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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 6: AAAI-21 Technical Tracks 6

Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games

February 1, 2023

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Authors

Youzhi Zhang

Nanyang Technological University


Bo An

Nanyang Technological University


Jakub Černý

Nanyang Technological University


DOI:

10.1609/aaai.v35i6.16728


Abstract:

Computational game theory has many applications in the modern world in both adversarial situations and the optimization of social good. While there exist many algorithms for computing solutions in two-player interactions, finding optimal strategies in multiplayer interactions efficiently remains an open challenge. This paper focuses on computing the multiplayer Team-Maxmin Equilibrium with Coordination device (TMECor) in zero-sum extensive-form games. TMECor models scenarios when a team of players coordinates ex ante against an adversary. Such situations can be found in card games (e.g., in Bridge and Poker), when a team works together to beat a target player but communication is prohibited; and also in real world, e.g., in forest-protection operations, when coordinated groups have limited contact during interdicting illegal loggers. The existing algorithms struggle to find a TMECor efficiently because of their high computational costs. To compute a TMECor in larger games, we make the following key contributions: (1) we propose a hybrid-form strategy representation for the team, which preserves the set of equilibria; (2) we introduce a column-generation algorithm with a guaranteed finite-time convergence in the infinite strategy space based on a novel best-response oracle; (3) we develop an associated-representation technique for the exact representation of the multilinear terms in the best-response oracle; and (4) we experimentally show that our algorithm is several orders of magnitude faster than prior state-of-the-art algorithms in large games.

Topics: AAAI

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HOW TO CITE:

Youzhi Zhang||Bo An||Jakub Černý Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games Proceedings of the AAAI Conference on Artificial Intelligence (2021) 5813-5821.

Youzhi Zhang||Bo An||Jakub Černý Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games AAAI 2021, 5813-5821.

Youzhi Zhang||Bo An||Jakub Černý (2021). Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games. Proceedings of the AAAI Conference on Artificial Intelligence, 5813-5821.

Youzhi Zhang||Bo An||Jakub Černý. Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.5813-5821.

Youzhi Zhang||Bo An||Jakub Černý. 2021. Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games. "Proceedings of the AAAI Conference on Artificial Intelligence". 5813-5821.

Youzhi Zhang||Bo An||Jakub Černý. (2021) "Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games", Proceedings of the AAAI Conference on Artificial Intelligence, p.5813-5821

Youzhi Zhang||Bo An||Jakub Černý, "Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games", AAAI, p.5813-5821, 2021.

Youzhi Zhang||Bo An||Jakub Černý. "Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.5813-5821.

Youzhi Zhang||Bo An||Jakub Černý. "Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 5813-5821.

Youzhi Zhang||Bo An||Jakub Černý. Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games. AAAI[Internet]. 2021[cited 2023]; 5813-5821.


ISSN: 2374-3468


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