The local minority game

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2 00 1 The Local Minority Game

Ecologists and economists try to explain collective behavior in terms of competitive systems of selfish individuals with the ability to learn from the past. Statistical physicists have been investigating models which might contribute to the understanding of the underlying mechanisms of these systems. During the last three years one intuitive model, commonly referred to as the Minority Game, has...

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Cooperation in the Minority Game with local information

The Minority Game was introduced to show basic properties of competitive systems with limited common information resources. M. Paczuski and K. E. Bassler introduced a Minority Game with personal limited information resources, where each agent knows the past actions of randomly chosen neighbours [M. Paczuski, K.E. Bassler, Self-organized Networks of Competing Boolean Agents (1999)]. They asked w...

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The Minority Game with interactions

We partially modify the rules of the Minority Game (MG) by introducing some degree of local information in the game, which is only available for some agents, called the interacting agents. Our work shows that, for small values of the new parameter of the model (the fraction of interacting agents), there is an improvement of the use of the resources with respect to the MG, while as this number g...

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The Full Strategy Minority Game

The Full Strategy Minority Game (FSMG) is an instance of the Minority Game (MG) which includes a single copy of every potential agent. In this work, we explicitly solve the FSMG thanks to certain symmetries of this game. Furthermore, by considering the MG as a statistical sample of the FSMG, we compute approximated values of the key variable σ/N in the symmetric phase for different versions of ...

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Multi-Choices Minority Game

– The generalization of the problem of adaptive competition, known as the minority game, to the case of K possible choices for each player is addressed, and mapped onto a system of interacting perceptrons with input and output units of the type of K-states Potts-spins. An optimal solution of the minority game as well as the dynamical evolution of the adaptive strategies of the players are solve...

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ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 2002

ISSN: 0378-4371

DOI: 10.1016/s0378-4371(01)00480-0