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The Order of Games in a Best-of-Three Contest

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  • Alex Krumer

Abstract

We study a best-of-three all-pay contest with two players in which the first player to win two games wins the contest. Each player has a value of winning the contest as well as a value of winning a single game. It is assumed that a player’s value of winning a game in his home field is higher than his value of winning a game away from home. The stronger player (the player with the higher value of winning the contest) plays twice at his home field and once away from it. We analyze the order of games that both players agree to, according to which no one has an incentive to switch to a different order, since switching would not yield a higher expected payoff. In this order, the weaker player plays at his home field in the first stage and then plays two games at the stronger player’s field.

Suggested Citation

  • Alex Krumer, 2015. "The Order of Games in a Best-of-Three Contest," Journal of Sports Economics, , vol. 16(2), pages 185-200, February.
  • Handle: RePEc:sae:jospec:v:16:y:2015:i:2:p:185-200
    DOI: 10.1177/1527002512471537
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    References listed on IDEAS

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    Cited by:

    1. Netanel Nissim & Aner Sela, 2020. "The Third Place Game," Journal of Sports Economics, , vol. 21(1), pages 64-86, January.
    2. Aner Sela, 2021. "Resource Allocations In Multi-Stage Contests," Working Papers 2105, Ben-Gurion University of the Negev, Department of Economics.
    3. 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.
    4. Aner Sela, 2023. "Resource allocations in the best-of-k ( $$k=2,3$$ k = 2 , 3 ) contests," Journal of Economics, Springer, vol. 139(3), pages 235-260, August.
    5. Aner Sela & Oz Tsahi, 2020. "On the optimal allocation of prizes in best-of-three all-pay auctions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 255-273, August.
    6. Peter-J. Jost, 2021. "Competitive Balance and the Away Goals Rule During Extra Time," Journal of Sports Economics, , vol. 22(7), pages 823-863, October.

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