English

Successful Nash Equilibrium Agent for a 3-Player Imperfect-Information Game

Computer Science and Game Theory 2018-11-07 v1 Artificial Intelligence Multiagent Systems Theoretical Economics

Abstract

Creating strong agents for games with more than two players is a major open problem in AI. Common approaches are based on approximating game-theoretic solution concepts such as Nash equilibrium, which have strong theoretical guarantees in two-player zero-sum games, but no guarantees in non-zero-sum games or in games with more than two players. We describe an agent that is able to defeat a variety of realistic opponents using an exact Nash equilibrium strategy in a 3-player imperfect-information game. This shows that, despite a lack of theoretical guarantees, agents based on Nash equilibrium strategies can be successful in multiplayer games after all.

Keywords

Cite

@article{arxiv.1804.04789,
  title  = {Successful Nash Equilibrium Agent for a 3-Player Imperfect-Information Game},
  author = {Sam Ganzfried and Austin Nowak and Joannier Pinales},
  journal= {arXiv preprint arXiv:1804.04789},
  year   = {2018}
}
R2 v1 2026-06-23T01:22:29.533Z