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Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

计算机科学与博弈论 · 计算机科学 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden

Two-sided matching markets, environments in which two disjoint groups of agents seek to partner with one another, arise in several contexts. In static, centralized markets where agents know their preferences, standard algorithms can yield a…

计算机科学与博弈论 · 计算机科学 2025-04-08 Vade Shah , Bryce L. Ferguson , Jason R. Marden

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

最优化与控制 · 数学 2022-04-06 Yuanhanqing Huang , Jianghai Hu

We study the problem of online learning in competitive settings in the context of two-sided matching markets. In particular, one side of the market, the agents, must learn about their preferences over the other side, the firms, through…

人工智能 · 计算机科学 2022-06-07 Chinmay Maheshwari , Eric Mazumdar , Shankar Sastry

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

系统与控制 · 电气工程与系统科学 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

We study decentralized equilibrium selection in stochastic games under severe information and communication constraints. In such settings, convergence to equilibrium alone is insufficient, as stochastic games typically admit many equilibria…

计算机科学与博弈论 · 计算机科学 2026-02-16 Seref Taha Kiremitci , Ahmed Said Donmez , Muhammed O. Sayin

We study dynamic decentralized two-sided matching in which players may encounter unanticipated experiences. As they become aware of these experiences, they may change their preferences over players on the other side of the market.…

理论经济学 · 经济学 2025-05-14 Burkhard C. Schipper , Tina Danting Zhang

This paper addresses the problem of learning an equilibrium efficiently in general-sum Markov games through decentralized multi-agent reinforcement learning. Given the fundamental difficulty of calculating a Nash equilibrium (NE), we…

机器学习 · 计算机科学 2022-02-01 Weichao Mao , Tamer Başar

In this paper, we examine the long-run behavior of regularized, no-regret learning in finite games. A well-known result in the field states that the empirical frequencies of no-regret play converge to the game's set of coarse correlated…

计算机科学与博弈论 · 计算机科学 2023-11-07 Victor Boone , Panayotis Mertikopoulos

Decentralized online learning for seeking generalized Nash equilibrium (GNE) of noncooperative games in dynamic environments is studied in this paper. Each player aims at selfishly minimizing its own time-varying cost function subject to…

最优化与控制 · 数学 2021-05-14 Min Meng , Xiuxian Li , Yiguang Hong , Jie Chen , Long Wang

We study a subclass of $n$-player stochastic games, namely, stochastic games with independent chains and unknown transition matrices. In this class of games, players control their own internal Markov chains whose transitions do not depend…

计算机科学与博弈论 · 计算机科学 2023-12-05 Tiancheng Qin , S. Rasoul Etesami

We study two-sided matching markets in which one side of the market (the players) does not have a priori knowledge about its preferences for the other side (the arms) and is required to learn its preferences from experience. Also, we assume…

机器学习 · 计算机科学 2021-06-23 Lydia T. Liu , Feng Ruan , Horia Mania , Michael I. Jordan

Consider a strongly monotone game where the players' utility functions include a reward function and a linear term for each dimension, with coefficients that are controlled by the manager. Gradient play converges to a unique Nash…

多智能体系统 · 计算机科学 2026-02-25 Siddharth Chandak , Ilai Bistritz , Nicholas Bambos

There are only a few learning algorithms applicable to stochastic dynamic teams and games which generalize Markov decision processes to decentralized stochastic control problems involving possibly self-interested decision makers. Learning…

最优化与控制 · 数学 2016-05-03 Gürdal Arslan , Serdar Yüksel

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

The literature on centralized matching markets often assumes that a true preference of each player is known to herself and fixed, but empirical evidence casts doubt on its plausibility. To circumvent the problem, we consider evolutionary…

理论经济学 · 经济学 2022-05-18 Hidemasa Ishii , Nariaki Nishino

We consider the problem of simultaneous learning in stochastic games with many players in the finite-horizon setting. While the typical target solution for a stochastic game is a Nash equilibrium, this is intractable with many players. We…

计算机科学与博弈论 · 计算机科学 2022-10-27 William Brown

We study uncoordinated matching markets with additional local constraints that capture, e.g., restricted information, visibility, or externalities in markets. Each agent is a node in a fixed matching network and strives to be matched to…

计算机科学与博弈论 · 计算机科学 2014-09-16 Martin Hoefer , Lisa Wagner

Distributed optimization and Nash equilibrium (NE) seeking problems have drawn much attention in the control community recently. This paper studies a class of non-cooperative games, known as N-cluster game, which subsumes both cooperative…

最优化与控制 · 数学 2023-03-01 Yipeng Pang , Guoqiang Hu

While in two-player zero-sum games the Nash equilibrium is a well-established prescriptive notion of optimal play, its applicability as a prescriptive tool beyond that setting is limited. Consequently, the study of decentralized learning…

计算机科学与博弈论 · 计算机科学 2021-09-17 Gabriele Farina , Andrea Celli , Tuomas Sandholm
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