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Evolutionary game theory has proven to be an elegant framework providing many fruitful insights in population dynamics and human behaviour. Here, we focus on the aspect of behavioural plasticity and its effect on the evolution of…

Populations and Evolution · Quantitative Biology 2020-09-29 M. Kleshnina , K. Kaveh , K. Chatterjee

In this work the properties of multi choice minority games are studied by means of extensive computational simulations. We have considered several ways of rewarding the strategies of the players and compared the resulting behaviours of the…

Disordered Systems and Neural Networks · Physics 2008-11-23 J. Menche , J. R. L. de Almeida

We discuss a crowd-based theory for describing the collective behavior in Complex Systems comprising multi-agent populations competing for a limited resource. These systems -- whose binary versions we refer to as B-A-R (Binary Agent…

Statistical Mechanics · Physics 2007-05-23 Neil F. Johnson , Sehyo C. Choe , Sean Gourley , Timothy Jarrett , Pak Ming Hui

We present a variant of the Minority Game in which players who where successful in the previous timestep stay with their decision, while the losers change their decision with a probability $p$. Analytical results for different regimes of…

Statistical Mechanics · Physics 2009-10-31 G. Reents , R. Metzler , W. Kinzel

The dynamical evolution of many economic, sociological, biological and physical systems tends to be dominated by a relatively small number of unexpected, large changes (`extreme events'). We study the large, internal changes produced in a…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Lamper , S. Howison , N. F. Johnson

Strategies aimed at reducing the negative effects of long-term uncertainty and risk are common in biology, game theory, and finance, even if they entail a cost in terms of mean benefit. Here, we focus on the single mutant's invasion of a…

Populations and Evolution · Quantitative Biology 2024-09-25 Rubén Calvo Ibáñez , Miguel Ángel Muñoz , Tobias Galla

We present a formal treatment of the Crowd-Anticrowd theory of Minority Games played by a population of competing agents. This theory is built around a description of the crowding which arises within the game's strategy space. Earlier works…

Condensed Matter · Physics 2007-05-23 Michael L. Hart , Neil F. Johnson

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

The \$-Game was recently introduced as an extension of the Minority Game. In this paper we compare this model with the well know Minority Game and the Majority Game models. Due to the inter-temporal nature of the market payoff, we introduce…

Statistical Mechanics · Physics 2008-12-02 F. F. Ferreira , M. Marsili

The dynamic behavior of a multiagent system in which the agent size $s_{i}$ is variable it is studied along a Lotka-Volterra approach. The agent size has hereby for meaning the fraction of a given market that an agent is able to capture…

Chaotic Dynamics · Physics 2012-09-04 L. F. Caram , C. F. Caiafa , A. N. Proto , M. Ausloos

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

We study the dynamics of a version of the batch minority game, with random external information and with different types of inhomogeneous decision noise (additive and multiplicative), using generating functional techniques \`{a} la De…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. C. C. Coolen , J. A. F. Heimel , D. Sherrington

As automatic optimization techniques find their way into industrial applications, the behavior of many complex systems is determined by some form of planner picking the right actions to optimize a given objective function. In many cases,…

Neural and Evolutionary Computing · Computer Science 2018-10-31 Thomas Gabor , Lenz Belzner , Thomy Phan , Kyrill Schmid

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

Modelling other agents' behaviors plays an important role in decision models for interactions among multiple agents. To optimise its own decisions, a subject agent needs to model what other agents act simultaneously in an uncertain…

Artificial Intelligence · Computer Science 2022-03-08 Yinghui Pan , Hanyi Zhang , Yifeng Zeng , Biyang Ma , Jing Tang , Zhong Ming

Perfect synchronicity in $N$-player games is a useful theoretical dream, but communication delays are inevitable and may result in asynchronous interactions. Some systems such as financial markets are asynchronous by design, and yet most…

Physics and Society · Physics 2015-05-13 Giancarlo Mosetti , Damien Challet , Sorin Solomon

We discuss a simple version of the Minority Game (MG) in which agents hold only one strategy each, but in which their capitals evolve dynamically according to their success and in which the total trading volume varies in time accordingly.…

Physics and Society · Physics 2015-05-13 Tobias Galla , Yi-Cheng Zhang

A minority game whose strategies are given by probabilities p, is replaced by a 'simplified' version that makes no use of memories at all. Numerical results show that the corresponding distribution functions are indistinguishable. A related…

Condensed Matter · Physics 2009-10-31 E. Burgos , Horacio Ceva

Multi-agent complex systems comprising populations of decision-making particles, have wide application across the biological, informational and social sciences. We uncover a formal analogy between these systems' time-averaged dynamics and…

Other Condensed Matter · Physics 2007-05-23 Neil F. Johnson , David M. D. Smith , Pak Ming Hui

In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in $\mathbb R^d$ aim at reaching given target sets in minimal time. The movement of each agent is described by a…

Optimization and Control · Mathematics 2022-08-16 Saeed Sadeghi Arjmand , Guilherme Mazanti