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This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

机器学习 · 统计学 2018-06-07 Xingyu Wang , Diego Klabjan

This paper aims to connect epistemic and behavioral game theory by examining the epistemic foundations of quantal response equilibrium (QRE) in static games. We focus on how much information agents possess about the probability…

理论经济学 · 经济学 2024-03-14 Shuige Liu , Fabio Maccheroni

Mean-field games arise in various fields including economics, engineering, and machine learning. They study strategic decision making in large populations where the individuals interact via certain mean-field quantities. The ground metrics…

最优化与控制 · 数学 2020-07-23 Lisang Ding , Wuchen Li , Stanley Osher , Wotao Yin

Solving feedback Stackelberg games with nonlinear dynamics and coupled constraints, a common scenario in practice, presents significant challenges. This work introduces an efficient method for computing approximate local feedback…

最优化与控制 · 数学 2025-04-03 Jingqi Li , Somayeh Sojoudi , Claire Tomlin , David Fridovich-Keil

Mean field games (MFGs) tractably model behavior in large agent populations. The literature on learning MFG equilibria typically focuses on finding Nash equilibria (NE), which assume perfectly rational agents and are hence implausible in…

计算机科学与博弈论 · 计算机科学 2025-01-31 Yannick Eich , Christian Fabian , Kai Cui , Heinz Koeppl

Finding equilibria via gradient play in competitive multi-agent games has been attracting a growing amount of attention in recent years, with emphasis on designing efficient strategies where the agents operate in a decentralized and…

计算机科学与博弈论 · 计算机科学 2022-11-17 Ruicheng Ao , Shicong Cen , Yuejie Chi

This paper presents a method for solving the Inverse Stochastic Differential Game (ISDG) problem in finite-horizon linear-quadratic Gaussian (LQG) differential games. The objective is to recover cost function parameters of all players, as…

系统与控制 · 电气工程与系统科学 2026-04-29 Lucas Günther , Felix Thömmes , Karl Handwerker , Balint Varga , Sören Hohmann

In this work, we propose a novel inverse reinforcement learning (IRL) algorithm for constrained Markov decision process (CMDP) problems. In standard IRL problems, the inverse learner or agent seeks to recover the reward function of the MDP,…

机器学习 · 计算机科学 2024-01-08 Nirjhar Das , Arpan Chattopadhyay

The theory of integral quadratic constraints (IQCs) allows the certification of exponential convergence of interconnected systems containing nonlinear or uncertain elements. In this work, we adapt the IQC theory to study first-order methods…

最优化与控制 · 数学 2021-04-28 Guodong Zhang , Xuchan Bao , Laurent Lessard , Roger Grosse

The goal of the Inverse reinforcement learning (IRL) task is to identify the underlying reward function and the corresponding optimal policy from a set of expert demonstrations. While most IRL algorithms' theoretical guarantees rely on a…

机器学习 · 统计学 2025-03-25 Ruijia Zhang , Siliang Zeng , Chenliang Li , Alfredo Garcia , Mingyi Hong

We obtain global, non-asymptotic convergence guarantees for independent learning algorithms in competitive reinforcement learning settings with two agents (i.e., zero-sum stochastic games). We consider an episodic setting where in each…

机器学习 · 计算机科学 2021-01-13 Constantinos Daskalakis , Dylan J. Foster , Noah Golowich

In this paper we investigate the Follow the Regularized Leader dynamics in sequential imperfect information games (IIG). We generalize existing results of Poincar\'e recurrence from normal-form games to zero-sum two-player imperfect…

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…

最优化与控制 · 数学 2025-12-04 Gehui Xu , Kaiwen Chen , Thomas Parisini , Andreas A. Malikopoulos

In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for…

系统与控制 · 电气工程与系统科学 2025-04-25 Seyed Yousef Soltanian , Wenlong Zhang

Current fault-tolerant quantum compilers allocate error budgets uniformly during resource estimation, causing suboptimal physical resource overhead. We optimize this allocation using a potential game formulation, where Nash Equilibrium…

量子物理 · 物理学 2026-04-20 Asif Akhtab Ronggon , Tasnuva Farheen

Infinitely repeated games support equilibrium concepts beyond those present in one-shot games (e.g., cooperation in the prisoner's dilemma). Nonetheless, repeated games fail to capture our real-world intuition for settings with many…

计算机科学与博弈论 · 计算机科学 2025-05-22 Henry Fleischmann , Kiriaki Fragkia , Ratip Emin Berker

In inverse reinforcement learning (IRL), a learning agent infers a reward function encoding the underlying task using demonstrations from experts. However, many existing IRL techniques make the often unrealistic assumption that the agent…

机器学习 · 计算机科学 2023-01-04 Franck Djeumou , Christian Ellis , Murat Cubuktepe , Craig Lennon , Ufuk Topcu

Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is generalized to include entangled quantum…

In adversarial environments, one side could gain an advantage by identifying the opponent's strategy. For example, in combat games, if an opponents strategy is identified as overly aggressive, one could lay a trap that exploits the…

机器学习 · 计算机科学 2021-08-03 Mark Rucker , Stephen Adams , Roy Hayes , Peter A. Beling

We consider a setting for Inverse Reinforcement Learning (IRL) where the learner is extended with the ability to actively select multiple environments, observing an agent's behavior on each environment. We first demonstrate that if the…

人工智能 · 计算机科学 2016-01-26 Kareem Amin , Satinder Singh