An average cost Markov decision process model to decide when to challenge a call in a tennis match

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Title: An average cost Markov decision process model to decide when to challenge a call in a tennis match
Author: Nadimpalli, Vamsi Krishna
Abstract: In a standard tennis match each player has an unlimited opportunity to challenge an umpire’s call , but if three incorrect challenges are made in a set he is not allowed to challenge anymore in that set . If the set goes into a tie break the limit on incorrect challenges increases by one . These limited incorrect challenges are not carried over from one set to another . So this is kind of a limited resource available to the player and if he knows how to use this resource in a best possible way , there is a scope for increasing his overall chances of winning a match . With the motive of gaining insight on when to challenge a call , we have modeled a single game in a tennis match as a Markov decision process . We have also studied the impact of variables like player’s probability of winning a point , the player’s perception of the challengability of a call and proportion of challengable calls on the decision making process .
URI: http : / /hdl .handle .net /2152 /ETD -UT -2010 -08 -1822
Date: 2011-02-16

Citation

An average cost Markov decision process model to decide when to challenge a call in a tennis match. Master's thesis, University of Texas at Austin. Available electronically from http : / /hdl .handle .net /2152 /ETD -UT -2010 -08 -1822 .

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