22 research outputs found
Cricket Interruptus: Fairness and Incentive in Interrupted Cricket Matches
We present a new adjustment rule for interrupted cricket matches that equalizes the probability of winning before and after the interruption. Our proposal differs from existing rules in the quantity preserved (the probability of winning) and also in the point at which it is measured (the time of interruption). We claim this is both fair and free of incentive effects. We give several examples of how our rule could have been applied in past matches including some in which the ultimate result might have been different
A short comparative study on modified Duckworth-Lewis methods.
In this paper, the Duckworth-Lewis-Stern (DLS) and Duckworth-Lewis-McHale-Asif (DLMA) methods of revising targets for a team batting in second innings in an interrupted Limited Overs International Cricket (LOI), are examined for fairness. The work discusses four significant points: flexibility, intuition, simplicity, and goodness-of-fit of the two mentioned methods. The research findings have shown that the DLMA method is better in every aspect than the DLS method. Further, the data of 1764 ODI matches played during 2004-2021 to investigate the compatibility of the DLMA for high run-scoring One-Day International matches. The results show that DLMA is compatible to the situation of the well-above run-scoring situation
Cricket Interruptus: Fairness and Incentive in Interrupted Cricket Matches
We present a new adjustment rule for interrupted cricket matches that equalizes the probability of winning before and after the interruption. Our proposal differs from existing rules in the quantity preserved (the probability of winning) and also in the point at which it is measured (the time of interruption). We claim this is both fair and free of incentive effects. We give several examples of how our rule could have been applied in past matches including some in which the ultimate result might have been different
A Probabilistic Approach to Identifying Run Scoring Advantage in the Order of Playing Cricket
In the game of cricket, the result of coin toss is assumed to be one of the
determinants of match outcome. The decision to bat first after winning the toss
is often taken to make the best use of superior pitch conditions and set a big
target for the opponent. However, the opponent may fail to show their natural
batting performance in the second innings due to a number of factors, including
deteriorated pitch conditions and excessive pressure of chasing a high target
score. The advantage of batting first has been highlighted in the literature
and expert opinions, however, the effect of batting and bowling order on match
outcome has not been investigated well enough to recommend a solution to any
potential bias. This study proposes a probability theory-based model to study
venue-specific scoring and chasing characteristics of teams under different
match outcomes. A total of 1117 one-day international matches held in ten
popular venues are analyzed to show substantially high scoring advantage and
likelihood when the winning team bat in the first innings. Results suggest that
the same 'bat-first' winning team is very unlikely to score or chase such a
high score if they were to bat in the second innings. Therefore, the coin toss
decision may favor one team over the other. A Bayesian model is proposed to
revise the target score for each venue such that the winning and scoring
likelihood is equal regardless of the toss decision. The data and source codes
have been shared publicly for future research in creating competitive match
outcomes by eliminating the advantage of batting order in run scoring
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Governing Social Bodies: Affect and Number in Contemporary Cricket
Two recent cybernetics-derived academic disciplines, biomechanics and operations research, have worked to reshape cricket. Liberalization and the consequent large flows of money into the game have resulted in a transformation in how the game is regulated, coached, and played. In this dissertation, I have focused on how cricket is now being produced through an account of the use of biomechanics in the regulating and coaching of cricket and an appraisal of the role that operations research plays in regulating interruptions to individual games of cricket.
I argue that these twin developments correspond to Foucault's notion of a contemporary governmentality organized around the body as machine and the species of body, respectively. A consideration of the manner in which cybernetics underpins these practices and theories broadens and deepens accounts of both how the contemporary world is continually being shaped and being studied
Proceedings of Mathsport international 2017 conference
Proceedings of MathSport International 2017 Conference, held in the Botanical Garden of the University of Padua, June 26-28, 2017.
MathSport International organizes biennial conferences dedicated to all topics where mathematics and sport meet.
Topics include: performance measures, optimization of sports performance, statistics and probability models, mathematical and physical models in sports, competitive strategies, statistics and probability match outcome models, optimal tournament design and scheduling, decision support systems, analysis of rules and adjudication, econometrics in sport, analysis of sporting technologies, financial valuation in sport, e-sports (gaming), betting and sports