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Understanding and predicting the behavior of large-scale multi-agents in games remains a fundamental challenge in multi-agent systems. This paper examines the role of heterogeneity in equilibrium formation by analyzing how smooth…

Computer Science and Game Theory · Computer Science 2025-07-24 Die Hu , Shuyue Hu , Chunjiang Mu , Shiqi Fan , Chen Chu , Jinzhuo Liu , Zhen Wang

Principal-agent problems arise when one party acts on behalf of another, leading to conflicts of interest. The economic literature has extensively studied principal-agent problems, and recent work has extended this to more complex scenarios…

Artificial Intelligence · Computer Science 2024-01-02 Omer Ben-Porat , Yishay Mansour , Michal Moshkovitz , Boaz Taitler

We consider how an agent should update her uncertainty when it is represented by a set $\P$ of probability distributions and the agent observes that a random variable $X$ takes on value $x$, given that the agent makes decisions using the…

Artificial Intelligence · Computer Science 2007-11-27 Peter D. Grunwald , Joseph Y. Halpern

Multi-agent complex systems comprising populations of decision-making particles, have many potential applications across the biological, informational and social sciences. We show that the time-averaged dynamics in such systems bear a…

Physics and Society · Physics 2009-11-11 Neil F. Johnson , David M. D. Smith , Pak Ming Hui

As a step towards studying human-agent collectives we conduct an online game with human participants cooperating on a network. The game is presented in the context of achieving group formation through local coordination. The players set…

Physics and Society · Physics 2019-07-11 Kunal Bhattacharya , Tuomas Takko , Daniel Monsivais , Kimmo Kaski

We study in this paper three aspects of Mean Field Games. The first one is the case when the dynamics of each player depend on the strategies of the other players. The second one concerns the modeling of '' noise '' in discrete space models…

Analysis of PDEs · Mathematics 2018-08-02 Charles Bertucci , Jean Michel Lasry , Pierre Louis Lions

We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

Participants in socio-economic systems are often ranked based on their performance. Rankings conveniently reduce the complexity of such systems to ordered lists. Yet, it has been shown in many contexts that those who reach the top are not…

Physics and Society · Physics 2024-01-30 Federica De Domenico , Fabio Caccioli , Giacomo Livan , Guido Montagna , Oreste Nicrosini

We consider open multi-agent systems. Unlike the systems usually studied in the literature, here agents may join or leave while the process studied takes place. The system composition and size evolve thus with time. We focus here on systems…

Multiagent Systems · Computer Science 2017-09-18 Julien M. Hendrickx , Samuel Martin

This paper gives a critical account of the minority game literature. The minority game is a simple congestion game: players need to choose between two options, and those who have selected the option chosen by the minority win. The learning…

General Finance · Quantitative Finance 2008-12-02 Willemien Kets

In this paper, we present a model of a game among teams. Each team consists of a homogeneous population of agents. Agents within a team are cooperative while the teams compete with other teams. The dynamics and the costs are coupled through…

Computer Science and Game Theory · Computer Science 2023-10-20 Jayakumar Subramanian , Akshat Kumar , Aditya Mahajan

We study the roles of social and individual learning on outcomes of the Minority Game model of a financial market. Social learning occurs via agents adopting the strategies of their neighbours within a social network, while individual…

Physics and Society · Physics 2024-03-05 Bryce Morsky , Fuwei Zhuang , Zuojun Zhou

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

We study analytically and by computer simulations a complex system of adaptive agents with finite memory. Borrowing the framework of the Minority Game and using the replica formalism we show the existence of an equilibrium phase transition…

Statistical Mechanics · Physics 2009-11-07 M. Marsili , R. Mulet , F. Ricci-Tersenghi , R. Zecchina

Cooperation is fundamental in Multi-Agent Systems (MAS) and Multi-Agent Reinforcement Learning (MARL), often requiring agents to balance individual gains with collective rewards. In this regard, this paper aims to investigate strategies to…

Computer Science and Game Theory · Computer Science 2024-05-06 Vaigarai Sathi , Sabahat Shaik , Jaswanth Nidamanuri

We use generating functional analysis to study minority-game type market models with generalized strategy valuation updates that control the psychology of agents' actions. The agents' choice between trend following and contrarian trading,…

Physics and Society · Physics 2015-05-13 P. Papadopoulos , ACC. Coolen

A model of Boolean agents competing in a market is presented where each agent bases his action on information obtained from a small group of other agents. The agents play a competitive game that rewards those in the minority. After a long…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler , Alvaro Corral

Here we present an agent-based model where agents interact with other agents by playing a hybrid of dictator and ultimatum games in a co-evolving social network. The basic assumption about the behaviour of the agents in both games is that…

Physics and Society · Physics 2020-08-20 Jan E. Snellman , Rafael Barrio , Kimmo Kaski

Stock correlations is crucial to asset pricing, investor decision-making, and financial risk regulations. However, microscopic explanation based on agent-based modeling is still lacking. We here propose a model derived from minority game…

Computational Finance · Quantitative Finance 2018-03-26 Ming-Yuan Yang , Sai-Ping Li , Li-Xin Zhong , Fei Ren
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