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Modern reinforcement learning (RL) commonly engages practical problems with large state spaces, where function approximation must be deployed to approximate either the value function or the policy. While recent progresses in RL theory…

Machine Learning · Computer Science 2021-10-14 Chi Jin , Qinghua Liu , Tiancheng Yu

We consider a one-sided assignment market or exchange network with transferable utility and propose a model for the dynamics of bargaining in such a market. Our dynamical model is local, involving iterative updates of 'offers' based on…

Computer Science and Game Theory · Computer Science 2015-03-14 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Yashodhan Kanoria , Andrea Montanari

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

Agents care not only about the outcomes of collective decisions but also about how decisions are made. In many cases, both the outcome and the procedure affect whether agents see a decision as legitimate, justifiable, or acceptable. We…

Computer Science and Game Theory · Computer Science 2023-10-12 Ben Abramowitz , Nicholas Mattei

An open problem in linear quadratic (LQ) games has been characterizing the Nash equilibria. This problem has renewed relevance given the surge of work on understanding the convergence of learning algorithms in dynamic games. This paper…

Computer Science and Game Theory · Computer Science 2025-04-18 Giulio Salizzoni , Reda Ouhamma , Maryam Kamgarpour

We study the power of (competitive) algorithms with predictions in a multiagent setting. We introduce a two predictor framework, that assumes that agents use one predictor for their future (self) behavior, and one for the behavior of the…

Multiagent Systems · Computer Science 2025-07-18 Gabriel Istrate , Cosmin Bonchis , Victor Bogdan

We study a full implementation problem with a state unknown to the designer but known to agents, where agents have uncertain evidence privately drawn from state-dependent distributions. Stochastic evidence enables ``perfect deceptions,''…

Theoretical Economics · Economics 2025-08-07 Soumen Banerjee , Yi-Chun Chen

We study private-good allocation under general constraints. Several prominent examples are special cases, including house allocation, roommate matching, social choice, and multiple assignment. Every individually strategy-proof and Pareto…

Theoretical Economics · Economics 2025-11-04 Joseph Root , David S. Ahn

We initiate a novel direction in randomized social choice by proposing a new definition of agent utility for randomized outcomes. Each agent has a preference over all outcomes and a {\em quantile} parameter. Given a {\em lottery} over the…

Computer Science and Game Theory · Computer Science 2026-03-03 Ioannis Caragiannis , Fabian Frank , Sanjukta Roy

In a 2017 paper, later presented at the Web and Internet Economics conference, titled ``Sequential Deliberation for Social Choice", the authors propose a mechanism in which a series of agents, are tasked to negotiate over a set of decisions…

Computer Science and Game Theory · Computer Science 2023-02-13 Gokul Dharan , Hunter Guru , Michael Sun

We study hidden-action principal-agent problems with multiple agents. Unlike previous work, we consider a general setting in which each agent has an arbitrary number of actions, and the joint action induces outcomes according to an…

Computer Science and Game Theory · Computer Science 2024-02-22 Federico Cacciamani , Martino Bernasconi , Matteo Castiglioni , Nicola Gatti

Existing multi-agent reinforcement learning methods are limited typically to a small number of agents. When the agent number increases largely, the learning becomes intractable due to the curse of the dimensionality and the exponential…

Multiagent Systems · Computer Science 2020-12-16 Yaodong Yang , Rui Luo , Minne Li , Ming Zhou , Weinan Zhang , Jun Wang

This paper considers dyadic-exchange networks in which individual agents autonomously form coalitions of size two and agree on how to split a transferable utility. Valid results for this game include stable (if agents have no unilateral…

Optimization and Control · Mathematics 2014-06-04 Dean Richert , Jorge Cortes

Several multiagent reinforcement learning (MARL) algorithms have been proposed to optimize agents decisions. Due to the complexity of the problem, the majority of the previously developed MARL algorithms assumed agents either had some…

Machine Learning · Computer Science 2014-01-16 Sherief Abdallah , Victor Lesser

Nash Q-learning may be considered one of the first and most known algorithms in multi-agent reinforcement learning (MARL) for learning policies that constitute a Nash equilibrium of an underlying general-sum Markov game. Its original proof…

Machine Learning · Computer Science 2023-03-02 Pedro Cisneros-Velarde , Sanmi Koyejo

This paper investigates a class of mixed stochastic linear-quadratic-Gaussian (LQG) social optimization and Nash game in the context of a large scale system. Two types of interactive agents are involved: a major agent and a large number of…

Optimization and Control · Mathematics 2021-12-14 Xinwei Feng , Jianhui Huang , Zhenghong Qiu

Scheduling theory is an old and well-established area in combinatorial optimization, whereas the much younger area of parameterized complexity has only recently gained the attention of the community. Our aim is to bring these two areas…

Data Structures and Algorithms · Computer Science 2017-09-14 Danny Hermelin , Judith-Madeleine Kubitza , Dvir Shabtay , Nimrod Talmon , Gerhard Woeginger

What are the physical requirements for agency? We investigate whether a purely quantum system (one evolving unitarily in a coherent regime without decoherence or collapse) can satisfy three minimal conditions for agency: an agent must be…

Quantum Physics · Physics 2025-10-16 Emily C. Adlam , Kelvin J. McQueen , Mordecai Waegell

We introduce a new framework for multiagent decision-making in queueing systems that leverages the agility and robustness of nonlinear opinion dynamics to break indecision during queue selection and to capture the influence of social…

Optimization and Control · Mathematics 2026-03-31 Mallory E. Gaspard , Naomi Ehrich Leonard

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…

Computer Science and Game Theory · Computer Science 2018-09-05 Robin Nicole , Peter Sollich