Algebraic Game Theory (SoSe 25)

Max Planck Institute for Mathematics in the Sciences (G3 10 Lecture hall)

Lecturer: Irem Portakal
Exercise Sessions: Hands-on format with rotating leads by
Linda Hoyer, Elke Neuhaus, Irem Portakal, and Luca Sodomaco

To get the latest updates and the Zoom link, please register here.
After you register, you will receive an email for confirmation. The exercise sheets will be sent in the beginning of every week.
Lectures: Tuesdays, 11:00  - 12:30 and Exercise Sessions: Wednesdays, 13:30 - 15:00
Date/Topic References
April 29, 11:00 - A biased introduction to game theory
April 30, 13:30 - Exercise Session 1
  • M- J. Osborne. An introduction to game theory, 2004.
  • J. Nash. Non-cooperative games, 1951.
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    May 6, 11:00 - Nash equilibria I
    May 7, 13:30 - Exercise Session 2
  • B. Sturmfels. Solving systems of polynomial equations (Chapter 6), 2002.
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    May 13, 11:00 - Nash equilibria II
    May 14, 13:30 - Exercise Session 3
  • H. Abo, I. Portakal, L. Sodomaco. A vector bundle approach to Nash equilibria, 2025.
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    May 20, 11:00 - Correlated equilibria
    May 21, 13:30 - Exercise Session 4
  • R. Aumann. Correlated equilibrium as an expression of Bayesian rationality, 1987.
  • M. Brandenburg, B. Hollering, I. Portakal. Combinatorics of correlated equilibria, 2024.
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    May 27, 11:00 - Dependency equilibria I
    May 28, 13:30 - Exercise Session 5
  • W. Spohn. Dependency equilibria, 2007.
  • I. Portakal and B. Sturmfels. Geometry of dependency equilibria, 2022.
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    June 10, 11:00 - Dependency equilibria II
    June 11, 13:30 - Exercise Session 6
  • I. Portakal and D. Windisch. Dependency equilibria: Boundary cases and their real algebraic geometry, 2025.
  • A. Kidambi, E. Neuhaus, I. Portakal. Elliptic curves in game theory, 2025.
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    June 17, 11:00 - Conditional independence equilibria
    June 18, 13:30 - Exercise Session 7
  • I. Portakal and J. Sendra-Arranz. Game theory of undirected graphical models, 2025.
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    Code/Package

    GameTheory.m2 - a package to compute equilibria in game theory.
    HomotopyContinuation: Polynomial systems arising from Nash equilibria
    MATHREPO: A vector bundle approach to Nash equilibria
    MATHREPO: Combinatorics of correlated equilibria
    MATHREPO: Elliptic curves in game theory

    © Please do not distribute the lecture notes/exercise session shared during this lecture without my permission.