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20 April 2024
 
  » arxiv » cond-mat/0008385

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Crowd-Anticrowd Theory of Multi-Agent Market Games
M. Hart ; P. Jefferies ; P.M. Hui ; N.F. Johnson ;
Date 25 Aug 2000
Subject Condensed Matter; Adaptation and Self-Organizing Systems | cond-mat nlin.AO
AffiliationOxford U. and CUHK
AbstractWe present a dynamical theory of a multi-agent market game, the so-called Minority Game (MG), based on crowds and anticrowds. The time-averaged version of the dynamical equations provides a quantitatively accurate, yet intuitively simple, explanation for the variation of the standard deviation (`volatility’) in MG-like games. We demonstrate this for the basic MG, and the MG with stochastic strategies. The time-dependent equations themselves reproduce the essential dynamics of the MG.
Source arXiv, cond-mat/0008385
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