Evolution in Minority Games I. Games with a Fixed Strategy Space

Details Evolution in Minority Games I. Games with a Fixed Strategy Space Evolution in Minority Games I. Games with a Fixed Strategy Space

1999-03-26

arxiv.org/abs/adap-org/9903008v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

19 pages text, 20 figures. Postscript from msword for text, from matlab for figures (figures combined into one file with a tex

Scientific paper

10.1016/S0378-4371(99)00436-7

In this paper we study the minority game in the presence of evolution. In particular, we examine the behavior in games in which the dimension of the strategy space, m, is the same for all agents and fixed for all time. We find that for all values of m, not too large, evolution results in a substantial improvement in overall system performance. We also show that after evolution, results obey a scaling relation among games played with different values of m and different numbers of agents, analogous to that found in the non-evolutionary, adaptive games. Best system performance still occurs, for a given number of agents, at m_c, the same value of the dimension of the strategy space as in the non-evolutionary case, but system performance is now nearly an order of magnitude better than the non- evolutionary result. For m

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