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Related papers: Game-theoretic Occlusion-Aware Motion Planning: an…

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Planning safe robot motions in the presence of humans requires reliable forecasts of future human motion. However, simply predicting the most likely motion from prior interactions does not guarantee safety. Such forecasts fail to model the…

Artificial Intelligence · Computer Science 2023-10-23 Kushal Kedia , Prithwish Dan , Sanjiban Choudhury

Interaction-aware trajectory planning is crucial for closing the gap between autonomous racing cars and human racing drivers. Prior work has applied game theory as it provides equilibrium concepts for non-cooperative dynamic problems. With…

Robotics · Computer Science 2024-02-06 Matthias Rowold , Alexander Langmann , Boris Lohmann , Johannes Betz

This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

Optimization and Control · Mathematics 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However,…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Yue Guan , Dipankar Maity , Christopher M. Kroninger , Panagiotis Tsiotras

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 theoretical framework for modeling scenarios involving multiple…

We study the class of reach-avoid dynamic games in which multiple agents interact noncooperatively, and each wishes to satisfy a distinct target criterion while avoiding a failure criterion. Reach-avoid games are commonly used to express…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Dennis R. Anthony , Duy P. Nguyen , David Fridovich-Keil , Jaime F. Fisac

Interacting with human agents in complex scenarios presents a significant challenge for robotic navigation, particularly in environments that necessitate both collision avoidance and collaborative interaction, such as indoor spaces. Unlike…

Robotics · Computer Science 2024-11-07 Lingfeng Sun , Yixiao Wang , Pin-Yun Hung , Changhao Wang , Xiang Zhang , Zhuo Xu , Masayoshi Tomizuka

The evolution of existing transportation systems,mainly driven by urbanization and increased availability of mobility options, such as private, profit-maximizing ride-hailing companies, calls for tools to reason about their design and…

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

Robotics · Computer Science 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

In multi-agent settings, game theory is a natural framework for describing the strategic interactions of agents whose objectives depend upon one another's behavior. Trajectory games capture these complex effects by design. In competitive…

Computer Science and Game Theory · Computer Science 2022-05-04 Lasse Peters , David Fridovich-Keil , Laura Ferranti , Cyrill Stachniss , Javier Alonso-Mora , Forrest Laine

Cooperatively planning for multiple agents has been proposed as a promising method for strategic and motion planning for automated vehicles. By taking into account the intent of every agent, the ego agent can incorporate future interactions…

Robotics · Computer Science 2021-10-01 Tobias Kessler , Klemens Esterle , Alois Knoll

We present an efficient algorithm to compute the explicit open-loop solution to both finite and infinite-horizon dynamic games subject to state and input constraints. Our approach relies on a multiparametric affine variational inequality…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Emilio Benenati , Giuseppe Belgioioso

In adversarial settings, a mobile agent may strategically plan its motion to influence an opponent's inference about its intended goal. We study deceptive path planning in a scenario where a mobile agent aims to reach a privately selected…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Violetta Rostobaya , Yue Guan , James Berneburg , Daigo Shishika

The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function. However, in real situations, the strategic environment varies as a result of past…

Computer Science and Game Theory · Computer Science 2022-07-15 Brandon C. Collins , Shouhuai Xu , Philip N. Brown

Path planning is a fundamental and extensively explored problem in robotic control. We present a novel economic perspective on path planning. Specifically, we investigate strategic interactions among path planning agents using a game…

Multiagent Systems · Computer Science 2019-10-31 Yi Li , Yevgeniy Vorobeychik

To be successful in multi-player drone racing, a player must not only follow the race track in an optimal way, but also compete with other drones through strategic blocking, faking, and opportunistic passing while avoiding collisions. Since…

Most algorithmic studies on multi-agent information design so far have focused on the restricted situation with no inter-agent externalities; a few exceptions investigated truly strategic games such as zero-sum games and second-price…

Computer Science and Game Theory · Computer Science 2022-09-07 Chenghan Zhou , Thanh H. Nguyen , Haifeng Xu

We introduce Contested Logistics Games, a variant of logistics problems that account for the presence of an adversary that can disrupt the movement of goods in selected areas. We model this as a large two-player zero-sum one-shot game…

Computer Science and Game Theory · Computer Science 2024-08-26 Jakub Cerny , Chun Kai Ling , Darshan Chakrabarti , Jingwen Zhang , Gabriele Farina , Christian Kroer , Garud Iyengar

We consider a class of multi-robot motion planning problems where each robot is associated with multiple objectives and decoupled task specifications. The problems are formulated as an open-loop non-cooperative differential game. A…

Multiagent Systems · Computer Science 2014-02-18 Minghui Zhu , Michael Otte , Pratik Chaudhari , Emilio Frazzoli

We examine the routing problem for self-interested vehicles using stochastic decision strategies. By approximating the road latency functions and a non-linear variable transformation, we frame the problem as an aggregative game. We…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Emilio Benenati , Sergio Grammatico