Frequency distributions of complex systems

With a modi. cation to the standard minority game we built a simple model exhibiting the property of self-organized criticality. We found the frequency distribution of the model can be of the form of either a power law, a power law with an exponential cutoff or a log-normal, depending on the value of the information parameter relative to the size of the system. Power laws appear in complex physical systems such as the sandpile and earthquake systems whose information parameters are small compared with their system sizes.