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In this work we introduce a new model of decision-making by agents in a social network. Agents have innate preferences over the strategies but, because of the social interactions, the decision of the agents are not only affected by their…

Computer Science and Game Theory · Computer Science 2020-02-05 Angelo Fanelli , Dimitris Fotakis

We present a detailed discussion of the role played by memory, and the nature of self-induced shocks, in an evolutionary population competing for limited resources. Our study builds on a previously introduced multi-agent system [Phys. Rev.…

Statistical Mechanics · Physics 2009-11-10 Roland Kay , Neil F. Johnson

We study the problem of full-information online learning in the "bounded recall" setting popular in the study of repeated games. An online learning algorithm $\mathcal{A}$ is $M$-$\textit{bounded-recall}$ if its output at time $t$ can be…

Machine Learning · Computer Science 2024-06-04 Jon Schneider , Kiran Vodrahalli

Stochastic games provide a framework for interactions among multiple agents and enable a myriad of applications. In these games, agents decide on actions simultaneously, the state of every agent moves to the next state, and each agent…

Machine Learning · Computer Science 2019-10-10 Mridul Agarwal , Vaneet Aggarwal , Arnob Ghosh , Nilay Tiwari

We consider a model that demonstrates the crucial role of inertia and stickiness in multi-agent systems, based on the Minority Game (MG). The inertia of an agent is introduced into the game model by allowing agents to apply hypothesis…

Physics and Society · Physics 2009-11-11 W. C. Man , H. F. Chau

In Reinforcement Learning (RL), it is commonly assumed that an immediate reward signal is generated for each action taken by the agent, helping the agent maximize cumulative rewards to obtain the optimal policy. However, in many real-world…

Machine Learning · Computer Science 2024-10-29 Yuting Tang , Xin-Qiang Cai , Yao-Xiang Ding , Qiyu Wu , Guoqing Liu , Masashi Sugiyama

Playing repeated matrix games (RMG) while maximizing the cumulative returns is a basic method to evaluate multi-agent learning (MAL) algorithms. Previous work has shown that $UCB$, $M3$, $S$ or $Exp3$ algorithms have good behaviours on…

Machine Learning · Computer Science 2018-11-02 Bruno Bouzy , Marc Métivier , Damien Pellier

Self-play is an unsupervised training procedure which enables the reinforcement learning agents to explore the environment without requiring any external rewards. We augment the self-play setting by providing an external memory where the…

Machine Learning · Computer Science 2018-06-04 Shagun Sodhani , Vardaan Pahuja

Hypothesis Testing Minority Game (HMG) is a variant of the standard Minority Game (MG) that models the inertial behavior of agents in the market. In the earlier study of our group, we find that agents cooperate better in HMG than in the…

Physics and Society · Physics 2009-11-13 H. F. Chau , V. H. Chan , F. K. Chow

We consider a variant of the classic multi-armed bandit problem where the expected reward of each arm is a function of an unknown parameter. The arms are divided into different groups, each of which has a common parameter. Therefore, when…

Machine Learning · Computer Science 2018-02-23 Zhiyang Wang , Ruida Zhou , Cong Shen

We envision a continuous collaborative learning system where groups of LLM agents work together to solve reasoning problems, drawing on memory they collectively build to improve performance as they gain experience. This work establishes the…

Artificial Intelligence · Computer Science 2025-03-11 Julie Michelman , Nasrin Baratalipour , Matthew Abueg

As artificial agents become increasingly capable, what internal structure is *necessary* for an agent to act competently under uncertainty? Classical results show that optimal control can be *implemented* using belief states or world…

Machine Learning · Computer Science 2026-04-03 Aran Nayebi

In this paper we experiment with a 2-player strategy board game where playing models are evolved using reinforcement learning and neural networks. The models are evolved to speed up automatic game development based on human involvement at…

Artificial Intelligence · Computer Science 2007-05-23 Dimitris Kalles

We consider the general problem of resource sharing in societal networks, consisting of interconnected communication, transportation, energy and other networks important to the functioning of society. Participants in such network need to…

Computer Science and Game Theory · Computer Science 2018-03-28 Jian Li , Bainan Xia , Xinbo Geng , Hao Ming , Srinivas Shakkottai , Vijay Subramanian , Le Xie

In real-world scenarios, individuals often cooperate for mutual benefit. However, differences in wealth can lead to varying outcomes for similar actions. In complex social networks, individuals' choices are also influenced by their…

Physics and Society · Physics 2024-07-08 Yunhao Ding , Chunyan Zhang , Jianlei Zhang

Modern AI systems increasingly operate inside markets and institutions where data, behavior, and incentives are endogenous. This paper develops an economic foundation for multi-agent learning by studying a principal-agent interaction in a…

Machine Learning · Statistics 2026-01-08 Nassim Helou

Incentive design is a popular framework for guiding agents' learning dynamics towards desired outcomes by providing additional payments beyond intrinsic rewards. However, most existing works focus on a finite, small set of agents or assume…

Machine Learning · Computer Science 2025-04-16 Leo Widmer , Jiawei Huang , Niao He

Biological and social scientists have long been interested in understanding how to reconcile individual and collective interests in iterated Prisoner's Dilemma. Many effective strategies have been proposed, and they are often categorized…

Physics and Society · Physics 2023-08-30 Yohsuke Murase , Seung Ki Baek

Current research applying N-level Stackelberg Game to multi-agent systems often uses the default decision order of agents provided by the environment. However, this raises the question: does the order of agents necessarily affect the final…

Multiagent Systems · Computer Science 2026-05-11 Xiangyu Liu , Liang Zhang , Bo Jin , Ziqi Wei

Deriving competitive, distributed solutions to multi-agent problems is crucial for many developing application domains; Game theory has emerged as a useful framework to design such algorithms. However, much of the attention within this…

Systems and Control · Electrical Eng. & Systems 2024-06-27 Rohit Konda , Rahul Chandan , David Grimsman , Jason R. Marden