Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-14
Physics
Condensed Matter
Statistical Mechanics
41 pages, 16 figures; minor improvements in content, added references; to be published in Physical Review E
Scientific paper
10.1103/PhysRevE.71.066103
We consider a version of large population games whose agents compete for resources using strategies with adaptable preferences. The games can be used to model economic markets, ecosystems or distributed control. Diversity of initial preferences of strategies is introduced by randomly assigning biases to the strategies of different agents. We find that diversity among the agents reduces their maladaptive behavior. We find interesting scaling relations with diversity for the variance and other parameters such as the convergence time, the fraction of fickle agents, and the variance of wealth, illustrating their dynamical origin. When diversity increases, the scaling dynamics is modified by kinetic sampling and waiting effects. Analyses yield excellent agreement with simulations.
Gao Zhuo
Lim Soon-Wook
Michael Wong K. Y.
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