The presented research is related to choice models which are of the great importance for many branches of economy, behavioral sciences, politology and social sciences. In discrete choice models, one assumes that there exists the choice set consisting of a countable and finite set of comparable alternatives. These are related to preferences of each decision maker, what mathematically is described by so called utility function. It is itself a random variable for which probability density function has been found. I will show the analogy between properties of the utility and the total energy functions of finite physical systems thus enabling applications of equilibrium thermodynamic formalism to economic system analysis. The model will be built in the framework of graphs. Some analytical results and numerical simulations for some network topologies with different degrees of symmetry will be presented.

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1. An outline of equilibrium thermodynamics for network games