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Abstract:
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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 . |