Position Play in Carom Billiards as a Markov Process

Bouville Mathieu
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Bouville Mathieu: Institute of Materials Research and Engineering

Journal of Quantitative Analysis in Sports, 2007, vol. 3, issue 4, 12

Abstract: Position play is a key feature of carom billiards: on easy shots, players can manage to score while ensuring that the next position will be favorable. The difficulty of a shot therefore depends on the previous shot; e.g., an easy shot generally follows an easy shot. We introduce a Markov process that accounts for such correlations. This model can explain the long series of easy shots and the high scores that ensue. It can also identify differences in the scoring patterns of players at different skill levels. Players can use this model via the web page http://billiards.mathieu.bouville.name/biMar/.

Keywords: billiards; Markov process; Bernoulli process; sport; game (search for similar items in EconPapers)
Date: 2007
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DOI: 10.2202/1559-0410.1075

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