Bc & MSc project proposals
Are you interested in writing your Bachelor or Master thesis in game theory, dynamic systems & chaos theory, or a related topic?
Or are you interested in application of game theory in solving real-world problems (biology, traffic, energy markets...)?
Then do not hesitate to contact me. I have listed here some of the topics that I find interesting and that can be possible topic of (your) MSc thesis/Bc thesis research:
- Understanding cancer using either mathematical or agent-based moeldeling (just some possible topics here, we can think of others as well; no previous experience with modeling cancer needed):
- Modeling heterogeneous cells using real data: here we could think of spatial models which will describe interactions between different phenotypes of cancer cells
- Modeling interactions between cancer cells and T-cells
- Cancer seems to be an evolutionary process - what us the best way to model it using evololutinary game theory? Is replicator dynamics sufficient?
- Models for cancer treatment: Modeling interactions between cancer cells and the treatment and subsequently modeling application of different treatments
- I can show you some projects of other students who have been working on this topic - just let me know that you want to see those ...
- Other biological projects:
- Modeling reak-world biological process
- Game-Theoretical and Optimal Control Methods in Systems Biology
- When does evolution optimize? (Can we really use game theory to predict optimal behavior of animals and plants? Or is this possible only for very simple systems?)
This project will be based on studying the famous paper by Hans Metz which you can find here
- Understanding (road) traffic:
- Optimal toll design problem (Modeling traffic network with speedways that can be tolled as a dynamic system; studying properties of such a system;
modeling the interaction between the drivers that make their dynamic travel choices and the road authority that decides where and how the tolls should be imposed
in the network as a dynamic game; finding optimal behavior for both drivers and road authority in such a game)
- Insurance box game (using boxes that measure indicators of drivers' behavior such as average speed, frequency of stops, line changing... in order to design insurance policy for more or less risky drivers)
- More theoretical problems involving dynamical systems:
- Between discrete and continuous: hybrid problems (Modeling systems that embody both discrete-time and continuous-time elements; studying properties of such systems; predicting their behavior)
- Controlability of large-scale networks (often using theory related to bipartite graphs)
- Chaos in real-world dynamic systems (Modeling systems that exhibit chaotic behavior; studying their properties)
- Optimal strategies in the so-called inverse Stackelberg games
But we could also think of applications for any of these topics ...
- Games in electricity markets (together with some specialists from TU Eidhoven):
- Modeling different electricity markets and predicting electricity prices using long-term data
- What is the best strategy of electricity producers to maximize their profits in a given market?
- Finding optimal charging and discharging time for electricity storage devices in order to make profit
- Project following your own ideas (within game theory, dynamic systems, chaos theory, their combination, or application of either of the two in solving real-world problems)
Here should appear soon some examples of last year theses ...(if it takes too long, please send me a reminder :-))
For more information and/or ideas regarding the MSc & Bc project proposals,
please contact me via email.
Also, do not hesitate to contact me if
you need consult regarding problems that might be solved using game theory.