Evolutionary interpretations of entropy model for correspondence matrix calculation

TL;DR

This paper introduces two evolutionary interpretations of the entropy model for correspondence matrix calculation, using stochastic chemical kinetics and population games theory, enhancing understanding of the model's physical basis.

Contribution

It presents novel evolutionary approaches to interpret the entropy model, providing insights into equilibrium selection and physical interpretations.

Findings

Two evolutionary models for entropy calculation are proposed.

The models clarify physical interpretations of the entropy model.

A selection rule for equilibrium among multiple solutions is suggested.

Abstract

In the work two ways of evolutionary interpretation of entropy model for correspondence matrix calculation are proposed. Both approaches based on the stochastic chemical kinetic evolution under the detailed balance condition. The first approach is based on the binary reactions, and the second one is based on the population games theory. Both approaches allow one to understand better possible physical interpretations of the classic model and to obtain the answers for some open questions in neighborhoods branches. For example, one can propose a selection rule to the unique equilibrium among the set of equilibriums.