Recorded 13 February 2025. Irem Portakal of the Max-Planck Institute for Mathematics in the Sciences presents "Combinatorics of equilibria in game theory" at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop. Abstract: Nash and correlated equilibria are topics of extensive research in economics and game theory. In this talk, we explore these classical notions using the framework of nonlinear algebra and convex geometry. In particular, we examine the set of correlated equilibria, which is a convex polytope in the probability simplex. We study its combinatorial types for small games and highlight potential future research directions. This is a joint work with Benjamin Hollering and Marie-Charlotte Brandenburg. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/computational-interactions-between-algebra-combinatorics-and-discrete-geometry/