The importance of the privilege in resource redistribution models for appearance of inverse-power solutions

A polemics with the opinion that power laws generically appear in systems with finite resources is carried on. Examples of simple models of redistribution of resources which lead to short-tail distributions are given. It is shown that the true cause of inverse-power distributions is some kind of privilege which is hidden at a specific method of redistribution. It is explained why some multiplicative processes lead to logexponential (i.e., inverse-power) distribution functions rather than to lognormal ones. The paper stands as the next contribution confirming the hypothesis that the adequate privilege is the cause of origin of inverse-power distributions in many phenomena.