Minority game is a model of heterogeneous players who think inductively. In this game, each player chooses one out of two alternatives every turn and those who end up in the minority side wins. It is instructive to extend the minority game by allowing players to choose one out of many...

The crowd–anticrowd theory is applied to explain the features observed in a class of the minority game using different payoff functions. Simulations results using both the full strategy space and a reduced strategy space reveal that the standard deviation (SD) in the number of agents making a...

Complex systems can exhibit unexpected large changes, e.g. a crash in a financial market. We examine the large endogenous changes arising within a non-trivial generalization of the minority game: the grand canonical minority game. Using a Markov-Chain description, we study the many possible...

We present numerical and analytic results for a new version of the minority game (MG) in which strategy performance is recorded over a finite time horizon. The dynamics of this time horizon minority game (THMG) exhibit many distinct features from the MG and depend strongly on whether the...

The Minority Game is a simple yet highly non-trivial agent-based model for a complex adaptive system. Here, we provide an explanation of the game's fluctuations which is both intuitive and quantitative, and which applies over the entire parameter range of interest. The physical idea behind our...

We present detailed numerical results for a modified form of the so-called Minority Game, which provides a simplified model of a competitive market. Each agent has a limited set of strategies, and competes to be in a minority. An evolutionary rule for strategy modification is included to mimic...

We conducted a study on a recently proposed model in which an odd number of agents are competing to be in the minority. In the model, the agents have one strategy in hand which is to follow the most recent history. Each agent is also assigned a value p, which is the probability that an agent...

We show that evolution in a population of adaptive agents, repeatedly competing for a limited resource, can come to an abrupt halt. This transition from evolutionary to non-evolutionary behavior arises as the global resource level is changed, and is reminiscent of a phase transition to a frozen...

Self-organizing maps (SOM) are unsupervised, competitive neural networks used to project high-dimensional data onto a low-dimensial space. In this article we show how SOM can be sued to draw graphs in the plane. The SOM-based approach to graph drawing, which belongs to the general class of...