Competing population : effects of diverse preferences and a finite-size scaling theory of dynamical transitions
by Sze-Wah Lim
THESIS
2006
M.Phil. Physics
xi, 54 leaves : ill. ; 30 cm
Abstract
We study the collective behavior of a competing population through a multi-agent system called the Minority Game. We introduce diverse initial preferences among the agents and study how their cooperative behavoior is altered. We aslo study the dynamical phase transition of this Minority Game, which arise when the analyzing power of the agents increases gradually. Finally we propose a finite-size scaling theory of the phase transition, and determine the critical complexity numerically. The result is in agreement with the theory.
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