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Game-theoretic motion planners are a potent solution for controlling systems of multiple highly interactive robots. Most existing game-theoretic planners unrealistically assume a priori objective function knowledge is available to all…

Robotics · Computer Science 2024-10-28 Makram Chahine , Roya Firoozi , Wei Xiao , Mac Schwager , Daniela Rus

Batch reinforcement learning (RL) defines the task of learning from a fixed batch of data lacking exhaustive exploration. Worst-case optimality algorithms, which calibrate a value-function model class from logged experience and perform some…

Machine Learning · Statistics 2023-10-03 Wenzhuo Zhou , Annie Qu

This paper introduces the new concept of (follower) satisfaction in Stackelberg games and compares the standard Stackelberg game with its satisfaction version. Simulation results are presented which suggest that the follower adopting…

Computer Science and Game Theory · Computer Science 2024-08-22 Langford White , Duong Nguyen , Hung Nguyen

The ability to estimate human intentions and interact with human drivers intelligently is crucial for autonomous vehicles to successfully achieve their objectives. In this paper, we propose a game theoretic planning algorithm that models…

Robotics · Computer Science 2023-01-24 Siyu Dai , Sangjae Bae , David Isele

The pursuit-evasion game is studied for two adversarial active agents, modelled as a deterministic self-steering pursuer and a stochastic, cognitive evader. The pursuer chases the evader by reorienting its propulsion direction with limited…

Biological Physics · Physics 2026-05-29 Segun Goh , Dennis Haustein , Gerhard Gompper

As assembly tasks grow in complexity, collaboration among multiple robots becomes essential for task completion. However, centralized task planning has become inadequate for adapting to the increasing intelligence and versatility of robots,…

Robotics · Computer Science 2024-04-22 Yuhan Zhao , Lan Shi , Quanyan Zhu

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

Computer Science and Game Theory · Computer Science 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer

Trajectory planning involving multi-agent interactions has been a long-standing challenge in the field of robotics, primarily burdened by the inherent yet intricate interactions among agents. While game-theoretic methods are widely…

Robotics · Computer Science 2025-07-17 Zhenmin Huang , Yusen Xie , Benshan Ma , Shaojie Shen , Jun Ma

We study Stackelberg games where a principal repeatedly interacts with a non-myopic long-lived agent, without knowing the agent's payoff function. Although learning in Stackelberg games is well-understood when the agent is myopic, dealing…

Computer Science and Game Theory · Computer Science 2025-05-29 Nika Haghtalab , Thodoris Lykouris , Sloan Nietert , Alexander Wei

Estimating the unknown reward functions driving agents' behaviors is of central interest in inverse reinforcement learning and game theory. To tackle this problem, we develop a unified framework for reward function recovery in two-player…

Machine Learning · Computer Science 2026-05-20 Junyi Liao , Zihan Zhu , Ethan Fang , Zhuoran Yang , Vahid Tarokh

An insider is defined as a team member who covertly deviates from the team's optimal collaborative control strategy in pursuit of a private objective, while maintaining an outward appearance of cooperation. Such insider threats can severely…

Optimization and Control · Mathematics 2025-12-04 Gehui Xu , Kaiwen Chen , Thomas Parisini , Andreas A. Malikopoulos

Interdicting a criminal with limited police resources is a challenging task as the criminal changes location over time. The size of the large transportation network further adds to the difficulty of this scenario. To tackle this issue, we…

Artificial Intelligence · Computer Science 2026-04-08 Sukanya Samanta , Kei Kimura , Makoto Yokoo , Palash Dey

In this paper, we study inverse game theory (resp. inverse multiagent learning) in which the goal is to find parameters of a game's payoff functions for which the expected (resp. sampled) behavior is an equilibrium. We formulate these…

Computer Science and Game Theory · Computer Science 2025-02-21 Denizalp Goktas , Amy Greenwald , Sadie Zhao , Alec Koppel , Sumitra Ganesh

We present a method for active inference with partial observations in stochastic systems through incentive design, also known as the leader-follower game. Consider a leader agent who aims to infer a follower agent's type given a finite set…

Systems and Control · Electrical Eng. & Systems 2025-02-12 Xinyi Wei , Chongyang Shi , Shuo Han , Ahmed H. Hemida , Charles A. Kamhoua , Jie Fu

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

A growing body of work in game theory extends the traditional Stackelberg game to settings with one leader and multiple followers who play a Nash equilibrium. Standard approaches for computing equilibria in these games reformulate the…

Computer Science and Game Theory · Computer Science 2021-12-07 Kai Wang , Lily Xu , Andrew Perrault , Michael K. Reiter , Milind Tambe

This paper focuses on "tracing player knowledge" in educational games. Specifically, given a set of concepts or skills required to master a game, the goal is to estimate the likelihood with which the current player has mastery of each of…

Artificial Intelligence · Computer Science 2019-08-16 Pavan Kantharaju , Katelyn Alderfer , Jichen Zhu , Bruce Char , Brian Smith , Santiago Ontañón

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

Computer Science and Game Theory · Computer Science 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2015-03-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

Understanding how agents coordinate or compete from limited behavioral data is central to modeling strategic interactions in traffic, robotics, and other multi-agent systems. In this work, we investigate the following complementary…

Computer Science and Game Theory · Computer Science 2026-01-16 Daniela Aguirre Salazar , Firas Moatemri , Tatiana Tatarenko