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We analyze a simple model of adaptive competition which captures essential features of a variety of adaptive competitive systems in the social and biological sciences. Each of N agents, at each time step of a game, joins one of two groups.…

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

This dissertation highlights connections between the fields of neural networks, game theory and time series generation. The concept of antipredictability is explained, and the properties of time series that are antipredictable for several…

Disordered Systems and Neural Networks · Physics 2007-05-23 Richard Metzler

Research concerning organization and coordination within multi-agent systems continues to draw from a variety of architectures and methodologies. The work presented in this paper combines techniques from game theory and multi-agent systems…

Artificial Intelligence · Computer Science 2007-05-23 Derek Messie , Jae C. Oh

In this paper we introduce a new approach for the study of the complex behavior of Minority Game using the tools of algorithmic complexity, physical entropy and information theory. We show that physical complexity and mutual information…

Statistical Mechanics · Physics 2007-05-23 Ricardo Mansilla Corona

We propose and study an evolutionary minority game (EMG) in which the agents are allowed to choose among three possible options. Unlike the original EMG where the agents either win or lose one unit of wealth, the present model assigns one…

Statistical Mechanics · Physics 2007-05-23 Hong-Jun Quan , P. M. Hui , C. Xu , K. F Yip

We study minority games in efficient regime. By incorporating the utility function and aggregating agents with similar strategies we develop an effective mesoscale notion of state of the game. Using this approach, the game can be…

Adaptation and Self-Organizing Systems · Physics 2011-12-06 Karol Wawrzyniak , Wojciech Wislicki

Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these…

Physics and Society · Physics 2019-01-01 Yaneer Bar-Yam , David Kantor

Effective group decision-making is critical in Multi-Agent Systems (MAS). Yet, how different mechanisms for reaching consensus impact collaboration quality and efficiency remains understudied. We conduct a systematic study on group…

Multiagent Systems · Computer Science 2025-06-05 Young-Min Cho , Raphael Shu , Nilaksh Das , Tamer Alkhouli , Yi-An Lai , Jason Cai , Monica Sunkara , Yi Zhang , Dan Roth

The Naming Game is a classic model for studying the emergence and evolution of language within a population. In this paper, we extend the traditional Naming Game model to encompass multiple committed opinions and investigate the system…

Social and Information Networks · Computer Science 2024-07-22 Cheng Ma , Brendan Cross , Gyorgy Korniss , Boleslaw K. Szymanski

We investigate different versions of the minority game, a toy model for agents buying and selling a commodity. The Hamming distance between the strategies used by agents to take decisions is introduced as an analytical tool to determine…

adap-org · Physics 2009-10-31 R. D'hulst , G. J. Rodgers

We develop a game theoretical model of $N$ heterogeneous interacting agents called the intelligent minority game. The ``intelligent'' agents play the basic minority game and depending on their performances, generate new strategies using the…

Statistical Mechanics · Physics 2009-11-07 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

Current multi-agent AI systems operate with a fixed number of agents whose roles are specified at design time. No formal theory governs when agents should be created, destroyed, or re-specialized at runtime-let alone how the population…

Multiagent Systems · Computer Science 2026-04-28 Jean-Philippe Garnier

This paper proposes a potential game theoretic approach to address event-triggered distributed resource allocation in multi-agent systems. The fitness dynamic of the population is proposed and exploited as a linear parametervarying dynamic…

Optimization and Control · Mathematics 2018-07-24 Prashant Bansode , Sharad Jadhav , Mukesh Patil , Navdeep Singh

Multi-agent systems powered by large language models (LLMs) are increasingly deployed in settings that shape consequential decisions, both directly and indirectly. Yet it remains unclear whether their outcomes reflect collective reasoning,…

Artificial Intelligence · Computer Science 2026-03-27 Hidenori Tanaka

We present an exact dynamical solution of a spherical version of the batch minority game (MG) with random external information. The control parameters in this model are the ratio of the number of possible values for the public information…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Galla , A. C. C. Coolen , D. Sherrington

We consider a class of dynamic collective choice models with social interactions, whereby a large number of non-uniform agents have to individually settle on one of multiple discrete alternative choices, with the relevance of their would-be…

Systems and Control · Computer Science 2017-08-21 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

We study the equilibrium distribution of relative strategy scores of agents in the asymmetric phase ($\alpha\equiv P/N\gtrsim 1$) of the basic Minority Game using sign-payoff, with $N$ agents holding two strategies over $P$ histories. We…

Disordered Systems and Neural Networks · Physics 2016-08-31 Mats Granath , Alvaro Perez-Diaz

In this paper, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to buid…

Multiagent Systems · Computer Science 2007-12-17 Rawan Ghnemat , Khalaf Khatatneh , Saleh Oqeili , Cyrille Bertelle , Gérard Henry Edmond Duchamp

In a regular mean field game (MFG), the agents are assumed to be insignificant, they do not realize their effect on the population level and this may result in a phenomenon coined as the Tragedy of the Commons by the economists. However, in…

Optimization and Control · Mathematics 2024-09-13 Gokce Dayanikli , Mathieu Lauriere

The Minority Game (MG), the Majority Game (MAJG) and the Dollar Game ($G) are important and closely-related versions of market-entry games designed to model different features of real-world financial markets. In a variant of these games,…

Adaptation and Self-Organizing Systems · Physics 2008-05-06 J. B. Satinover , D. Sornette
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