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Probabilistic model for Padel games dynamics

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  • Chacoma, Andrés
  • Billoni, Orlando V.

Abstract

This study applies complexity sciences to analyze the game of Padel. Data from 18 professional matches were collected, and the probability distributions of the total number of shots and the probability distribution of rallies’ duration were analyzed. Based on these empirical observations and previous reports, a probabilistic model with two parameters was proposed to describe the game dynamics. One of them controls the probability of making a shot and the other probability of doing it offensively. The model also considers the offensive advantage of the team serving the ball. Using this model, an analytical expression for the probability distribution of the total number of shots was obtained and fit to the data. The results reveal that the complex dynamics of Padel can be effectively approximated as a stochastic process governed by simple probabilistic rules.

Suggested Citation

  • Chacoma, Andrés & Billoni, Orlando V., 2023. "Probabilistic model for Padel games dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006859
    DOI: 10.1016/j.chaos.2023.113784
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    References listed on IDEAS

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    1. Lawrence H. Riddle, 1988. "Probability Models for Tennis Scoring Systems," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(1), pages 63-75, March.
    2. Lawrence H. Riddle, 1988. "Probability Models for Tennis Scoring Systems," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(3), pages 490-490, November.
    3. Galeano, Javier & Gómez, Miguel-Ángel & Rivas, Fernando & Buldú, Javier M., 2022. "Using Markov chains to identify player’s performance in badminton," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    4. G. Peter O’Donoghue & Emily Brown, 2008. "The Importance of Service in Grand Slam Singles Tennis," International Journal of Performance Analysis in Sport, Taylor & Francis Journals, vol. 8(3), pages 70-78, November.
    5. Tal Neiman & Yonatan Loewenstein, 2011. "Reinforcement learning in professional basketball players," Nature Communications, Nature, vol. 2(1), pages 1-8, September.
    6. Ely, Jeffrey & Gauriot, Romain & Page, Lionel, 2017. "Do agents maximise? Risk taking on first and second serves in tennis," Journal of Economic Psychology, Elsevier, vol. 63(C), pages 135-142.
    7. Hui Zhang & Zheng Zhou, 2017. "An analytical model of the two basic situation strategies in table tennis," International Journal of Performance Analysis in Sport, Taylor & Francis Journals, vol. 17(6), pages 970-985, November.
    8. Tal Neiman & Yonatan Loewenstein, 2011. "Reinforcement learning in professional basketball players," Discussion Paper Series dp593, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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