I am a final year MSci student in Mathematics at Imperial College London. I am an ex-research intern of AROMATH team at Inria. My research interests lie in algebraic geometry, the keywords of my research are deformation theory, hilbert scheme (of points), moduli problems and computational algebraic geometry. I am currently working on my master thesis under Dr. Matt Booth, which focuses on deformation of algebraic schemes and applications to moduli problems (including hilbert schemes of points on specific varieties). Previously I worked on implicit representation of algebraic curves and surfaces via syzygy-based matrices with my supervisor Dr. Laurent Busé. I also contributed to the development of a Macaulay2 package on GameTheory.
We describe the GameTheory package version 1.0 for computing equilibria in game theory available since version 1.25.05 of Macaulay2. We briefly explain the four equilibrium notions, Nash, correlated, dependency, and conditional independence, and demonstrate their implementation in the package with examples.