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Binary Markov Games and Tennis Matches

Tuinsma, T. (2016) Binary Markov Games and Tennis Matches. Bachelor's Thesis, Mathematics.

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Abstract

In this paper a class of games called binary Markov games will be introduced. These can be used to model tennis matches. Equilibrium strategies for the two players in a tennis match are established. Based on these strategies, both players’ probabilities to win the match are calculated, as well as the expected number of points in a match. Finally the strength of the players in the longest tennis match in history can be estimated using the expected number of points in a tennis match.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:11
Last Modified: 15 Feb 2018 08:11
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/13761

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