Algebraic Game Theory

Algebraic Game Theory explores the interplay between algebraic structures and game theory, highlighting how tools from commutative algebra and algebraic geometry enhance the analysis of strategic interactions. Over the recent years, algebraic and geometric methods have emerged as a powerful framework for studying games, providing structural insights into equilibrium existence, multiplicity, stability, and computation. By encoding equilibrium conditions as polynomial systems, one can exploit algebro-geometric techniques to analyze solution sets, study degeneracies, and understand the global geometry of equilibria.

Topics include algebro-geometric and combinatorial representations of equilibria; polynomial systems arising from equilibrium conditions; convex geometry of equilibria; and symbolic computation for equilibrium sets. Particular emphasis will be placed on connections between algebraic geometry, convex geometry, and computational tools, as well as on applications to finite and structured games.

The mini-symposium aims to bring together researchers interested in the mathematical foundations of games, both algebraists and game theorists, and to showcase the role of algebraic geometry in modern game theory. By presenting recent advances alongside open problems, the minisymposium seeks to stimulate cross-disciplinary interaction and to promote further development of this rapidly evolving area.

Invited speakers

• • Fabrizio Germano, Universitat Pompeu Fabra Barcelona, Spain

  • Linda Hoyer, RWTH Aachen University, Germany

  • Sahar Jahani, London School of Economics and Political Science, United Kingdom

  • Elke Neuhaus, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

  • Lucas Pahl, University of Sheffield, United Kingdom

  • Javier Arranz Sendra, CUNEF Universidad Madrid, Spain

Organized by Irem Portakal and Maria Laura Torrente.

The EMW General Meeting will take place at the Mathematics Institute of the University of Warwick .