Capitalism, Economic Political and slow and fast variables

In this paper we analyze the problem of the intensity and the diffusion times in the macroeconomic system of the measures of political economic by the Government, focusing on those indirect. We try to show how these effects and diffusion speedy depend crucially on the behaviour of economic agents which often act independently of each other looking for maximum personal gain. The conflicting nature of the capitalistic economic system does not allow us to make specific predictions about the effectiveness of such measures, as the Government has little capacity to control over the actions of private agents. So, nothing can be said before if the objectives that the Government is pursuing will be achieved. A typical example, is the use of instruments controlling the levels of environmental pollution, against which we nourish a latent skepticism. To show our caution, we use the concept of complex system composed of sub-systems connected to each other through relationship of a non-linear mathematical form which is often unknown. We also use the concept of synergetic and the principle of slow and fast variables (slaving principle). In particular, we also show that, when the evolution of a sub-system is logistical, it can give rise to the chaotic dynamics that may extend to other sub-systems and to the overall system. Our arguments are based also by the use of some models expressed, in most case, in the form of differential equations.