencer & Giebe, Thomas & Gürtler, Oliver, 2022. "Simple equilibria in general contests," Games and Economic Behavior, Elsevier, vol. 134(C), pages 264-280.
    24. Usvitskiy, Alexander, 2022. "Strategic risk-taking in dynamic contests," Journal of Economic Behavior & Organization, Elsevier, vol. 198(C), pages 511-534.

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    More about this item

    Keywords

    Effort effect; likelihood effect; risk taking; tournament;
    All these keywords.

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • J3 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs
    • M12 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Personnel Management; Executives; Executive Compensation

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