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Catch-Up: A Rule that Makes Service Sports More Competitive

Research output: Contribution to journalArticle

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Catch-Up : A Rule that Makes Service Sports More Competitive. / Brams, Steven; Ismail, Mehmet; Kilgour, Marc ; Stromquist, Walter.

In: AMERICAN MATHEMATICAL MONTHLY, 06.02.2018.

Research output: Contribution to journalArticle

Harvard

Brams, S, Ismail, M, Kilgour, M & Stromquist, W 2018, 'Catch-Up: A Rule that Makes Service Sports More Competitive' AMERICAN MATHEMATICAL MONTHLY.

APA

Brams, S., Ismail, M., Kilgour, M., & Stromquist, W. (Accepted/In press). Catch-Up: A Rule that Makes Service Sports More Competitive.

Vancouver

Brams S, Ismail M, Kilgour M, Stromquist W. Catch-Up: A Rule that Makes Service Sports More Competitive. AMERICAN MATHEMATICAL MONTHLY. 2018 Feb 6.

Author

Brams, Steven ; Ismail, Mehmet ; Kilgour, Marc ; Stromquist, Walter. / Catch-Up : A Rule that Makes Service Sports More Competitive. In: AMERICAN MATHEMATICAL MONTHLY. 2018

Bibtex Download

@article{7a8ddcb8b8ec4e05a5d7dc3eaa9e4ebe,
title = "Catch-Up: A Rule that Makes Service Sports More Competitive",
abstract = "Service sports include two-player contests such as volleyball, badminton, and squash. We analyze four rules, including the Standard Rule (SR), in which a player continues to serve until he or she loses. The Catch-Up Rule (CR) gives the serve to the player who has lost the previous point—as opposed to the player who won the previous point, as under SR. We also consider two Trailing Rules that make the server the player who trails in total score. Surprisingly, compared with SR, only CR gives the players the same probability of winning a game while increasing its expected length, thereby making it more competitive and exciting to watch. Unlike one of the Trailing Rules, CR is strategy-proof. By contrast, the rules of tennis fix who serves and when; its tiebreaker, however, keeps play competitive by being fair—not favoring either the player who serves first or who serves second.",
keywords = "Sports rules, service sports, Markov processes, competitiveness, fairness, strategy-proofness",
author = "Steven Brams and Mehmet Ismail and Marc Kilgour and Walter Stromquist",
year = "2018",
month = "2",
day = "6",
language = "English",
journal = "AMERICAN MATHEMATICAL MONTHLY",
issn = "0002-9890",
publisher = "Mathematical Association of America",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Catch-Up

T2 - AMERICAN MATHEMATICAL MONTHLY

AU - Brams,Steven

AU - Ismail,Mehmet

AU - Kilgour,Marc

AU - Stromquist,Walter

PY - 2018/2/6

Y1 - 2018/2/6

N2 - Service sports include two-player contests such as volleyball, badminton, and squash. We analyze four rules, including the Standard Rule (SR), in which a player continues to serve until he or she loses. The Catch-Up Rule (CR) gives the serve to the player who has lost the previous point—as opposed to the player who won the previous point, as under SR. We also consider two Trailing Rules that make the server the player who trails in total score. Surprisingly, compared with SR, only CR gives the players the same probability of winning a game while increasing its expected length, thereby making it more competitive and exciting to watch. Unlike one of the Trailing Rules, CR is strategy-proof. By contrast, the rules of tennis fix who serves and when; its tiebreaker, however, keeps play competitive by being fair—not favoring either the player who serves first or who serves second.

AB - Service sports include two-player contests such as volleyball, badminton, and squash. We analyze four rules, including the Standard Rule (SR), in which a player continues to serve until he or she loses. The Catch-Up Rule (CR) gives the serve to the player who has lost the previous point—as opposed to the player who won the previous point, as under SR. We also consider two Trailing Rules that make the server the player who trails in total score. Surprisingly, compared with SR, only CR gives the players the same probability of winning a game while increasing its expected length, thereby making it more competitive and exciting to watch. Unlike one of the Trailing Rules, CR is strategy-proof. By contrast, the rules of tennis fix who serves and when; its tiebreaker, however, keeps play competitive by being fair—not favoring either the player who serves first or who serves second.

KW - Sports rules

KW - service sports

KW - Markov processes

KW - competitiveness

KW - fairness

KW - strategy-proofness

M3 - Article

JO - AMERICAN MATHEMATICAL MONTHLY

JF - AMERICAN MATHEMATICAL MONTHLY

SN - 0002-9890

ER -

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