Communication Dans Un Congrès Année : 2025

Approximate solutions to games of ordered preference

Résumé

Autonomous vehicles must balance ranked objectives, such as minimizing travel time, ensuring safety, and coordinating with traffic. Games of ordered preference effectively model these interactions but become computationally intractable as the time horizon, number of players, or number of preference levels increase. While receding horizon frameworks mitigate long-horizon intractability by solving sequential shorter games, often warm-started, they do not resolve the complexity growth inherent in existing methods for solving games of ordered preference. This paper introduces a solution strategy that avoids excessive complexity growth by approximating solutions using lexicographic iterated best response (IBR) in receding horizon, termed “lexicographic IBR over time.” Lexicographic IBR over time uses past information to accelerate convergence. We demonstrate through simulated traffic scenarios that lexicographic IBR over time efficiently computes approximate-optimal solutions for receding horizon games of ordered preference, converging towards generalized Nash equilibria.

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hal-05565712 , version 1 (25-03-2026)

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Pau de las Heras Molins, Eric Roy-Almonacid, Dong Ho Lee, Lasse Peters, David Fridovich-Keil, et al.. Approximate solutions to games of ordered preference. IEEE International Conference on Intelligent Transportation Systems (ITSC 2025), Nov 2025, Gold Coast, Australia. pp.3378-3385, ⟨10.1109/ITSC60802.2025.11423775⟩. ⟨hal-05565712⟩
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