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The focus of this paper is a Bayesian framework for solving a class of problems termed multi-agent inverse reinforcement learning (MIRL). Compared to the well-known inverse reinforcement learning (IRL) problem, MIRL is formalized in the…

计算机科学与博弈论 · 计算机科学 2019-07-31 Xiaomin Lin , Peter A. Beling , Randy Cogill

A quantum game in the Eisert scheme is defined by the payoff matrix, plus some quantum entanglement parameters. In the symmetric nonzero-sum 2x2 games, the relevant features of the game are given by two parameters in the payoff matrix, and…

量子物理 · 物理学 2007-05-23 Álvaro Francisco Huertas-Rosero

A considerable chasm has been looming for decades between theory and practice in zero-sum game solving through first-order methods. Although a convergence rate of $T^{-1}$ has long been established, the most effective paradigm in practice…

计算机科学与博弈论 · 计算机科学 2026-02-18 Brian Hu Zhang , Ioannis Anagnostides , Tuomas Sandholm

Two main challenges in Reinforcement Learning (RL) are designing appropriate reward functions and ensuring the safety of the learned policy. To address these challenges, we present a theoretical framework for Inverse Reinforcement Learning…

机器学习 · 计算机科学 2023-06-02 Andreas Schlaginhaufen , Maryam Kamgarpour

Estimating discrete games of complete information is often computationally difficult due to partial identification and the absence of closed-form moment characterizations. This paper proposes computationally tractable approaches to…

计量经济学 · 经济学 2025-10-02 Paul S. Koh

Given a dataset of expert demonstrations, inverse reinforcement learning (IRL) aims to recover a reward for which the expert is optimal. This work proposes a model-free algorithm to solve entropy-regularized IRL problem. In particular, we…

机器学习 · 计算机科学 2025-03-04 Titouan Renard , Andreas Schlaginhaufen , Tingting Ni , Maryam Kamgarpour

In this paper, we introduce a bilevel optimization framework for addressing inverse mean-field games, alongside an exploration of numerical methods tailored for this bilevel problem. The primary benefit of our bilevel formulation lies in…

最优化与控制 · 数学 2024-11-13 Jiajia Yu , Quan Xiao , Tianyi Chen , Rongjie Lai

We develop an Integral Transformation Method (ITM) for the study of suitable optimal control and differential game models. This allows for a solution to such dynamic problems to be found through solving a family of optimization problems…

We consider the inverse problem of dynamic games, where cost function parameters are sought which explain observed behavior of interacting players. Maximum entropy inverse reinforcement learning is extended to the N-player case in order to…

系统与控制 · 电气工程与系统科学 2020-07-27 Jairo Inga , Esther Bischoff , Florian Köpf , Sören Hohmann

Deep models trained through maximum likelihood have achieved state-of-the-art results for survival analysis. Despite this training scheme, practitioners evaluate models under other criteria, such as binary classification losses at a chosen…

机器学习 · 计算机科学 2022-02-01 Xintian Han , Mark Goldstein , Aahlad Puli , Thomas Wies , Adler J Perotte , Rajesh Ranganath

We revisit the problem of learning in two-player zero-sum Markov games, focusing on developing an algorithm that is uncoupled, convergent, and rational, with non-asymptotic convergence rates. We start from the case of stateless matrix game…

计算机科学与博弈论 · 计算机科学 2023-11-10 Yang Cai , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

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…

计算机科学与博弈论 · 计算机科学 2015-03-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

In this paper, we address the inverse problem for linear-quadratic differential non-cooperative games with output-feedback. Given players' stabilizing feedback laws, the goal is to find cost function parameters that lead to a game for which…

最优化与控制 · 数学 2024-10-27 Emin Martirosyan , Ming Cao

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…

计算机科学与博弈论 · 计算机科学 2026-01-16 Daniela Aguirre Salazar , Firas Moatemri , Tatiana Tatarenko

Inverse game theory is utilized to infer the cost functions of all players based on game outcomes. However, existing inverse game theory methods do not consider the learner as an active participant in the game, which could significantly…

计算机科学与博弈论 · 计算机科学 2025-10-20 Jianguo Chen , Jinlong Lei , Biqiang Mu , Yiguang Hong , Hongsheng Qi

The recent mean field game (MFG) formalism has enabled the application of inverse reinforcement learning (IRL) methods in large-scale multi-agent systems, with the goal of inferring reward signals that can explain demonstrated behaviours of…

机器学习 · 计算机科学 2022-02-15 Yang Chen , Libo Zhang , Jiamou Liu , Shuyue Hu

Inverse reinforcement learning (IRL) aims to infer rewards from observed behavior, but rewards are not identified from the policy alone: many reward--value pairs can rationalize the same actions. Meaningful reward recovery therefore…

机器学习 · 计算机科学 2026-05-11 Lars van der Laan , Nathan Kallus , Aurelien Bibaut

$ $This paper addresses the inverse problem for Linear-Quadratic (LQ) nonzero-sum $N$-player differential games, where the goal is to learn parameters of an unknown cost function for the game, called observed, given the demonstrated…

最优化与控制 · 数学 2024-10-28 Emin Martirosyan , Ming Cao

This article presents a new game semantics for Martin-L\"of type theory (MLTT), in which each game is equipped with selected isomorphism strategies that represent (computational) proofs for (intensional) equality between strategies on the…

计算机科学中的逻辑 · 计算机科学 2017-05-04 Norihiro Yamada

We tackle a fundamental problem in empirical game-theoretic analysis (EGTA), that of learning equilibria of simulation-based games. Such games cannot be described in analytical form; instead, a black-box simulator can be queried to obtain…

计算机科学与博弈论 · 计算机科学 2019-06-03 Enrique Areyan Viqueira , Cyrus Cousins , Eli Upfal , Amy Greenwald