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Conditions for the stability of a Cournot duopoly model with tax evasion and time delay

Raul Villafuerte-Segura, Eduardo Alvarado-Santos and Benjamin A. Itza-Ortiz

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Abstract: We study a Cournot duopoly model with tax evasion and time delay. We prove that if the marginal production costs of both competing firms are equal then the equilibrium point is asymptotically stable and independent of time delay. As consequence, our model can not have bifurcations if the delay, as a parameter, is varied. It further imply that less tax evasion and higher public revenue can be achieved either by increasing the effectiveness of audits or by adjusting the penalties for tax evasion.

New Economics Papers: this item is included in nep-acc, nep-gth, nep-ind and nep-iue
Date: 2019-05
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