%0 Journal Article %T Description of Models of Complex, Hard Forming Objects %J Applied Mathematics %@ 2163-1425 %D 2012 %I %R 10.5923/j.am.20120206.02 %X The study of structures of power is one of the main tasks of political science, sociology, and philosophy. The concept of power has many meanings, it is hard to quantify. Mathematical models of sociology are descriptive in nature and are applied to a narrow range of issues. These problems are the results, definition of ratings of various political parties, forces, forecasts of parliamentary voting, etc. Model is convenient to easily build formalized basis. You must first define the chain of command, the hierarchy within the government, senior and junior instance. Next, you determine the type and quality of society, managed by government. It can be imagined as civil society. This part of society does not have the authority of law. But one and the same individual can belong to the power structure, and to be a member of civil society. And also there is the response of society to management actions of the government. The reaction can be in the form of public opinion polls, rallies, strikes, etc. The article describes the different types of government. The author emphasizes on the superiority of social-oriented type of management, liberal. This article is the first step to modeling the complex process of governance. Complex objects are difficult to describe mathematically. Relations between people in society are a global problem of mankind. %K Probability %K Matrix States %K Bifurcation %K State %U http://article.sapub.org/10.5923.j.am.20120206.02.html