The Strategic Games Foundation funds Honours, Masters and PhD students on research in the mathematics of sport, gambling and conflicts. Please contact Tristan if you would like to be a sponsor of the foundation. All funding goes to the research candidates. There are no administration costs.
Dr Tristan Barnett (The Baron)
Associate Professor Tim Byrnes (CV)
Emeritus Professor Stewart Ethier (CV)
The Strategic Games Foundation constitution can be found here (pdf)
PROPOSED PHD PROJECTS
1. Developing a mobile app for casino games as a decision support tool
Calculations on casino games are obtained for the probabilities of winning for the various outcomes, average loss and the distribution of payouts. Strategies are obtained where they exist such as blackjack and pontoon. All of this information is developed on a mobile phone app. Analysis is given for poker machines, roulette, craps, two-up, baccarat, caribbean stud poker, sic bo, casino war, big wheel, blackjack, pontoon and pai gow; thus covering the majority of casino games offered in Australia.
2. Automating online tennis betting for profit
By analyzing point-by-point data a dependency Markov Chain prediction model is developed in Excel using forward and backward recursion to calculate the chances of winning as well as the first four moments of the number of points remaining in a match conditional on the scoreboard. A simulation prediction model is also developed where the Markov Chain dependency assumption does not hold. A Bayesian updating rule is formulated for the match in progress. The whole system is automated in Betfair to demonstrate a player advantage.
3. The mathematics of volleyball and pickleball
The probabilities of winning a match and the first four moments of the number of points remaining in a match from any score line for tennis can be obtained using recursion formulas in spreadsheets. This enables calculations for other racket sports such as table tennis. However, volleyball and pickleball are more complex to analyze than tennis due to the rotation of serve. This project calculates the probabilities of winning a match and the first four moments of the number of points remaining in a match from any score line for volleyball and pickleball.