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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/204563
- Using game theory to optimize performance in a best-of-N set match
- Barnett, Tristan; Zeleznikow, John; MacMahon, Clare
- 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.
- Publication type
- Journal article
- Journal of Quantitative Analysis in Sports, Vol. 6, no. 2 (2010), article no. 2
- Publication year
- FOR Code(s)
- 0104 Statistics; 0913 Mechanical Engineering
- Best-of-N set match; Game theory; Optimisation
- Berkeley Electronic Press
- Publisher URL
- Copyright © 2010.
- Peer reviewed