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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 24 / No. 1: Twenty-Fourth AAAI Conference on Artificial Intelligence

An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games

March 8, 2023

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Authors

Andriy Burkov

Laval University


Brahim Chaib-draa

Laval University


DOI:

10.1609/aaai.v24i1.7623


Abstract:

This paper presents a technique for approximating, up to any precision, the set of subgame-perfect equilibria (SPE) in repeated games with discounting. The process starts with a single hypercube approximation of the set of SPE payoff profiles. Then the initial hypercube is gradually partitioned on to a set of smaller adjacent hypercubes, while those hypercubes that cannot contain any SPE point are gradually withdrawn. Whether a given hypercube can contain an equilibrium point is verified by an appropriate mixed integer program. A special attention is paid to the question of extracting players' strategies and their representability in form of finite automata.

Topics: AAAI

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HOW TO CITE:

Andriy Burkov|| Brahim Chaib-draa An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games Proceedings of the AAAI Conference on Artificial Intelligence, 24 (2010) 729.

Andriy Burkov|| Brahim Chaib-draa An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games AAAI 2010, 729.

Andriy Burkov|| Brahim Chaib-draa (2010). An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games. Proceedings of the AAAI Conference on Artificial Intelligence, 24, 729.

Andriy Burkov|| Brahim Chaib-draa. An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games. Proceedings of the AAAI Conference on Artificial Intelligence, 24 2010 p.729.

Andriy Burkov|| Brahim Chaib-draa. 2010. An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games. "Proceedings of the AAAI Conference on Artificial Intelligence, 24". 729.

Andriy Burkov|| Brahim Chaib-draa. (2010) "An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games", Proceedings of the AAAI Conference on Artificial Intelligence, 24, p.729

Andriy Burkov|| Brahim Chaib-draa, "An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games", AAAI, p.729, 2010.

Andriy Burkov|| Brahim Chaib-draa. "An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games". Proceedings of the AAAI Conference on Artificial Intelligence, 24, 2010, p.729.

Andriy Burkov|| Brahim Chaib-draa. "An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games". Proceedings of the AAAI Conference on Artificial Intelligence, 24, (2010): 729.

Andriy Burkov|| Brahim Chaib-draa. An Approximate Subgame-Perfect Equilibrium Computation Technique for Repeated Games. AAAI[Internet]. 2010[cited 2023]; 729.


ISSN: 2374-3468


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