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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 calculate the standard deviation of (N1-N0), the difference of the number of agents choosing between the two alternatives of the minority game. Our approach is based on two approximations: we use the whole set of possible strategies,…

Condensed Matter · Physics 2009-11-07 Ines Caridi , Horacio Ceva

We study the statistical properties of the attendance time series corresponding to the number of agents making a particular decision in the minority game (MG). We focus on the analysis of the probability distribution and the autocorrelation…

Statistical Mechanics · Physics 2009-11-07 Dafang Zheng , Bing-Hong Wang

Generating competitive strategies and performing continuous motion planning simultaneously in an adversarial setting is a challenging problem. In addition, understanding the intent of other agents is crucial to deploying autonomous systems…

Robotics · Computer Science 2025-06-17 Hongrui Zheng , Zhijun Zhuang , Stephanie Wu , Shuo Yang , Rahul Mangharam

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

A group behavior of a heterogeneous multi-agent system is studied which obeys an "average of individual vector fields" under strong couplings among the agents. Under stability of the averaged dynamics (not asking stability of individual…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Jin Gyu Lee , Hyungbo Shim

In the standard minority game, each agent in the minority group receives the same payoff regardless of the size of the minority group. Of great interest for real social and biological systems are cases in which the payoffs to members of the…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Yi Li , Adrian VanDeemen , Robert Savit

In the evolutionary minority game, agents are allowed to evolve their strategies (``mutate'') based on past experience. We explore the dependence of the system's global behavior on the response time and the mutation threshold of the agents.…

Statistical Mechanics · Physics 2009-11-10 Shahar Hod , Ehud Nakar

We study the role of imitation within the Minority Game model of market. The players can exchange information locally, which leads to formation of groups which act as if they were single players. Coherent spatial areas of rich and poor…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina

Competition for a limited resource is the hallmark of many complex systems, and often, that resource turns out to be the physical space itself. In this work, we study a novel model designed to elucidate the dynamics and emergence in complex…

Physics and Society · Physics 2026-03-18 Ann Mary Mathew , V Sasidevan

We show that in a variant of the Minority Game problem, the agents can reach a state of maximum social efficiency, where the fluctuation between the two choices is minimum, by following a simple stochastic strategy. By imagining a social…

Physics and Society · Physics 2012-03-06 Soumyajyoti Biswas , Asim Ghosh , Arnab Chatterjee , Tapan Naskar , Bikas K. Chakrabarti

Resource constraints can fundamentally change both learning and decision-making. We explore how memory constraints influence an agent's performance when navigating unknown environments using standard reinforcement learning algorithms.…

Machine Learning · Computer Science 2025-06-24 Massimiliano Tamborski , David Abel

This work researches the impact of including a wider range of participants in the strategy-making process on the performance of organizations which operate in either moderately or highly complex environments. Agent-based simulation…

Artificial Intelligence · Computer Science 2020-09-28 Joop van de Heijning , Stephan Leitner , Alexandra Rausch

We present a theory which describes a recently introduced model of an evolving, adaptive system in which agents compete to be in the minority. The agents themselves are able to evolve their strategies over time in an attempt to improve…

Condensed Matter · Physics 2009-10-31 T. S. Lo , P. M. Hui , N. F. Johnson

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

The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act…

Logic in Computer Science · Computer Science 2020-08-14 Julian Gutierrez , Aniello Murano , Giuseppe Perelli , Sasha Rubin , Thomas Steeples , Michael Wooldridge

Memory is an important aspect of intelligence and plays a role in many deep reinforcement learning models. However, little progress has been made in understanding when specific memory systems help more than others and how well they…

We study the relationship between performance and practice by analyzing the activity of many players of a casual online game. We find significant heterogeneity in the improvement of player performance, given by score, and address this by…

Computers and Society · Computer Science 2017-03-16 Tushar Agarwal , Keith A. Burghardt , Kristina Lerman

Information sharing between individuals is crucial to improve performance in collective tasks. However, in a competitive world, individuals may be reluctant to share information with the others, and it is still unclear how the presence of…

Physics and Society · Physics 2026-05-04 Ye Wang , Andrea Civilini , Anzhi Sheng , Xiaojie Chen , Long Wang , Vito Latora

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