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Are sequential round-robin tournaments discriminatory?

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  • Sahm, Marco

Abstract

I examine sequential round-robin tournaments with three and four symmetric players. Each player is matched once with each other player. If the matches are organized as Tullock contests (all-pay auctions), the tournament will be almost fair (highly discriminatory): subject to the position of their matches in the sequence of the tournament, the differences in players' ex-ante winning probabilities and expected payoffs will be small (large). The differing results originate from the higher discriminating power of the all-pay auction. Moreover, the resulting discouragement effect in tournaments with all-pay auctions implies lower aggregate effort than in tournaments with suitable Tullock contests. The fairness of round-robin tournaments may be improved by the use of an endogenous sequence of matches or the requirement that players fix their effort ex-ante.

Suggested Citation

  • Sahm, Marco, 2017. "Are sequential round-robin tournaments discriminatory?," BERG Working Paper Series 121, Bamberg University, Bamberg Economic Research Group.
    • Handle: RePEc:zbw:bamber:121
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Christoph Laica & Arne Lauber & Marco Sahm, 2017. "Sequential Round-Robin Tournaments with Multiple Prizes," CESifo Working Paper Series 6685, CESifo.
    2. Arata, Yoshiyuki & Mundt, Philipp, 2019. "Topology and formation of production input interlinkages: Evidence from Japanese microdata," BERG Working Paper Series 152, Bamberg University, Bamberg Economic Research Group.
    3. Martin Carolin & Westerhoff Frank, 2019. "Regulating Speculative Housing Markets via Public Housing Construction Programs: Insights from a Heterogeneous Agent Model," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 239(4), pages 627-660, August.
    4. March, Christoph & Sahm, Marco, 2018. "Contests as selection mechanisms: The impact of risk aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 114-131.
    5. Proaño, Christian R. & Lojak, Benjamin, 2020. "Animal spirits, risk premia and monetary policy at the zero lower bound," Journal of Economic Behavior & Organization, Elsevier, vol. 171(C), pages 221-233.
    6. Hommes, Cars & Lustenhouwer, Joep & Mavromatis, Kostas, 2018. "Fiscal consolidations and heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 173-205.
    7. 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.
    8. Roberto Dieci & Noemi Schmitt & Frank Westerhoff, 2018. "Steady states, stability and bifurcations in multi-asset market models," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 357-378, November.
    9. Hommes, Cars & Lustenhouwer, Joep, 2019. "Managing unanchored, heterogeneous expectations and liquidity traps," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 1-16.
    10. Lustenhouwer, Joep & Mavromatis, Kostas, 2017. "Fiscal consolidations and finite planning horizons," BERG Working Paper Series 130, Bamberg University, Bamberg Economic Research Group.
    11. Mundt, Philipp & Oh, Ilfan, 2019. "Asymmetric competition, risk, and return distribution," BERG Working Paper Series 145, Bamberg University, Bamberg Economic Research Group.

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    20. Mundt, Philipp & Oh, Ilfan, 2019. "Asymmetric competition, risk, and return distribution," BERG Working Paper Series 145, Bamberg University, Bamberg Economic Research Group.

    More about this item

    Keywords

    Sequential Round-Robin Tournament; Contest Success Function; Discriminatory Power; Tullock Contest; All-Pay Auction;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • Z20 - Other Special Topics - - Sports Economics - - - General

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