A little about models of decentralized systems

Incorrect formalization of original systems when creating a mathematical model can lead to useless multi-cost work and, moreover, to false conclusions. These models can not be improved by using more general properties or more complicated tools. In this article, we discuss ways of creation of adequate models for decentralized type complex systems containing various active elements with their own interests an sets of actions. We specify some basic properties of systems that correspond to certain classes of mathematical models. This approach can serve as a basis for preliminary selection of suitable models for real systems