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To run or not?: Some dynamic programming models in cricket

Author

Listed:
  • S R Clarke

    (Swinburne University of Technology)

  • J M Norman

    (Sheffield University)

Abstract

In cricket, particularly near the end of an innings, batsmen of different abilities need to manage the rate at which they score runs. Either batsman can choose to bat aggressively or defensively, which alters their chances of scoring runs or being dismissed. Since they change ends when they score a run and at the end of an over, by scoring an odd or even number of runs the two batsmen also determine which of them will face the next ball. It may be worthwhile to refuse a run to keep the slower or lower scoring batsman from the strike. Some dynamic programming models are developed which could be used to maximise the total number of runs scored.

Suggested Citation

  • S R Clarke & J M Norman, 1999. "To run or not?: Some dynamic programming models in cricket," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(5), pages 536-545, May.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:5:d:10.1057_palgrave.jors.2600705
    DOI: 10.1057/palgrave.jors.2600705
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    Citations

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    Cited by:

    1. Stevenson Oliver George & Brewer Brendon J., 2017. "Bayesian survival analysis of batsmen in Test cricket," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 13(1), pages 25-36, March.
    2. Kostuk, Kent J. & Willoughby, Keith A. & Saedt, Anton P. H., 2001. "Modelling curling as a Markov process," European Journal of Operational Research, Elsevier, vol. 133(3), pages 557-565, September.
    3. M Wright & N Hirotsu, 2003. "The professional foul in football: Tactics and deterrents," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(3), pages 213-221, March.
    4. M B Wright, 2009. "50 years of OR in sport," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 161-168, May.
    5. N Hirotsu & M Wright, 2003. "Determining the best strategy for changing the configuration of a football team," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 878-887, August.
    6. Oliver G. Stevenson & Brendon J. Brewer, 2021. "Finding your feet: A Gaussian process model for estimating the abilities of batsmen in test cricket," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(2), pages 481-506, March.
    7. Chitresh Kumar & Girish Balasubramanian, 2023. "Comparative Analysis of Pitch Ratings in All Formats of Cricket," Management and Labour Studies, XLRI Jamshedpur, School of Business Management & Human Resources, vol. 48(3), pages 307-324, August.
    8. S R Clarke & J M Norman, 2003. "Dynamic programming in cricket: choosing a night watchman," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 838-845, August.
    9. Romain Gauriot & Lionel Page, 2015. "I Take Care of My Own: A Field Study on How Leadership Handles Conflict between Individual and Collective Incentives," American Economic Review, American Economic Association, vol. 105(5), pages 414-419, May.

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