The Boltzmann distribution: Economic Applications

Abstract

[EN] This work is focused on two applications to economy of the Boltzmann probability distribution of statistical mechanics. The first one describes the distribution of money while the second one the allocation of CO2 emission permits. The first application has been the instructive model in our case as it involves a very simplified idealization of the economy and it has helped us to submerge into the world of Econophysics. We have digged much deeper into the second application from which we have suggested a new hypothetical application for TAC allocation in fisheries. One way or another, all cases studied consist of partitioning of a limited resource among multiple agents.