About new dynamical interpretations of entropic model of correspondence matrix calculation and Nash-Wardrop's equilibrium in Beckmann's traffic flow distribution model

摘要

In this work we widespread statistical physics (chemical kinetic stochastic)approach to the investigation of macrosystems, arise in economic, sociology andtraffic flow theory. The main line is a definition of equilibrium ofmacrosystem as most probable macrostate of invariant measure of Markov dynamic(corresponds to the macrosystem). We demonstrate new dynamical interpretationsfor the well known static model of correspondence matrix calculation. Based onthis model we propose a best response dynamics for the Beckmann's traffic flowdistribution model. We prove that this "natural" dynamic under quite generalconditions converges to the Nash-Wardrop's equilibrium. After that we considertwo interesting demonstration examples.