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In this paper, we explore using deep reinforcement learning for problems with multiple agents. Most existing methods for deep multi-agent reinforcement learning consider only a small number of agents. When the number of agents increases,…

Machine Learning · Computer Science 2018-05-24 Arbaaz Khan , Clark Zhang , Daniel D. Lee , Vijay Kumar , Alejandro Ribeiro

Reinforcement learning has solid foundations, but becomes inefficient in partially observed (non-Markovian) environments. Thus, a learning agent -born with a representation and a policy- might wish to investigate to what extent the Markov…

Artificial Intelligence · Computer Science 2011-03-02 Gabor Matuz , Andras Lorincz

The effects of policy sharing between agents in a multi-agent dynamical system has not been studied extensively. I simulate a system of agents optimizing the same task using reinforcement learning, to study the effects of different…

Multiagent Systems · Computer Science 2008-12-10 Jake Ellowitz

We propose a multi-agent distributed reinforcement learning algorithm that balances between potentially conflicting short-term reward and sparse, delayed long-term reward, and learns with partial information in a dynamic environment. We…

Machine Learning · Computer Science 2022-04-06 Jing Tan , Ramin Khalili , Holger Karl

Societies are complex. Properties of social systems can be explained by the interplay and weaving of individual actions. Incentives are key to understand people's choices and decisions. For instance, individual preferences of where to live…

Physics and Society · Physics 2019-09-20 Egemen Sert , Yaneer Bar-Yam , Alfredo J. Morales

The Assignment problem is a fundamental and well-studied problem in the intersection of Social Choice, Computational Economics and Discrete Allocation. In the Assignment problem, a group of agents expresses preferences over a set of items,…

Data Structures and Algorithms · Computer Science 2021-05-24 Barak Steindl , Meirav Zehavi

Models of economic decision makers often include idealized assumptions, such as rationality, perfect foresight, and access to all relevant pieces of information. These assumptions often assure the models' internal validity, but, at the same…

General Economics · Economics 2021-07-09 Patrick Reinwald , Stephan Leitner , Friederike Wall

Many recent successful off-policy multi-agent reinforcement learning (MARL) algorithms for cooperative partially observable environments focus on finding factorized value functions, leading to convoluted network structures. Building on the…

Machine Learning · Computer Science 2023-10-27 Raphaël Avalos , Mathieu Reymond , Ann Nowé , Diederik M. Roijers

In tabular multi-agent reinforcement learning with average-cost criterion, a team of agents sequentially interacts with the environment and observes local incentives. We focus on the case that the global reward is a sum of local rewards,…

Optimization and Control · Mathematics 2021-10-26 Alec Koppel , Amrit Singh Bedi , Bhargav Ganguly , Vaneet Aggarwal

We study the problem of assigning indivisible objects to agents where each is to receive at most one. To ensure fairness in the absence of monetary compensation, we consider random assignments. Random Priority, also known as Random Serial…

Theoretical Economics · Economics 2025-06-24 Christian Basteck

We study the cooperative stochastic $k$-armed bandit problem, where a network of $m$ agents collaborate to find the optimal action. In contrast to most prior work on this problem, which focuses on extending a specific algorithm to the…

Machine Learning · Computer Science 2024-11-01 Benjamin Howson , Sarah Filippi , Ciara Pike-Burke

The key contribution of the paper is a comprehensive study of the egalitarian mechanism with respect to manipulation by a coalition of agents. Our main result is that the egalitarian mechanism is, in fact, peak group strategyproof : no…

Computer Science and Game Theory · Computer Science 2011-07-25 Shyam S Chandramouli , Jay Sethuraman

We make a detailed analysis of three key algorithms (Serial Dictatorship and the naive and adaptive variants of the Boston algorithm) for the housing allocation problem, under the assumption that agent preferences are chosen iid uniformly…

Theoretical Economics · Economics 2022-06-01 Geoffrey Pritchard , Mark C. Wilson

Combinatorial contracts are emerging as a key paradigm in algorithmic contract design, paralleling the role of combinatorial auctions in algorithmic mechanism design. In this paper we study natural combinatorial contract settings involving…

Computer Science and Game Theory · Computer Science 2024-05-15 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

We study a resource allocation problem with varying requests, and with resources of limited capacity shared by multiple requests. It is modeled as a set of heterogeneous Restless Multi-Armed Bandit Problems (RMABPs) connected by constraints…

Optimization and Control · Mathematics 2020-03-30 Jing Fu , Bill Moran , Peter G. Taylor

Roommate problems with convex preferences always have stable matchings. Efficiency and individual rationality are, moreover, compatible with strategyproofness in such convex roommate problems. Both of these results fail without the…

Theoretical Economics · Economics 2025-04-01 Sophie Bade

Several resource allocation problems involve multiple types of resources, with a different agency being responsible for "locally" allocating the resources of each type, while a central planner wishes to provide a guarantee on the properties…

Computer Science and Game Theory · Computer Science 2021-02-23 Sujoy Sikdar , Xiaoxi Guo , Haibin Wang , Lirong Xia , Yongzhi Cao

We consider the egalitarian welfare aspects of random assignment mechanisms when agents have unrestricted cardinal utilities over the objects. We give bounds on how well different random assignment mechanisms approximate the optimal…

Computer Science and Game Theory · Computer Science 2015-07-27 Haris Aziz , Jiashu Chen , Aris Filos-Ratsikas , Simon Mackenzie , Nicholas Mattei

The submodular maximization problem is widely applicable in many engineering problems where objectives exhibit diminishing returns. While this problem is known to be NP-hard for certain subclasses of objective functions, there is a greedy…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-01 Haoyuan Sun , David Grimsman , Jason R Marden

Let g be a strategy-proof rule on the domain NP of profiles where no alternative Pareto-dominates any other. Then we establish a result with a Gibbard-Satterthwaite flavor: g is dictatorial if its range contains at least three alternatives.

Combinatorics · Mathematics 2015-03-02 Donald E. Campbell , Jerry S. Kelly
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