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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

Optimizing strategic decisions (a.k.a. computing equilibrium) is key to the success of many non-cooperative multi-agent applications. However, in many real-world situations, we may face the exact opposite of this game-theoretic problem --…

Computer Science and Game Theory · Computer Science 2022-10-05 Jibang Wu , Weiran Shen , Fei Fang , Haifeng Xu

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

Optimization and Control · Mathematics 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

Designing suitable reward functions for numerous interacting intelligent agents is challenging in real-world applications. Inverse reinforcement learning (IRL) in mean field games (MFGs) offers a practical framework to infer reward…

Machine Learning · Computer Science 2025-09-05 Yang Chen , Xiao Lin , Bo Yan , Libo Zhang , Jiamou Liu , Neset Özkan Tan , Michael Witbrock

A major challenge in multi-agent systems is that the system complexity grows dramatically with the number of agents as well as the size of their action spaces, which is typical in real world scenarios such as autonomous vehicles, robotic…

Optimization and Control · Mathematics 2022-08-31 Shicong Cen , Fan Chen , Yuejie Chi

Inverse reinforcement learning aims to infer the reward function that explains expert behavior observed through trajectories of state--action pairs. A long-standing difficulty in classical IRL is the non-uniqueness of the recovered reward:…

Machine Learning · Statistics 2025-12-09 Denis Belomestny , Alexey Naumov , Sergey Samsonov

This paper explores the use of Maximum Causal Entropy Inverse Reinforcement Learning (IRL) within the context of discrete-time stationary Mean-Field Games (MFGs) characterized by finite state spaces and an infinite-horizon,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Berkay Anahtarci , Can Deha Kariksiz , Naci Saldi

This work focuses on the entropy-regularized independent natural policy gradient (NPG) algorithm in multi-agent reinforcement learning. In this work, agents are assumed to have access to an oracle with exact policy evaluation and seek to…

Machine Learning · Computer Science 2024-05-07 Youbang Sun , Tao Liu , P. R. Kumar , Shahin Shahrampour

Inverse optimization seeks to recover unknown objective parameters from observed decisions, yet fundamental questions about when recovery is possible have received limited formal treatment. This paper develops a comprehensive theoretical…

Optimization and Control · Mathematics 2026-03-19 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

The Reflexive Game Theory (RGT) has been recently proposed by Vladimir Lefebvre to model behavior of individuals in groups. The goal of this study is to introduce the Inverse task. We consider methods of solution together with practical…

Multiagent Systems · Computer Science 2010-11-16 Sergey Tarasenko

Inverse reinforcement learning attempts to reconstruct the reward function in a Markov decision problem, using observations of agent actions. As already observed in Russell [1998] the problem is ill-posed, and the reward function is not…

Machine Learning · Computer Science 2021-11-09 Haoyang Cao , Samuel N. Cohen , Lukasz Szpruch

We propose a parametric family of measures of fairness in allocations of TU-cooperative games. Their definition is based on generalized Renyi Entropy, is related to the Cowell-Kuga generalized entropy indices in welfare economics, and aims…

Computer Science and Game Theory · Computer Science 2012-08-02 Cosmin Bonchis , Gabriel Istrate

In an inverse game problem, one needs to infer the cost function of the players in a game such that a desired joint strategy is a Nash equilibrium. We study the inverse game problem for a class of multiplayer matrix games, where the cost…

Computer Science and Game Theory · Computer Science 2022-10-17 Yue Yu , Jonathan Salfity , David Fridovich-Keil , Ufuk Topcu

We provide an original theoretical study of Inverse Reinforcement Learning (IRL) through the lens of reward compatibility, a novel framework to quantify the compatibility of a reward with the given expert's demonstrations. Intuitively, a…

Machine Learning · Computer Science 2025-01-15 Filippo Lazzati , Mirco Mutti , Alberto Metelli

Theory of Mind benchmarks for large language models typically produce aggregate scores without theoretical grounding, making it unclear whether high performance reflects strategic reasoning or surface-level heuristics. We introduce a…

Computer Science and Game Theory · Computer Science 2026-03-12 Mateo Pechon-Elkins , Jon Chun

We consider the maximum causal entropy inverse reinforcement learning (IRL) problem for infinite-horizon stationary mean-field games (MFG), in which we model the unknown reward function within a reproducing kernel Hilbert space (RKHS). This…

Machine Learning · Computer Science 2026-03-06 Berkay Anahtarci , Can Deha Kariksiz , Naci Saldi

Inverse reinforcement learning (IRL) aims to recover the reward function and the associated optimal policy that best fits observed sequences of states and actions implemented by an expert. Many algorithms for IRL have an inherently nested…

Machine Learning · Computer Science 2022-11-02 Siliang Zeng , Chenliang Li , Alfredo Garcia , Mingyi Hong

We provide new perspectives and inference algorithms for Maximum Entropy (MaxEnt) Inverse Reinforcement Learning (IRL), which provides a principled method to find a most non-committal reward function consistent with given expert…

Machine Learning · Computer Science 2021-06-08 Aaron J. Snoswell , Surya P. N. Singh , Nan Ye

In inverse reinforcement learning (IRL), the central objective is to infer underlying reward functions from observed expert behaviors in a way that not only explains the given data but also generalizes to unseen scenarios. This ensures…

Machine Learning · Computer Science 2023-10-19 Ali Baheri

Mean field games (MFGs) provide a mathematically tractable framework for modelling large-scale multi-agent systems by leveraging mean field theory to simplify interactions among agents. It enables applying inverse reinforcement learning…

Machine Learning · Computer Science 2025-12-02 Yang Chen , Libo Zhang , Jiamou Liu , Michael Witbrock
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