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Strategic Tournaments

Author

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  • Ayala Arad
  • Ariel Rubinstein

Abstract

A strategic (round-robin) tournament is a simultaneous n-player game built on top of a symmetric two-player game G. Each player chooses one action in G and is matched to play G against all other players. The winner of the tournament is the player who achieves the highest total G-payoff. The tournament has several interpretations as an evolutionary model, as a model of social interaction, and as a model of competition between firms with procedurally rational consumers. We prove some general properties of the model and explore the intuition that a tournament encourages riskier behavior
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Suggested Citation

  • Ayala Arad & Ariel Rubinstein, 2012. "Strategic Tournaments," Levine's Bibliography 786969000000000438, UCLA Department of Economics.
    • Handle: RePEc:cla:levrem:786969000000000438
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    File URL: http://arielrubinstein.tau.ac.il/papers/tournaments.pdf
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    References listed on IDEAS

    as
    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Green, Jerry R & Stokey, Nancy L, 1983. "A Comparison of Tournaments and Contracts," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 349-364, June.
    4. Dekel, Eddie & Scotchmer, Suzanne, 1999. "On the Evolution of Attitudes towards Risk in Winner-Take-All Games," Journal of Economic Theory, Elsevier, vol. 87(1), pages 125-143, July.
    5. Ayala Arad & Ariel Rubinstein, 2012. "The 11-20 Money Request Game: A Level-k Reasoning Study," American Economic Review, American Economic Association, vol. 102(7), pages 3561-3573, December.
    6. 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.
    7. Gilbert Laffond & Jean-François Laslier & Michel Breton, 2000. "K–Player Additive Extension of Two-Player games with an Application to the Borda Electoral Competition Game," Theory and Decision, Springer, vol. 48(2), pages 129-137, March.
    8. Arad Ayala, 2012. "The Tennis Coach Problem: A Game-Theoretic and Experimental Study," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-43, April.
    9. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-898, December.
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    Cited by:

    1. Arad, Ayala & Rubinstein, Ariel, 2012. "Multi-dimensional iterative reasoning in action: The case of the Colonel Blotto game," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 571-585.
    2. De Sinopoli, Francesco & Meroni, Claudia & Pimienta, Carlos, 2020. "Tournament-stable equilibria," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 41-51.
    3. Robertson, Matthew J., 2018. "Contests with Ex-Ante Target Setting," CRETA Online Discussion Paper Series 47, Centre for Research in Economic Theory and its Applications CRETA.
    4. Francesco De Sinopoli & Claudia Meroni & Carlos Pimienta, 2016. "Double round-robin tournaments," Discussion Papers 2016-04, School of Economics, The University of New South Wales.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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