- Value: This project is open to self-funded students and is eligible for funding from the
School of Mathematics Scholarships,
EPSRC Doctoral Training Partnerships, and
Leeds Doctoral Scholarships.
All successful UK/EU and international applicants will be considered for funding, in an open competition across the School of Mathematics. To be considered for this funding, it is recommended to apply no later than 31 March 2018 for funding to start in October 2018. However, earlier applications are welcome, and will be considered on an ongoing basis.
- Number of awards: 1
- Deadline: Ongoing
Contact Dr Peter Thwaites to discuss this project further informally.
Influence Diagrams (IDs - the decision-theoretic analogue of Bayesian Networks) can be used to model Bayesian games. If the ID is common knowledge to the game's players, then they can use the embodied Markov structure to determine simpler games and simpler optimal decision strategies for playing these games.
However, many common Bayesian games have highly asymmetric game trees, and cannot be fully or efficiently represented by an ID. The Chain Event Graph (CEG) of Smith & Thwaites (2006 onwards) has recently been used successfully to model such games. This project focuses on developing a formal semantics for game CEGs, creating efficient algorithms for determining optimal strategies, and assessing CEGs against currently available methods.
A good introduction to the area of Bayesian games can be found in D.L. Banks, J.M. Rios Aliaga & D. Rios Insua: Adversarial Risk Analysis, 2015.
Applications are invited from candidates with or expecting a minimum of a UK upper second class honours degree (2:1), and/or a Master's degree in a relevant mathematics degree such as (but not limited to) mathematics, statistics, computer science or business.
How to apply
Formal applications for research degree study should be made online through the university's website. Please state clearly in the research information section that the PhD you wish to be considered for is the 'Modelling asymmetric Bayesian Games’ as well as Dr Peter Thwaites as your proposed supervisor.
If English is not your first language, you must provide evidence that you meet the University’s minimum English Language requirements.
We welcome scholarship applications from all suitably-qualified candidates, but UK black and minority ethnic (BME) researchers are currently under-represented in our Postgraduate Research community, and we would therefore particularly encourage applications from UK BME candidates. All scholarships will be awarded on the basis of merit.