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What causes black market?
Journal of Public Economics 91 (2007) 1575 – 1590 www.elsevier.com/locate/econbase Efficient black markets?
Carl Davidson a,b , Lawrence Martin a , John Douglas Wilson a,⁎ a Department of Economics, Marshall-Adams Hall, Michigan State University, East Lansing, MI 48824, United States b GEP, University of Nottingham, United Kingdom
Received 17 May 2005; received in revised form 9 October 2006; accepted 23 October 2006
Available online 3 February 2007

Abstract
This paper investigates analytically the welfare effects of black-market activities that firms undertake to evade taxes. The desirability of a black market is linked to the attributes of the goods supplied by blackmarket firms. The analysis identifies cases where a black market reduces (increases) the distortionary impact of taxation on the allocation of resources across the goods that the government is attempting to tax, leading to a welfare gain (loss).
© 2007 Published by Elsevier B.V.
JEL classification: H21; H26
Keywords: Black market; Underground economy; Shadow economy; Tax evasion; Optimal taxation

1. Introduction
By their nature, black-market activities are difficult to measure. Nevertheless, there is widespread agreement that black-market activities account for a significant portion of GDP in many countries.1
Less clear, however, are the welfare effects of such activities, particularly those motivated by tax evasion. In his leading undergraduate text on public finance, Rosen (2005, p. 353) states a second-

⁎ Corresponding author. Department of Economics, Marshall-Adams Hall, Michigan State University, East Lansing, MI
48824, United States. Tel.: +1 517 432 3116; fax: +1 517 432 1068.
E-mail address: wilsonjd@msu.edu (J.D. Wilson).
1
Other terms for the “black market” are the “underground economy” and “shadow economy.” As reported by Schneider and Enste (2000), estimates of the size of the shadow economy as a percentage of GDP in the 1990–93 period ranged from



References: Alm, J., 1985. The welfare cost of the underground economy. Economic Inquiry 23, 243–263. Andreoni, J., 1992. IRS as loan shark: tax compliance with borrowing constraints. Journal of Public Economics 49 (1), 35–46. Andreoni, J., Erard, B., Feinstein, J., 1998. Tax compliance. Journal of Economic Literature 36, 818–860. Becker, G.S., 1968. Crime and punishment: an economic approach. Journal of Political Economy 76, 169–217. Boadway, R., Keen, M.J., 1995. Evasion and time consistency in the taxation of capital income. International Economic Review 39, 461–476. Boadway, R., Marchand, M., Pestieau, P., 1994. Towards a theory of the direct–indirect tax mix. Journal of Public Economics 55, 71–78. Bond, E., Chen, T.J., 1987. The welfare effects of illegal immigration. Journal of International Economics 23 (3–4), 315–328. Brito, D.L., Hamilton, J., Slutsky, S., Stiglitz, J.E., 1995. Randomization in optimal income tax schedules. Journal of Public Economics 56, 189–224. Chang, F., 1986. Randomization of commodity taxes: an expenditure minimization approach. Journal of Public Economics 31, 329–346. Cremer, H., Gahvari, F., 1993. Tax evasion and optimal commodity taxation. Journal of Public Economics 50, 261–275. Davidson, C., Martin, L.W., Wilson, J.D., 2005. Tax evasion as an optimal tax device. Economics Letters 86 (2), 285–290. Feldstein, M., 1995. Tax avoidance and the deadweight loss of the income tax. NBER Working Paper, vol. 5055. Kaplow, L., 1990. Optimal taxation with costly enforcement and evasion. Journal of Public Economics 43, 221–236. Kesselman, J.R., 1989. Income tax evasion: an intersectoral analysis. Journal of Public Economics 38, 137–182. Kopczuk, W., 2001. Redistribution when avoidance behavior is heterogeneous. Journal of Public Economics 81, 51–71. Palda, F., 1998. Evasive ability and the efficiency cost of the underground economy. Canadian Journal of Economics 31 (5), 1118–1138. Polinsky, A.M., Shavell, S., 2000. The economic theory of public enforcement of law. Journal of Economic Literature 38, 45–76. Rosen, H.S., 2005. Public Finance, Seventh edition. McGraw-Hill/Irwin, New York. Schneider, F., Enste, D.H., 2000. Shadow economies: size, causes, and consequences. Journal of Economic Literature 38, 77–114. Shleifer, A., Vishney, R.W., 1993. Corruption. Quarterly Journal of Economics 108, 599–617. Slemrod, J., Bakija, J., 2004. Taxing Ourselves: A Citizen 's Guide to the Great Debate over Tax Reform, Third edition. Slemrod, J., Yitzhaki, S., 1995. The costs of taxation and the marginal cost of funds. IMF Working Paper, vol. 95/83. Slemrod, J., Yitzhaki, S., 2002. Tax avoidance, evasion, and administration. In: Auerbach, A., Feldstein, M. (Eds.), Handbook of Public Economics, vol Stiglitz, J., 1982a. Utilitarianism and horizontal equity: the case for random taxation. Journal of Public Economics 18, 1–34. Stiglitz, J., 1982b. Self-selection and Pareto efficient taxation. Journal of Public Economics 17, 213–240. Usher, D., 1994. Tax evasion and the marginal cost of public funds. The Collected Papers of Dan Usher. Welfare Economics and Public Finance, vol Weiss, L., 1976. The desirability of cheating incentives and randomness in the optimal income tax. Journal of Political Economy 84, 1343–1352. Wilson, J.D., 1989. On the optimal tax base for commodity taxation. American Economic Review 89, 1196–1206. Yitzhaki, S., 1979. A note on optimal taxation and administrative costs. American Economic Review 69, 475–480. Yitzhaki, S., 1987. On the excess burden of tax evasion. Public Finance Quarterly 15 (2), 123–137.

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