Dynamic model of firms competitive interaction on the market with taxation

2019/05/15 by Malafeyev, Oleg, Abramyan, Eduard, Shulga, Andrey
#FOS: Economics and business #FOS: Mathematics #General Finance (q-fin.GN) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1905.06364

Abstract

In this article three models of firms interaction on the market are described. One of these models is described by using a differential equation and by Lotka-Volterra model, where the equation has a different form. Also, there are models of non-competing and competing firms. The article presents an algorithm for solving the interaction of competing firms in taxation and the calculation of a compromise point. Besides, the article presents a compromise between the interests of a state and an enterprise.

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