TO THE OPTIMIZATION PROBLEM IN THE MINORITY GAME MODEL

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 13IP 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.