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We propose an adaptive incentive mechanism that learns the optimal incentives in environments where players continuously update their strategies. Our mechanism updates incentives based on each player's externality, defined as the difference…

计算机科学与博弈论 · 计算机科学 2025-03-04 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

Recent analyses of certain gradient descent optimization methods have shown that performance can degrade in some settings - such as with stochasticity or implicit momentum. In deep reinforcement learning (Deep RL), such optimization methods…

机器学习 · 计算机科学 2018-10-08 Peter Henderson , Joshua Romoff , Joelle Pineau

We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational…

最优化与控制 · 数学 2024-11-14 Tatiana Tatarenko , Maryam Kamgarpour

We consider the problem of learning Nash equilibrial policies for two-player risk-sensitive collision-avoiding interactions. Solving the Hamilton-Jacobi-Isaacs equations of such general-sum differential games in real time is an open…

机器人学 · 计算机科学 2025-03-21 Lei Zhang , Siddharth Das , Tanner Merry , Wenlong Zhang , Yi Ren

We study the distribution of strategies in a large game that models how agents choose among different double auction markets. We classify the possible mean field Nash equilibria, which include potentially segregated states where an agent…

计算机科学与博弈论 · 计算机科学 2018-09-05 Robin Nicole , Peter Sollich

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

计算机科学与博弈论 · 计算机科学 2024-08-16 S. Rasoul Etesami , R. Srikant

Understanding the convergence landscape of multi-agent learning is a fundamental problem of great practical relevance in many applications of artificial intelligence and machine learning. While it is known that learning dynamics converge to…

计算机科学与博弈论 · 计算机科学 2025-03-21 Martin Bichler , Davide Legacci , Panayotis Mertikopoulos , Matthias Oberlechner , Bary Pradelski

Multi-agent reinforcement learning (MARL) is increasingly used to design learning-enabled agents that interact in shared environments. However, training MARL algorithms in general-sum games remains challenging: learning dynamics can become…

机器学习 · 计算机科学 2026-04-07 Addison Kalanther , Sanika Bharvirkar , Shankar Sastry , Chinmay Maheshwari

We propose a new variant of the strategic classification problem: a principal reveals a classifier, and $n$ agents report their (possibly manipulated) features to be classified. Motivated by real-world applications, our model crucially…

计算机科学与博弈论 · 计算机科学 2025-02-28 Safwan Hossain , Evi Micha , Yiling Chen , Ariel Procaccia

We study the existence and computation of Nash equilibria in concave games where the players' admissible strategies are subject to shared coupling constraints. Under playerwise concavity of constraints, we prove existence of Nash…

计算机科学与博弈论 · 计算机科学 2026-02-09 Philip Jordan , Maryam Kamgarpour

We consider quadratic, nonmonotone generalized Nash equilibrium problems with symmetric interactions among the agents. Albeit this class of games is known to admit a potential function, its formal expression can be unavailable in several…

最优化与控制 · 数学 2022-03-31 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

In this paper we focus on noncooperative games with uncertain constraints coupling the agents' decisions. We consider a setting where bounded deviations of agents' decisions from the equilibrium are possible, and uncertain constraints are…

最优化与控制 · 数学 2023-11-28 George Pantazis , Filiberto Fele , Kostas Margellos

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

最优化与控制 · 数学 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

This paper presents a multi-agent reinforcement learning algorithm to represent strategic bidding behavior in freight transport markets. Using this algorithm, we investigate whether feasible market equilibriums arise without any central…

机器学习 · 计算机科学 2021-02-19 Wouter van Heeswijk

We investigate both stationary and time-varying, nonmonotone generalized Nash equilibrium problems that exhibit symmetric interactions among the agents, which are known to be potential. As may happen in practical cases, however, we envision…

最优化与控制 · 数学 2024-07-09 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

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…

最优化与控制 · 数学 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

We consider an improper reinforcement learning setting where a learner is given $M$ base controllers for an unknown Markov decision process, and wishes to combine them optimally to produce a potentially new controller that can outperform…

机器学习 · 计算机科学 2021-07-06 Mohammadi Zaki , Avinash Mohan , Aditya Gopalan , Shie Mannor

Ample empirical evidence in deep neural network training suggests that a variety of optimizers tend to find nearly global optima. In this article, we adopt the reversed perspective that convergence to an arbitrary point is assumed rather…

机器学习 · 计算机科学 2025-10-13 Jerome Bolte , Quoc-Tung Le , Edouard Pauwels

Artificially intelligent agents are increasingly being integrated into human decision-making: from large language model (LLM) assistants to autonomous vehicles. These systems often optimize their individual objective, leading to conflicts,…