DOI: https://doi.org/10.30970/jps.13.3602
THE GAUSSIAN APPROXIMATION IN THE MINORITY GAME MODEL
V. Yanishevsky
Ivan Franko State Pedagogical University of Drohobych
24 Ivan Franko St., Drohobych, UA--82100, Ukraine
|
Journal of Physical Studies 13(3), Article 3602 [8 pages] (2009)
DOI: https://doi.org/10.30970/jps.13.3602 THE GAUSSIAN APPROXIMATION IN THE MINORITY GAME MODELV. Yanishevsky
Ivan Franko State Pedagogical University of Drohobych |
|
The paper focuses on the outcomes of a study of the optimization process in the minority game model in the Gaussian approximation. The given approximation consists in the fact that the averaging over the discrete variables in the replica method a transition is made into an averaging over continuous variables with a normal (Gaussian) distribution. The calculations in the symmetric replicas approximation is being compared with other approaches available in the literature.
PACS number(s): 64.60.Cn, 75.10.Nr, 02.60.Pn