IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v174y2023ics0960077923006859.html
   My bibliography  Save this article

Probabilistic model for Padel games dynamics

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923006859
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113784?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hanan Shteingart & Tal Neiman & Yonatan Loewenstein, 2012. "The Role of First Impression in Operant Learning," Discussion Paper Series dp626, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    2. Klaassen, F.J.G.M. & Magnus, J.R., 1998. "On the Independence and Identical Distribution of Points in Tennis," Other publications TiSEM 395a6222-6318-49b5-a42c-6, Tilburg University, School of Economics and Management.
    3. Jan Magnus & Franc Klaassen, 1999. "The final set in a tennis match: Four years at Wimbledon," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(4), pages 461-468.
    4. Tal Neiman & Yonatan Loewenstein, 2014. "Spatial Generalization in Operant Learning: Lessons from Professional Basketball," PLOS Computational Biology, Public Library of Science, vol. 10(5), pages 1-8, May.
    5. Justin J. Boutilier & Timothy C. Y. Chan, 2023. "Introducing and Integrating Machine Learning in an Operations Research Curriculum: An Application-Driven Course," INFORMS Transactions on Education, INFORMS, vol. 23(2), pages 64-83, January.
    6. Tal Neiman & Yonatan Loewenstein, 2014. "Spatial Generalization in Operant Learning: Lessons from Professional Basketball," Discussion Paper Series dp665, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    7. Joshua B. Miller & Adam Sanjurjo, 2015. "Is it a Fallacy to Believe in the Hot Hand in the NBA Three-Point Contest?," Working Papers 548, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    8. Ofri Raviv & Merav Ahissar & Yonatan Loewenstein, 2012. "How Recent History Affects Perception: The Normative Approach and Its Heuristic Approximation," PLOS Computational Biology, Public Library of Science, vol. 8(10), pages 1-10, October.
    9. Joshua B. Miller & Adam Sanjurjo, 2014. "A Cold Shower for the Hot Hand Fallacy," Working Papers 518, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    10. Aloys Prinz, 2019. "Learning (Not) to Evade Taxes," Games, MDPI, vol. 10(4), pages 1-18, September.
    11. Brian Skinner, 2012. "The Problem of Shot Selection in Basketball," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-8, January.
    12. Magnus, J.R. & Klaassen, F.J.G.M., 1996. "Testing some common tennis hypotheses : Four years at Wimbledon," Other publications TiSEM a1acdf3a-74c8-4e6c-bf8a-9, Tilburg University, School of Economics and Management.
    13. Miller, Joshua B. & Sanjurjo, Adam, 2021. "Is it a fallacy to believe in the hot hand in the NBA three-point contest?," European Economic Review, Elsevier, vol. 138(C).
    14. Ofri Raviv & Merav Ahissar & Yonatan Loewenstein, 2012. "How recent history affects perception: the normative approach and its heuristic approximation," Discussion Paper Series dp628, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    15. Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "A Visible (Hot) Hand? Expert Players Bet on the Hot Hand and Win," OSF Preprints sd32u, Center for Open Science.
    16. Miller, Joshua Benjamin & Sanjurjo, Adam, 2018. "Is it a Fallacy to Believe in the Hot Hand in the NBA Three-Point Contest?," OSF Preprints dmksp, Center for Open Science.
    17. D F Percy, 2009. "A mathematical analysis of badminton scoring systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 63-71, January.
    18. Gianluigi Mongillo & Hanan Shteingart & Yonatan Loewenstein, 2014. "The Misbehavior of Reinforcement Learning," Discussion Paper Series dp661, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    19. Hanan Shteingart & Yonatan Loewenstein, 2014. "Reinforcement Learning and Human Behavior," Discussion Paper Series dp656, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    20. Nicolas Houy & Jean-Philippe Nicolaï & Marie Claire Villeval, 2020. "Always doing your best? Effort and performance in dynamic settings," Theory and Decision, Springer, vol. 89(3), pages 249-286, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006859. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.