Comput. Math. Model., 2013, Volume 24, Issue 3, Pages 378–403
A simplified model of tax collection from enterprises in the presence of legal and shadow capital
A. V. Kryazhimskii, S. P. Konovalov, M. S. Nikol'skii
Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
In this article we develop and analyze a simplified mathematical model of financial interaction between the state and the enterprise on tax issues. In the first part, we apply heuristic considerations to construct a simplified model that describes the dynamics of tax collection from an enterprise whose capital consists of both legal and shadow components. In the secont part we investigate this model in a game-theoretical framework.
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