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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence

Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games

February 1, 2023

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Authors

Jan Karwowski

Warsaw University of Technology


Jacek Mańdziuk

Warsaw University of Technology


DOI:

10.1609/aaai.v34i02.5578


Abstract:

The paper presents a new method for approximating Strong Stackelberg Equilibrium in general-sum sequential games with imperfect information and perfect recall. The proposed approach is generic as it does not rely on any specific properties of a particular game model. The method is based on iterative interleaving of the two following phases: (1) guided Monte Carlo Tree Search sampling of the Follower's strategy space and (2) building the Leader's behavior strategy tree for which the sampled Follower's strategy is an optimal response. The above solution scheme is evaluated with respect to expected Leader's utility and time requirements on three sets of interception games with variable characteristics, played on graphs. A comparison with three state-of-the-art MILP/LP-based methods shows that in vast majority of test cases proposed simulation-based approach leads to optimal Leader's strategies, while excelling the competitive methods in terms of better time scalability and lower memory requirements.

Topics: AAAI

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HOW TO CITE:

Jan Karwowski||Jacek Mańdziuk Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games Proceedings of the AAAI Conference on Artificial Intelligence (2020) 2054-2061.

Jan Karwowski||Jacek Mańdziuk Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games AAAI 2020, 2054-2061.

Jan Karwowski||Jacek Mańdziuk (2020). Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games. Proceedings of the AAAI Conference on Artificial Intelligence, 2054-2061.

Jan Karwowski||Jacek Mańdziuk. Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games. Proceedings of the AAAI Conference on Artificial Intelligence 2020 p.2054-2061.

Jan Karwowski||Jacek Mańdziuk. 2020. Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games. "Proceedings of the AAAI Conference on Artificial Intelligence". 2054-2061.

Jan Karwowski||Jacek Mańdziuk. (2020) "Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games", Proceedings of the AAAI Conference on Artificial Intelligence, p.2054-2061

Jan Karwowski||Jacek Mańdziuk, "Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games", AAAI, p.2054-2061, 2020.

Jan Karwowski||Jacek Mańdziuk. "Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games". Proceedings of the AAAI Conference on Artificial Intelligence, 2020, p.2054-2061.

Jan Karwowski||Jacek Mańdziuk. "Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games". Proceedings of the AAAI Conference on Artificial Intelligence, (2020): 2054-2061.

Jan Karwowski||Jacek Mańdziuk. Double-Oracle Sampling Method for Stackelberg Equilibrium Approximation in General-Sum Extensive-Form Games. AAAI[Internet]. 2020[cited 2023]; 2054-2061.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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