EconPapers    
Economics at your fingertips  
 

OPTIMAL STRATEGIES IN ONE-DAY CRICKET

Pam Norton and Ravi Phatarfod ()
Additional contact information
Pam Norton: School of Mathematical Sciences, Monash University, Victoria, Australia, 3800, Australia
Ravi Phatarfod: School of Mathematical Sciences, Monash University, Victoria, Australia, 3800, Australia

Asia-Pacific Journal of Operational Research (APJOR), 2008, vol. 25, issue 04, 495-511

Abstract: Using a dynamic programming formulation, an analysis is presented of both the first and second innings of a one-day cricket match assuming variation in type of ball bowled and subsequent selection of a strategy by the batsman. We assume that the team batting first uses the strategy to maximize the expected score, and the team batting second uses the strategy to maximize the probability of outscoring the first team and thus of maximizing the probability of a win. The dynamic programming formulation allows a calculation, at any stage of the innings, of the optimal scoring strategy depending on the type of ball bowled, along with an estimate of the maximum of the expected number of runs scored in the remainder of the first innings, and the maximum probability of a win in the second innings. Modifications are then introduced to examine the effect of tailender batsmen and a "fifth bowler". Finally a simulation is done to estimate the variance in total score by following the optimal strategy used in the first innings.

Keywords: Dynamic programming; cricket; first innings; second innings; optimal strategies (search for similar items in EconPapers)
Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595908001833
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:25:y:2008:i:04:n:s0217595908001833

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595908001833

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().

 
Page updated 2025-03-20
Handle: RePEc:wsi:apjorx:v:25:y:2008:i:04:n:s0217595908001833