Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-23T22:37:00.128Z Has data issue: false hasContentIssue false

PUBLIC DEBT MANAGEMENT AND TAX EVASION

Published online by Cambridge University Press:  17 June 2019

Amedeo Argentiero*
Affiliation:
University of Perugia
Roy Cerqueti
Affiliation:
University of Macerata
*
Address correspondence to: Amedeo Argentiero, University of Perugia, Department of Economics, Via A. Pascoli 20, 06123 Perugia, Italy, e-mail: [email protected]. Phone: +39 075 5855293; Fax: +39 075 5855299.

Abstract

This paper deals with the optimal management of the public debt-to-GDP ratio. We specifically focus on a contrasting tax evasion-based strategy for controlling the debt-to-GDP ratio. Two devices can be employed by the policymaker: by the one side, the tax rate is to be applied to the tax payers; by the other side, the monitoring activity is to be performed in order to detect the evaded taxes. To pursue our scopes, a stochastic control problem is developed and solved. Some numerical experiments validate the theoretical proposal and lead to an intuitive discussion of the obtained findings.

Type
Articles
Copyright
© Cambridge University Press 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

We are grateful to Angelo Antoci, Luca Gori, Mauro Sodini, two anonymous Referees, and the participants to the NED-CICSE 2017 Workshop held in Pisa in September 2017 for the very useful comments. Of course, we are the solely responsible of any errors.

References

REFERENCES

Allingham, M. G. and Sandmo, A. (1972) Income tax evasion: A theoretical analysis. Journal of Public Economics 1(3–4), 323338.CrossRefGoogle Scholar
Alvarez, O., Lasry, J. M. and Lions, P. L. (1997) Convex viscosity solutions and state constraints. Journal de Mathematiques Pures et Appliquees 76(3), 265288.CrossRefGoogle Scholar
Andreoni, J., Erard, B. and Feinstein, J. (1998) Tax compliance. Journal of Economic Literature 36(2), 818860.Google Scholar
Argentiero, A. and Bollino, C. A. (2015) Uncovering unobserved economy: A general equilibrium characterization. Metroeconomica 66(2), 306338.CrossRefGoogle Scholar
Barles, G. and Burdeau, J. (1995) The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems. Communications in Partial Differential Equations 20(1–2), 129178.10.1080/03605309508821090CrossRefGoogle Scholar
Barles, G. and Rouy, E. (1998) A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications. Communications in Partial Differential Equations 23(11–12), 19952033.CrossRefGoogle Scholar
Becker, G. S. (1968) Crime and punishment: An economic approach. Journal of Political Economy 76(2), 169217.CrossRefGoogle Scholar
Bohn, H. (1998) The behavior of US public debt and deficits. The Quarterly Journal of Economics 113(3), 949963.CrossRefGoogle Scholar
Bovi, M. and Cerqueti, R. (2014) A quantitative view on policymakers’ goal, institutions and tax evasion. Quality & Quantity 48(3), 14931510.CrossRefGoogle Scholar
Buchanan, J. M. and Lee, D. R. (1982) Politics, time, and the Laffer curve. Journal of Political Economy 90(4), 816819.10.1086/261091CrossRefGoogle Scholar
Busato, F. and Chiarini, B. (2013) Steady state Laffer curve with the underground economy. Public Finance Review 41(5), 608632.CrossRefGoogle Scholar
Carfora, A., Pansini, R. V. and Pisani, S. (2018). Regional tax evasion and audit enforcement. Regional Studies, 52(3), 362373.CrossRefGoogle Scholar
Cerqueti, R. (2009) Dynamic programming via measurable selection. Pacific Journal of Optimization 5(1), 169181.Google Scholar
Cerqueti, R. (2012) Financing policies via stochastic control: A dynamic programming approach. Journal of Global Optimization 53(3), 539561.CrossRefGoogle Scholar
Cerqueti, R. and Coppier, R. (2011) Corruption, tax evasion and economic growth. Economic Modelling 28(1–2), 489500.CrossRefGoogle Scholar
Cerqueti, R., Marazzina, D. and Ventura, M. (2016) Optimal investment in research and development under uncertainty. Journal of Optimization Theory and Applications 168(1), 296309.CrossRefGoogle Scholar
Checherita-Westphal, C. and Rother, P. (2012) The impact of high government debt on economic growth and its channels: An empirical investigation for the euro area. European Economic Review 56(7), 13921405.CrossRefGoogle Scholar
Clotfelter, C. T. (1983). Tax evasion and tax rates: An analysis of individual returns. The review of economics and statistics, 363373.CrossRefGoogle Scholar
Crandall, M. G., Ishii, H. and L. Lions, P. (1992) User’s guide to viscosity solutions of second order partial differential equations. Bulletin of the American Mathematical Society 27(1), 167.CrossRefGoogle Scholar
Ferrari, G. (2018) On the optimal management of public debt: A singular stochastic control problem. SIAM Journal on Control and Optimization 56(3), 20362073.CrossRefGoogle Scholar
Fleming, W. H. and Soner, H. M. (1993) Controlled Markov Processes and Viscosity Solutions, Applications of Mathematics. New York: Springer.Google Scholar
Gilbarg, D. and Trudinger, N. S. (1977) Elliptic Partial Differential Equations of Second Order, Grundlehren der Mathematischen Wissenschaften. Berlin: Springer.CrossRefGoogle Scholar
Goerke, L. (2013) Relative consumption and tax evasion. Journal of Economic Behavior and Organization 87, 5265.CrossRefGoogle Scholar
Greiner, A. and Fincke, B. (2015) Public Debt, Sustainability and Economic Growth. Swizerland: Springer International Publishing.CrossRefGoogle Scholar
Gutmann, P. M. (1977). The subterranean economy. Financial Analysts Journal, 33(6), 2627.CrossRefGoogle Scholar
Ireland, P. N. (1994) Supply-side economics and endogenous growth. Journal of Monetary Economics 33(3), 559571.CrossRefGoogle Scholar
Karatzas, I. and Shreve, S. E. (1998) Methods of Mathematical Finance. New York: Springer-Verlag.Google Scholar
Myles, G. D., & Naylor, R. A. (1996). A model of tax evasion with group conformity and social customs. European Journal of Political Economy, 12(1), 4966.CrossRefGoogle Scholar
Novales, A. and Ruiz, J. (2002) Dynamic laffer curves. Journal of Economic Dynamics and Control 27(2), 181206.CrossRefGoogle Scholar
Orsi, R., Raggi, D. and Turino, F. (2014) Size, trend, and policy implications of the underground economy. Review of Economic Dynamics 17(3), 417436.CrossRefGoogle Scholar
Strulik, H. and Trimborn, T. (2012) Laffer strikes again: Dynamic scoring of capital taxes. European Economic Review 56(6), 11801199.CrossRefGoogle Scholar
Trabandt, M. and Uhlig, H. (2011) The Laffer curve revisited. Journal of Monetary Economics 58(4), 305327.CrossRefGoogle Scholar
Woo, J. and Kumar, M. S. (2015) Public debt and growth. Economica 82(328), 705739.CrossRefGoogle Scholar
Woodford, M. (1990). Public debt as private liquidity. American Economic Review 80(2), 382388.Google Scholar
Yong, J. and Zhou, X. Y. (1999) Stochastic Controls. Hamiltonian Systems and HJB Equations. Applications of Mathematics. New York: Springer.Google Scholar