The Geometry of Nash Equilibria in Games with Dependent Payoffs

Nash equilibria is a game-theory concept that determines the optimal solution in a non-cooperative game in which no player have an incentive to deviate from the initial chosen strategy,assuming the other players keep their strategies unchanged. This project will focus on games where a large number of players are involved and the payoffs are weekly dependent, with the possibility of ties. We study a multitude of phase transitions in terms of the correlation between payoffs and probabilities of ties.

Baihe Zhang

Monash University

In 2017, Baihe enrolled in a double degree course – Bachelor of Secondary Education and Science at Monash University. During her study, she enjoyed learning mathematics, and showed particular interest in the area of probability and stochastic process. The challenge of solving maths problem never discouraged her from learning mathematics but rather brought her a significant sense of rewarding when she managed to conquer the challenge. She has presented her research within the area of sustainability and environmental impact in a 15-minute oral presentation at International Conference for Undergraduate Research (ICUR). This work provided her an opportunity to gain knowledge of the research process and has developed her presentation skill.

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