| This signature work project delves into the approach of comparing strategic games. Our analysis builds on an established approach proposed by Naumov and Simonelli (2022) to compare the classes of zero-sum games and polymatrix games based on their pure strategy Nash equilibria. We further investigate the relationship between these two classes of games, aiming to find alternative proofs and extend them to include mixed-strategy Nash equilibria.
To fully grasp the significance of game theory, we provide an introduction and review of Nash equilibrium, typical classes of games, and the theorem of the existence of Nash equilibrium. This project is a perfect example of combining mathematical theoretical analysis with interdisciplinary understanding. We also explore applications of game theory in sociology and biology, emphasizing its significance in modeling social, economic, and biological phenomena. |
