DOI: https://doi.org/10.30970/jps.15.3601
TO THE OPTIMIZATION PROBLEM IN THE MINORITY GAME MODEL
V. Yanishevsky
Ivan Franko State Pedagogical University of Drohobych
46, Lesja Ukrajinka St., Drohobych, UA--82100, Ukraine
|
Journal of Physical Studies 15(3), Article 3601 [10 pages] (2011)
DOI: https://doi.org/10.30970/jps.15.3601 TO THE OPTIMIZATION PROBLEM IN THE MINORITY GAME MODELV. Yanishevsky
Ivan Franko State Pedagogical University of Drohobych |
|
The optimization problem in the minority game model was investigated using a variational technique that is based on the logarithmic grand-canonical partition function inequality. In the introduced approach the $β/P$ parameter expansion is not used as in the original papers. Fundamental relations were obtained in replica symmetric approximation for the minimum of the investigated variable as well as a system of equations for variational parameters. It was shown that the obtained results coincide with the results of the original papers.
PACS number(s): 64.60.Cn, 75.10.Nr, 02.60.Pn