Using game theory to optimize performance in a best-of-N set match
This paper analyzes the situation in a best-of-N set match, where both players/teams are given the opportunity to increase their probability of winning a set (increase in effort) on one particular set. To gain insight to the problem, a best-of-3 set match (as typically used in tennis) is analyzed. Using game theory to obtain an optimal solution, the results indicate that both players should use a mixed strategy, by applying their increase in effort at each set with a probability of one third. A conjecture is devised to obtain an optimal solution for a best-of-N set match. Some applications are given to the theoretical results, which could be used by coaches and players to optimize performance.
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Aiheet: | urheilupeli tennis pöytätennis teoria matemaattis-looginen malli ennuste suorituskyky |
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Aihealueet: | urheilukilpailut tekniset ja luonnontieteet |
Tagging: | Spieltheorie |
DOI: | 10.2202/1559-0410.1228 |
Julkaisussa: | Journal of Quantitative Analysis in Sports |
Julkaistu: |
2010
|
Vuosikerta: | 6 |
Numero: | 2 |
Julkaisutyypit: | artikkeli |
Kieli: | englanti (kieli) |
Taso: | kehittynyt |