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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 36 / No. 5: AAAI-22 Technical Tracks 5

Multi-Leader Congestion Games with an Adversary

February 1, 2023

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Authors

Tobias Harks

Augsburg University


Mona Henle

University of Applied Sciences


Max Klimm

Technische Universität Berlin


Jannik Matuschke

KU Leuven


Anja Schedel

Augsburg University


DOI:

10.1609/aaai.v36i5.20439


Abstract:

We study a multi-leader single-follower congestion game where multiple users (leaders) choose one resource out of a set of resources and, after observing the realized loads, an adversary (single-follower) attacks the resources with maximum loads causing additional costs for the leaders. For the resulting strategic game among the leaders, we show that pure Nash equilibria fail to exist and therefore, we consider approximate equilibria instead. As our first main result, we show that the existence of a K-approximate equilibrium can always be guaranteed, where K (approximately equal to 1.1974) is the unique solution of a cubic polynomial equation. To this end, we give a polynomial time combinatorial algorithm which computes a K-approximate equilibrium. The factor K is tight, meaning that there is an instance that does not admit an A-approximate equilibrium for any A < K. Thus A = K is the smallest possible value of A such that the existence of an A-approximate equilibrium can be guaranteed for any instance of the considered game. Secondly, we focus on approximate equilibria of a given fixed instance. We show how to compute efficiently a best approximate equilibrium, that is, with smallest possible A among all A-approximate equilibria of the given instance.

Topics: AAAI

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HOW TO CITE:

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel Multi-Leader Congestion Games with an Adversary Proceedings of the AAAI Conference on Artificial Intelligence (2022) 5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel Multi-Leader Congestion Games with an Adversary AAAI 2022, 5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel (2022). Multi-Leader Congestion Games with an Adversary. Proceedings of the AAAI Conference on Artificial Intelligence, 5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel. Multi-Leader Congestion Games with an Adversary. Proceedings of the AAAI Conference on Artificial Intelligence 2022 p.5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel. 2022. Multi-Leader Congestion Games with an Adversary. "Proceedings of the AAAI Conference on Artificial Intelligence". 5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel. (2022) "Multi-Leader Congestion Games with an Adversary", Proceedings of the AAAI Conference on Artificial Intelligence, p.5068-5075

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel, "Multi-Leader Congestion Games with an Adversary", AAAI, p.5068-5075, 2022.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel. "Multi-Leader Congestion Games with an Adversary". Proceedings of the AAAI Conference on Artificial Intelligence, 2022, p.5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel. "Multi-Leader Congestion Games with an Adversary". Proceedings of the AAAI Conference on Artificial Intelligence, (2022): 5068-5075.

Tobias Harks||Mona Henle||Max Klimm||Jannik Matuschke||Anja Schedel. Multi-Leader Congestion Games with an Adversary. AAAI[Internet]. 2022[cited 2023]; 5068-5075.


ISSN: 2374-3468


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