The Minority Game was proposed as market model in 1997. The model turned out to be so interesting, that still is a subject of intensive investigations. Some of its properties can be analyzed within the framework of statistical mechanics of a disordered system. Dynamical steady states are mapped onto the ground state properties of a spin glass model. An application of the replica method allows finding critical values for control parameters of the Minority Game. On using simple computer simulations, it is easy to show that the critical parameters agree with the calculated ones. We analyze how the observed critical behavior of the system changes when model is modified. We discuss the variation of the model in the context of the exchange rates dynamics on Polish financial markets.

• Legal notice:
  

  Copyright (c) Pielaszek Research, all rights reserved.
  The above materials, including auxiliary resources, are subject to Publisher's copyright and the Author(s) intellectual rights. Without limiting Author(s) rights under respective Copyright Transfer Agreement, no part of the above documents may be reproduced without the express written permission of Pielaszek Research, the Publisher. Express permission from the Author(s) is required to use the above materials for academic purposes, such as lectures or scientific presentations.
  In every case, proper references including Author(s) name(s) and URL of this webpage: https://science24.com/paper/2458 must be provided.

1. Step bunching and meandering processes in the crystal growth dynamics
2. Monte Carlo simulations of 4H-SiC crystals sublimation from the stepped (0001) surface
3. New results on gain-loss asymmetry for stock markets time series
4. Gain-loss asymmetry for emerging stock markets.
5. Analysis of fluctuations in financial time series