Contingency games for multi-agent interaction

L Peters, A Bajcsy, CY Chiu… - IEEE Robotics and …, 2024 - ieeexplore.ieee.org
Contingency planning, wherein an agent generates a set of possible plans conditioned on
the outcome of an uncertain event, is an increasingly popular way for robots to act under …

Distributed potential ilqr: Scalable game-theoretic trajectory planning for multi-agent interactions

Z Williams, J Chen, N Mehr - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
In this work, we develop a scalable, local tra-jectory optimization algorithm that enables
robots to interact with other robots. It has been shown that agents' interactions can be …

Inferring objectives in continuous dynamic games from noise-corrupted partial state observations

L Peters, D Fridovich-Keil, V Rubies-Royo… - arXiv preprint arXiv …, 2021 - arxiv.org
Robots and autonomous systems must interact with one another and their environment to
provide high-quality services to their users. Dynamic game theory provides an expressive …

Learning to play trajectory games against opponents with unknown objectives

X Liu, L Peters, J Alonso-Mora - IEEE Robotics and Automation …, 2023 - ieeexplore.ieee.org
Many autonomous agents, such as intelligent vehicles, are inherently required to interact
with one another. Game theory provides a natural mathematical tool for robot motion …

Online and offline learning of player objectives from partial observations in dynamic games

L Peters, V Rubies-Royo, CJ Tomlin… - … Journal of Robotics …, 2023 - journals.sagepub.com
Robots deployed to the real world must be able to interact with other agents in their
environment. Dynamic game theory provides a powerful mathematical framework for …

Leadership inference for multi-agent interactions

HI Khan, D Fridovich-Keil - IEEE Robotics and Automation …, 2024 - ieeexplore.ieee.org
Effectively predicting intent and behavior requires inferring leadership in multi-agent
interactions. Dynamic games provide an expressive theoretical framework for modeling …

Cost inference for feedback dynamic games from noisy partial state observations and incomplete trajectories

J Li, CY Chiu, L Peters, S Sojoudi, C Tomlin… - arXiv preprint arXiv …, 2023 - arxiv.org
In multi-agent dynamic games, the Nash equilibrium state trajectory of each agent is
determined by its cost function and the information pattern of the game. However, the cost …

A sequential quadratic programming approach to the solution of open-loop generalized nash equilibria

EL Zhu, F Borrelli - 2023 IEEE International Conference on …, 2023 - ieeexplore.ieee.org
In this work, we propose a numerical method for the solution of local generalized Nash
equilibria (GNE) for the class of open-loop general-sum dynamic games for agents with …

Efficient constrained multi-agent interactive planning using constrained dynamic potential games

M Bhatt, A Yaraneri, N Mehr - arXiv preprint arXiv:2206.08963, 2022 - arxiv.org
Although dynamic games provide a rich paradigm for modeling agents' interactions, solving
these games for real-world applications is often challenging. Many real-wold interactive …

Mathematical program networks

F Laine - arXiv preprint arXiv:2404.03767, 2024 - arxiv.org
Mathematical Program Networks (MPNs) are introduced in this work. A MPN is a collection
of interdependent Mathematical Programs (MPs) which are to be solved simultaneously …