The Ant Colony Probabilistic Model Equivalency to the Options Uncertainty Extremized One

Abstract

It is suggested to try to find a certain plausible explanation for the principal relation of the ant colony optimization algorithm traditional probabilistic model. The model is applicable to economic activity and business modeling of objects and processes. The equivalency of the probabilistic relation to the solutions of three functionals with the entropy member for preferences functions is shown. Thus, it is proved that the traditional probabilistic model itself is optimal in some sense. The discussion section raises disputable questions about the choice probability for an external observer and optimal preferences distributions for an internal active participant of the processes. Analytical expressions are illustrated with the necessary diagrams.