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Learning in multi-player games can model a large variety of practical scenarios, where each player seeks to optimize its own local objective function, which at the same time relies on the actions taken by others. Motivated by the frequent…

Optimization and Control · Mathematics 2023-09-08 Yuanhanqing Huang , Jianghai Hu

In this paper we present results and analyses of a class of games in which heterogeneous agents are rewarded for being in a minority group. Each agent possesses a number of fixed strategies each of which are predictors of the next minority…

adap-org · Physics 2007-05-23 Radu Manuca , Yi Li , Rick Riolo , Robert Savit

In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can…

Computer Science and Game Theory · Computer Science 2024-08-05 Gilberto Diaz-Garcia , Francesco Bullo , Jason R. Marden

In this paper I present several algorithmic techniques for improving the decision process of multiple types of agents behaving in environments where their interests are in conflict. The interactions between the agents are modelled by using…

Computer Science and Game Theory · Computer Science 2009-08-04 Mugurel Ionut Andreica

We study the design of optimal incentives in sequential processes. To do so, we consider a basic and fundamental model in which an agent initiates a value-creating sequential process through costly investment with random success. If…

Theoretical Economics · Economics 2023-11-22 Jens Gudmundsson , Jens Leth Hougaard , Juan D. Moreno-Ternero , Lars Peter Østerdal

Best-response mechanisms (Nisan, Schapira, Valiant, Zohar, 2011) provide a unifying framework for studying various distributed protocols in which the participants are instructed to repeatedly best respond to each others' strategies. Two…

Computer Science and Game Theory · Computer Science 2014-02-03 Diodato Ferraioli , Paolo Penna

We propose a decentralized game-theoretic framework for dynamic task allocation problems for multi-agent systems. In our problem formulation, the agents' utilities depend on both the rewards and the costs associated with the successful…

Multiagent Systems · Computer Science 2021-08-19 Efstathios Bakolas , Yoonjae Lee

Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the Best Reply Strategy have been proposed. They assume that the agents…

Optimization and Control · Mathematics 2014-12-24 Pierre Degond , Michael Herty , Jian-Guo Liu

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

Computer Science and Game Theory · Computer Science 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

Prior work has studied the computational complexity of computing optimal strategies to commit to in Stackelberg or leadership games, where a leader commits to a strategy which is observed by one or more followers. We extend this setting to…

Computer Science and Game Theory · Computer Science 2024-10-22 Nathaniel Sauerberg , Caspar Oesterheld

We study the class of reach-avoid dynamic games in which multiple agents interact noncooperatively, and each wishes to satisfy a distinct target criterion while avoiding a failure criterion. Reach-avoid games are commonly used to express…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Dennis R. Anthony , Duy P. Nguyen , David Fridovich-Keil , Jaime F. Fisac

Despite the rich existing literature about minimax optimization in continuous settings, only very partial results of this kind have been obtained for combinatorial settings. In this paper, we fill this gap by providing a characterization of…

Machine Learning · Computer Science 2023-05-29 Loay Mualem , Ethan R. Elenberg , Moran Feldman , Amin Karbasi

Resource allocation is the process of optimizing the rare resources. In the area of security, how to allocate limited resources to protect a massive number of targets is especially challenging. This paper addresses this resource allocation…

Computer Science and Game Theory · Computer Science 2019-02-26 Xu Liu , Xiaoqiang Di , Jinqing Li , Huan Wang , Jianping Zhao , Huamin Yang , Ligang Cong

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

Optimization and Control · Mathematics 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao

The scheme of online optimization as a feedback controller is widely used to steer the states of a physical system to the optimal solution of a predefined optimization problem. Such methods focus on regulating the physical states to the…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Ming Li , Zhaojian Wang , Feng Liu , Ming Cao , Bo Yang

The assignment game models a housing market where buyers and sellers are matched, and transaction prices are set so that the resulting allocation is stable. Shapley and Shubik showed that every stable allocation is necessarily built on a…

Computer Science and Game Theory · Computer Science 2026-02-23 Emile Martinez , Felipe Garrido-Lucero , Umberto Grandi

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

In human-robot teams, humans often start with an inaccurate model of the robot capabilities. As they interact with the robot, they infer the robot's capabilities and partially adapt to the robot, i.e., they might change their actions based…

Robotics · Computer Science 2017-06-15 Stefanos Nikolaidis , Swaprava Nath , Ariel D. Procaccia , Siddhartha Srinivasa

The widespread deployment of Machine Learning systems everywhere raises challenges, such as dealing with interactions or competition between multiple learners. In that goal, we study multi-agent sequential decision-making by considering…

Computer Science and Game Theory · Computer Science 2025-10-28 Antoine Scheid , Etienne Boursier , Alain Durmus , Eric Moulines , Michael I. Jordan

Multi-robot systems performing continuous tasks face a performance trade-off when interrupted by urgent, time-critical sub-tasks. We investigate this trade-off in a scenario where a team must balance area patrolling with locating an…

Robotics · Computer Science 2025-12-10 Connor York , Zachary R Madin , Paul O'Dowd , Edmund R Hunt