The Analysis of an Economic Growth Model with Tax Evasion and Delay

Olivia Bundau and Mihaela Neamtu
Additional contact information
Olivia Bundau: “Politehnica” University of Timisoara, Romania
Mihaela Neamtu: West University of Timisoara, Faculty of Economics and Business Administration, Romania

Timisoara Journal of Economics, 2009, vol. 2, issue 1(5), 13-18

Abstract: In this paper we formulate an economic model with tax evasion, corruption and taxes. In the first part the static model is considered, where there are a representative agent and a public institution. The public institution by its tax collectors detects the tax evasion and enacts a system of tax on capital and fines. The representative agent is endowed with a capital k, k>0, and he has to pay a tax on this capital at a rate t1, t1 being in interval (0,1].The agent can try to evades the tax on capital by concealing a capital e1 of the total capital. The optimal tax evasion level which maximizes expected net profit is determined. In the second part, the dynamic model of tax evasion is presented, where the representative agent chooses at each moment in time the level of tax evasion so as maximize expected net profit on infinite horizon, taking into account of the motion equation for the capital k(t), that depend on k(t-τ) and e1(t-τ). Using the delay t as bifurcation parameter we have shown that a Hopf bifurcation occurs when this parameter passes through the critical value t0. The direction of the Hopf bifurcation, the stability and the period of bifurcating period solution are also discussed and characterized.

Keywords: delayed differential equations; economic growth; tax evasion (search for similar items in EconPapers)
JEL-codes: A13 C62 D13 O49 (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://tje.uvt.ro/index.php/tje/article/download/36/pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wun:journl:tje:v02:y2009:i1(5):a02

Ordering information: This journal article can be ordered from
16 J. H. Pestalozzi Street, 300115, Timisoara, Romania
https://tje.uvt.ro

Access Statistics for this article

Timisoara Journal of Economics is currently edited by Camelia Margea

More articles in Timisoara Journal of Economics from West University of Timisoara, Romania, Faculty of Economics and Business Administration Contact information at EDIRC.
Bibliographic data for series maintained by Romeo Margea ().