Geodesic
Evolutionary interpretations of entropy model for correspondence matrix calculation
Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 111-124

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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 conditions. 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.
Keywords: population game theory, correspondence matrix calculation model, traffic assignment model, entropy maximum principle, entropy-linear programming, equilibrium of macro system, detailed balance condition. 
@article{MM_2016_28_4_a8,
     author = {A. V. Gasnikov and E. V. Gasnikova and M. A. Mendel and K. V. Chepurchenko},
     title = {Evolutionary interpretations of entropy model for correspondence matrix calculation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {111--124},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_4_a8/}
}
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A. V. Gasnikov; E. V. Gasnikova; M. A. Mendel; K. V. Chepurchenko. Evolutionary interpretations of entropy model for correspondence matrix calculation. Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 111-124. http://geodesic.mathdoc.fr/item/MM_2016_28_4_a8/