# Dynamic model of firms competitive interaction on the market with taxation

## TL;DR

This paper develops dynamic models of firm interactions in markets with taxation, including differential equation and Lotka-Volterra models, and proposes algorithms for analyzing competition and balancing interests.

## Contribution

It introduces new mathematical models and algorithms for analyzing competitive interactions among firms under taxation, including a novel differential equation approach.

## Key findings

- Models of competing and non-competing firms are formulated.
- An algorithm for solving firm interactions under taxation is proposed.
- A method for calculating the compromise point between state and enterprise interests is presented.

## 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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Source: https://tomesphere.com/paper/1905.06364