The GameTheory package for Macaulay2
Erin Connelly, Vincenzo Galgano, Zhuang He, Giacomo Maletto, Elke Neuhaus, Irem Portakal, Hannah Tillmann-Morris, Chenyang Zhao
TL;DR
The paper introduces the GameTheory package for Macaulay2, enabling computation of various game equilibria including Nash, correlated, dependency, and conditional independence, with practical examples.
Contribution
It provides the first implementation of multiple game equilibrium notions within Macaulay2, facilitating computational game theory research.
Findings
Supports computation of Nash, correlated, dependency, and conditional independence equilibria
Includes practical examples demonstrating package capabilities
Enhances Macaulay2 for game theory applications
Abstract
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.
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Taxonomy
TopicsArtificial Intelligence in Games · Polynomial and algebraic computation