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First-Mover Advantage In Round-Robin Tournaments

Author

Listed:
  • Alex Krumer

    (Ariel University,Israel)

  • Reut Megidish

    (Sapir Academic College, Israel.)

  • Aner Sela

    (BGU)

Abstract

We study round-robin tournaments with either three or four symmetric players whose values of winning are common knowledge. With three players there are three rounds, each of which includes one pair-wise game such that each player competes in two rounds only. The player who wins two games wins the tournament. We characterize the subgame perfect equilibrium and show that each player’s expected payoff and probability of winning is maximized when he competes in the first and the last rounds. With four players there are three rounds, each of which includes two sequential pair-wise games where each player plays against a different opponent in every round. We again characterize the subgame perfect equilibrium and show that a player who plays in the first game of each of the first two rounds has a first-mover advantage as reflected by a significantly higher winning probability as well as by a significantly higher expected payoff than his opponents.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Alex Krumer & Reut Megidish & Aner Sela, 2015. "First-Mover Advantage In Round-Robin Tournaments," Working Papers 1509, Ben-Gurion University of the Negev, Department of Economics.
  • Handle: RePEc:bgu:wpaper:1509
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    File URL: http://in.bgu.ac.il/en/humsos/Econ/Workingpapers/1509.pdf
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    References listed on IDEAS

    as
    1. Sela, Aner, 2011. "Best-of-three all-pay auctions," Economics Letters, Elsevier, vol. 112(1), pages 67-70, July.
    2. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    3. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    4. 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.
    5. Amegashie, J Atsu, 1999. "The Design of Rent-Seeking Competitions: Committees, Preliminary and Final Contests," Public Choice, Springer, vol. 99(1-2), pages 63-76, April.
    6. Martin G. Kocher & Marc V. Lenz & Matthias Sutter, 2012. "Psychological Pressure in Competitive Environments: New Evidence from Randomized Natural Experiments," Management Science, INFORMS, vol. 58(8), pages 1585-1591, August.
    7. Kai Konrad & Wolfgang Leininger, 2007. "The generalized Stackelberg equilibrium of the all-pay auction with complete information," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 165-174, September.
    8. Leininger, Wolfgang, 1991. "Patent competition, rent dissipation, and the persistence of monopoly: The role of research budgets," Journal of Economic Theory, Elsevier, vol. 53(1), pages 146-172, February.
    9. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    10. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    11. Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-545, October.
    12. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    13. Sela, Aner & Megidish, Reut, 2014. "Optimal Allocations in Round-Robin Tournaments," CEPR Discussion Papers 9873, C.E.P.R. Discussion Papers.
    14. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    15. Rick Harbaugh & Tilman Klumpp, 2005. "Early Round Upsets and Championship Blowouts," Economic Inquiry, Western Economic Association International, vol. 43(2), pages 316-329, April.
    16. Gary S. Becker, 1983. "A Theory of Competition Among Pressure Groups for Political Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 371-400.
    17. Feri, Francesco & Innocenti, Alessandro & Pin, Paolo, 2013. "Is there psychological pressure in competitive environments?," Journal of Economic Psychology, Elsevier, vol. 39(C), pages 249-256.
    18. Joseph E. Stiglitz & G. Frank Mathewson (ed.), 1986. "New Developments in the Analysis of Market Structure," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262690934, April.
    19. 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.
    20. Sela, Aner & Megidish, Reut, 2014. "Round-Robin Versus Elimination in Tournaments with a Dominant Player," CEPR Discussion Papers 10081, C.E.P.R. Discussion Papers.
    21. Wright, Brian Davern, 1983. "The Economics of Invention Incentives: Patents, Prizes, and Research Contracts," American Economic Review, American Economic Association, vol. 73(4), pages 691-707, September.
    22. Alex Krumer, 2013. "Best-of-two contests with psychological effects," Theory and Decision, Springer, vol. 75(1), pages 85-100, July.
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    More about this item

    Keywords

    All-pay contests; round-robin tournaments; first-mover advantage;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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