DOI: 10.1093/imaman/dpad014 ISSN:

Modelling player ratings in One Day International cricket using the Modified Duckworth-Lewis method

Muhammad Asif, Muhammad Yousaf
  • Applied Mathematics
  • Management Science and Operations Research
  • Strategy and Management
  • General Economics, Econometrics and Finance
  • Modeling and Simulation
  • Management Information Systems


We present a player rating system for One-Day International (ODI) cricket using the Modified Duckworth-Lewis model. We used ball-by-ball data of 1764 uninterrupted One-Day International (ODI) matches played from January 2004 to June 2021 to estimate model parameters. The proposed method is then used to rate players who appeared in the ICC Men’s World Cup 2019. The method is novel because the rating depends on the state of the match, so that pressure and non-pressure situations are accounted for. The method also considers a pitch effect (high or low run scoring). Moreover, the batsman performance can be compared to all-rounder and bowling performances. The results rate Shakib Al Hassan of Bangladesh as the tournament’s best player, followed by R.G. Sharma (India) and J.J. Roy (England).