Game Theory Applications: Project Proposals and Examples

This lecture discusses the application of game theory in various projects, emphasizing the importance of problem formulation and mathematical modeling. The instructor outlines the project proposal requirements, including the need for a clear problem statement and motivation. Examples of past projects are presented, showcasing topics such as multi-agent consensus control, financial market modeling as repeated games, and optimal time-of-use electricity pricing strategies. The lecture highlights the significance of using game theoretic analysis to address complex problems in diverse fields, including robotics, finance, and energy management. The instructor encourages students to think critically about their project ideas and to utilize backward induction to define successful outcomes. Additionally, the importance of literature reviews and understanding existing work in the field is stressed, as well as the need for clarity in mathematical formulations and results interpretation. Overall, the lecture serves as a guide for students to develop their own projects while applying game theory concepts effectively.