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In this work we consider the Peter principle and anti-Peter principle as thediscrete logistic and discrete inverse logistic equation. Especially we discussimprecisely estimated (by hierarchical control mechanism) carrying capacity,i.e. boundary (in)competence level of a hierarchy member. It implies that Peterprinciple holds two sub-principles. In the first one objective boundarycompetence level is increased for estimation error. In the second one objectiveboundary competence level is decreased for estimation error. Similarly,anti-Peter principle holds two sub-principles too. All this implies thatparadoxical situations that follow from Peter and anti-Peter principle can besimply removed by decrease of the error of hierarchical (social) control. Alsowe discuss cases by Peter principle when error of the boundary competence levelby estimation grows up. (Then, in fact, there is no estimation error butstimulation of the boundary level by control mechanism.) By first Petersub-principle it implies anarchy in the social structure or, correspondingly,cancer in the biology and medicine, schizophrenia in the psychology andinflation in the economy. By second Peter sub-principle it implies a totalitarysocial structure (dictature or caste regime) or multiplex sclerosis and otherautoimmune diseases in biology and medicine, servile mentality or low valuecomplex in psychology and depression by hyperactive political influences ineconomy. Finally, monotonus changes of the stimulated part of boundary levelcause corresponding phase transitions discussed on the example of theintrospection in the psychology.

(ANTI)PETER Principle - Discrete (INVERSE) Logistic Equation with Imprecisely Estimated and Stimulated Carrying Capacity