Motivation to Run in One-Day Cricket

TL;DR

This paper presents a novel methodology combining dynamic modeling and stochastic differential equations to optimize cricket team scores by incorporating weather, attendance, and home advantage factors.

Contribution

It introduces a new path integral-based approach and stochastic run dynamics to better model cricket match outcomes considering environmental and situational variables.

Findings

Optimized team scores using the new methodology.

Effect of weather and attendance on match outcomes.

Quantitative assessment of home advantage.

Abstract

In this paper we introduce a new methodology to determine an optimal coefficient for a positive finite measure of batting average, strike rate, and bowling average of a player in order to get an optimal score of a team under dynamic modeling using a path integral method. We also introduce new run dynamics modeled as a stochastic differential equation in order to incorporate the average weather conditions at the cricket ground, the weather condition on the day of the match including sudden deterioration which leads to a partial or complete stop of the game, total attendance, and home field advantage.