Punishment and Grace: on the Economics of Permanent Amnesties
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Franzoni, Luigi Alberto Working Paper Punishment and Grace: on the Economics of Permanent Amnesties Quaderni - Working Paper DSE, No. 252 Provided in Cooperation with: University of Bologna, Department of Economics Suggested Citation: Franzoni, Luigi Alberto (1996) : Punishment and Grace: on the Economics of Permanent Amnesties, Quaderni - Working Paper DSE, No. 252, Alma Mater Studiorum - Università di Bologna, Dipartimento di Scienze Economiche (DSE), Bologna, https://doi.org/10.6092/unibo/amsacta/5058 This Version is available at: https://hdl.handle.net/10419/159095 Standard-Nutzungsbedingungen: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in EconStor may be saved and copied for your personal and scholarly purposes. You are not to copy documents for public or commercial purposes, to exhibit the documents publicly, to make them publicly available on the internet, or to distribute or otherwise use the documents in public. If the documents have been made available under an Open Content Licence (especially Creative Commons Licences), you may exercise further usage rights as specified in the indicated licence. https://creativecommons.org/licenses/by-nc/3.0/
Punishment and Grace: On the Economics of Permanent Amnesties Luigi Alberto Franzoni ¤y Department of Economics, University of Bologna April 1996 Abstract. This paper extends the literature on tax amnesties by considering two special grace programmes. The ¯rst is an o®er by the government not to investigate taxpayers' accounts, the second not to prosecute indicted evaders. I analyse the impact of both measures on the taxpayers' optimal behaviour and the government's net revenue, and derive the conditions under which it would be desirable to implement them on a permanent basis. JEL Nos. H26 (Tax Evasion) and K42 (Illegal Behavior and the Enforcement of Law). ¤ Correspondence to: Department of Economics, P.zza Scaravilli 2, 40126 Bologna. y An earlier version of this paper has bene¯ted from the helpful comments of Chris Harris, Kai-Uwe KÄuhn, Meg Meyer, Jim Mirrlees and seminar participants at York (RES-93) and Uppsala (ESEM-93). 1
Punishment and Grace: On the Economics of Permanent Amnesties 2 1. Introduction An increasing number of countries have made use of amnesties in recent years, some to overcome the failure of the enforcement apparatus others to surmount urgent revenue needs. Over the last 15 years, tax amnesty programmes have been implemented in 30 states in the US, in Italy, Spain, Ireland, Belgium, France, India, Australia, New Zealand, the Philippines, Columbia, Mexico and Argentina. 1 On the other hand, many countries regularly provide for voluntary disclosures which carry less severe penalties and serve the role of permanent (\standing") amnesties. Within the OECD, for instance, these provisions are made in all countries except Canada, Finland, Germany, Italy, Japan and Switzerland (OECD 1990). 2 The bulk of the economic literature on amnesties has so far limited its attention to a type of amnesty that has been relatively popular in the US, which simply provides a chance to pay back evaded taxes. This is probably the type of amnesty providing taxpayers with a \minimal" bene¯t: in the essence, it merely represents a postponement of the deadline for the submission of the tax return. In reality, amnesties can provide a greater gamut of bene¯ts; from the waiver of interests and civil and criminal penalties on known tax de¯ciencies, to the provision of complete immunity from investigation and auditing. The present contribution examines the e®ects on taxpayers' compliance decisions and the net revenue of amnesties that provide taxpayers with immunity from (standard) prosecution on payment of appropriate compensation. Our focus will be on permanent amnesties, i.e. amnesties whose terms are ingrained in the law or which have become standard practice, and are know in advance by taxpayers. The main concern raised by these enforcement tools relates to their \long-term" e®ects, and is liked to the problem of whether the apparent speed-up they bring about in the enforcement procedure is worth the increased non-compliance which follows their introduction. Our results will be twofold: we will show, on the one hand, that amnesties can e®ectively serve as a screening device, allowing the administration to identify taxpayers with 1 For an overview of recent amnesty programmes see Franzoni (1995a), Olivella (1992), Uchitelle (1989), IRS (1987), Yoingco (1987) and Mickesell (1986). 2 In Italy, a new settlement procedure (\concordato") has recently been introduced, which allows indicted evaders who plead guilty and pay a pre-determined fee to obtain immunity from prosecution. This procedure is intended to stand in for the periodical amnesty programmes.
Punishment and Grace: On the Economics of Permanent Amnesties 3 the highest willingness to pay. On the other hand, we will see that, depending on the timing of the grace o®er - before or after audits are initiated - the amnesty may have a positive or negative e®ect on the allocation of risk and the net revenue. If both these e®ects are taken into consideration, amnesties will turn out to produce a clear-cut revenue increase only when they are o®ered before audits are initiated, i.e. when they provide the taxpayer with full insurance against random auditing. Before proceeding to review the literature on this subject, we will make a simple classi¯cation of amnesty measures, depending on the type of bene¯t they provide. Note that our classi¯cation, as well as the subsequent analysis, is restricted to amnesties for income tax evaders. 3 We shall distinguish between the following measures: 1. Return amnesty : The possibility o®ered to taxpayers to revise their tax returns with a reduced penalty. The amnesty enables taxpayers to correct their income returns (upwards) and pay the missing taxes. Taxpayers accepting the amnesty are not immune from the investigation and auditing activities of the tax administration. 2. Investigation amnesty : The possibility o®ered to taxpayers to get exemption from audits on payment of an amnesty fee. This is essentially an o®er not to investigate the real amount, or the origin, of the taxable income of the taxpayers who take part in the programme. 3. Prosecution amnesty : The partial waiving of the penalty for caught evaders who, pleading guilty, ease the judicial course. In this case, only the prosecution power of the administration is suspended. The ¯rst kind of amnesty has been extensively used in the US, while the second has been used in Italy (¯ve amnesties between 1973 and 1995), the Philippines (seven amnesties between 1973 and 1986), Bolivia (roughly every two years), Colombia (1987) and Argentina (4 amnesties between 1970 and 1984). 4 In Mexico and some other Latin 3 In this paper, we do not deal with amnesties which allow for the general \legalization" of unlawful activities (desertion, illegal immigration, unauthorized building, etc.) or amnesties aimed at retrieving illegal assets within the legal world. On the latter type of amnesty see Das-Gupta and Mookherjee (1995). 4 Despite US programmes were not o±cially granting immunity from prosecution, the most successful ones were open to taxpayers who had already received a notice of infringement, and included liabilities known to the tax agency (\accounts receivable"). Hence, these amnesties de facto allowed evaders to avert an imminent prosecution. IRS (1987) calculates that 2/3 of the overall amnesty revenue can be actually traced back to accounts receivable.
Punishment and Grace: On the Economics of Permanent Amnesties 4 American countries, the timely submission of the return automatically guarantees immunity from investigation on prior compliance. The third type of amnesty is usually a permanent element in enforcement practice, and is the equivalent of plea bargaining for criminal cases. As noted before, most contributions to the theoretical literature have primarily dealt with return amnesties. Given the modest bene¯t provided by this sort of amnesty, the main problem tackled by this stream of literature has been that of explaining why taxpayers would take part in the programme (and pay a fee to revise their return). A possible explanation lies in the fact that the amnesty lowers the e®ective tax rate on reported income (i.e., the amnesty is extensive ). This possibility is explored by Alm and Beck (1990), who employ prospect theory to identify which type of taxpayers are likely to participate in an unexpected programme. Macho-Stadler, Olivella and Perez-Castrillo (1993) develop instead a dynamic model of tax evasion and show that an extensive amnesty which comes unexpectedly to taxpayers may speed the transition towards a regime of stricter enforcement, or even make it instantaneous when the extent of the pardon is large enough. Another reason why taxpayers may participate in a return amnesty, which becomes essential when it is permanent and not extensive, is related to possible information imperfections at the time when the original return is ¯led. This uncertainty may relate either to taxpayers' future income [Andreoni (1991), Graetz and Wilde (1993)], taxpayers' utility functions [Malik and Schwab (1991)], or the enforcement parameters [Stella (1991)]. Standing amnesties may then furnish an escape against unexpected shocks and provide taxpayers with social insurance. Investigation amnesties have been analysed by Marchese e Cassone (1992) and Franzoni (1995b). The ¯rst paper depicts amnesties as a form of intertemporal price discrimination: depending on their evasion opportunities, some taxpayers prefer to purchase their \¯scal liberation" at the outset by paying their statutory taxes, while others prefer to wait and pay the amnesty fee. The authors show that the amnesty increases the net revenue to the government if it can suitably restrict participation to taxpayers more prone to evasion. 5 Franzoni (1995b) investigates the properties of the optimal amnesty policy assuming that the amnesty is not permanent and that the government can decide 5 A simple empirical estimation of this model is provided in Cassone e Marchese (1995). It shows that the representative participant in the 1982 Italian amnesty was a systematically evasion-prone taxpayer. The predictions of the present model are compatible with this observation.
Punishment and Grace: On the Economics of Permanent Amnesties 5 the participation fee each time. The amnesty represents here a form of \renegotiation" of the enforcement policy and proves to increase the net revenue only if the latter is not optimally chosen. Cowell (1990) and Chu (1990) analyse enforcement games which bear important similarities to amnesties. Cowell studies how the option of tax sheltering a®ects the optimal evasion pattern: the relevance of his work is due to the fact that investigation amnesties represent a form of sheltering directly provided by the government. We will come back to some of his results in section 3. Chu analyses the properties of the so-called FATOTA system, which provides taxpayers with the chance of either paying a Fixed Amount of Taxes or face the risk of a Tax Audit. Chu proves that the introduction of the FATOTA system produces a Pareto improvement in enforcement. His result is reproduced, in a di®erent format, in Proposition 2 below. The third kind of amnesty, the prosecution amnesty, applies to taxpayers who have already received a notice of infringement from the tax administration, and it is meant to ease the prosecution procedure. Despite their prominence in the actual tax enforcement practice, prosecution amnesties have so far received very little attention. In Franzoni (1994), I develop an enforcement model in which the tax administration selects the audit rate and taxpayers simultaneously ¯le their tax returns, and show how a surprise prosecution amnesty can increase the net revenue to the administration. In the present paper, I extend the analysis further and show under which conditions it is worthwhile implementing a prosecution amnesty on a permanent basis. The outline of the paper is as follows. In the next section, the classical evasion model of Allingham and Sandmo (1972) is introduced and discussed. Section 3 analyses the impact and desirability of investigation amnesties, while section 4 is devoted to prosecution amnesties. Section 5 provides some ¯nal remarks and concludes the paper. 2. The model In this section, a simple model of tax evasion is introduced, which describes taxpayers' behaviour when amnesties are not feasible. Following Allingham and Sandmo (1972), tax evasion is modelled as a portfolio allocation problem: the taxpayer is faced with the problem of which part of his endowment to invest in the risky activity labelled `evasion.' If the taxpayer does not want to bear any risk, he will report his income in full, otherwise, he will report only a fraction of it and bear the risk of being caught and ¯ned. The problem of the taxpayer is therefore the choice of the optimal tax report, where the reported income
Punishment and Grace: On the Economics of Permanent Amnesties 6 is taxed at a ¯xed rate t and evasion is ¯ned at a penalty rate f proportional to evaded taxes. The probability of being discovered is the same for all taxpayers and is denoted by a: This is a simplifying assumption justi¯ed by the fact that the tax administration (henceforth \TA") cannot infer the actual income of the taxpayer from his return (since di®erent taxpayers have di®erent degrees of risk aversion). The tax and penalty rates, as well as the audit rate, are set by a superior authority and cannot be modi¯ed by the TA. Taxpayers di®er from each other according to their income level and their preferences. We assume that the shape of the utility function of each individual is characterized by a parameter µ; which represents his degree of risk aversion. The distribution of income and attributes in the society is described by a continuously di®erentiable distribution function G ( µ;y ) with support £ £ ¨=[ µ; ¹ µ ] £ [0 ; ¹ y ] and positive density everywhere. The size of the population is normalized to one. The TA knows G; but cannot identify the di®erent types. Each taxpayer chooses the tax report that maximizes his expected utility. Tax reports have to belong to the interval ¨ : The payment to the state from an individual with income y who reports ( y ¡ e )is t ( y ¡ e ) if he is not caught, and ty + ft ( y ¡ e ) if he is audited and ¯ned. Note that we have implicitly assumed that the TA makes no errors in the determination of the true liability of the taxpayer. The expected utility for a ( µ;y )-type is EU ( e )=(1 ¡ a ) u µ ( y (1 ¡ t )+ te )+ au µ ( y (1 ¡ t ) ¡ fte ) (1) with u 0 µ > 0 ; and u 00 µ · 0 for all ( µ;y ) 2 £ £ ¨ : The latter condition implies that all individuals are (weakly) averse to risk. The amount of income that each individual will elect to conceal is denoted by e ( µ;y ) : It can be easily seen that e ( µ;y ) decreases (weakly) with both a and f . Moreover, e ( µ;y ) decreases with t and increases with y if and only if the utility function displays decreasing absolute risk aversion (DARA) [see Allingham and Sandmo (1972) and Yitzhaki (1974)]. For future reference, let EU ( µ;y ) be the expected utility that a ( µ;y )-type derives from the optimal evasion choice. We can now use eq.(1) to derive the \evasion rent" from imperfect enforcement accruing to each taxpayer, i.e. the amount that each taxpayer would be willing to pay to switch from a (virtual) system of perfect enforcement to the actual one. 6 We have evasion rent: r e ( µ;y )=[1 ¡ a (1 + f )] te ( µ;y ) ¡ RP e ( µ;y ) ; 6 Formally, r e ( µ;y )= f r j u ( y (1 ¡ t )+ r )= EU ( µ;y ) g :
Punishment and Grace: On the Economics of Permanent Amnesties 7 where RP e represents the risk premium associated with the optimal evasion choice. The value of evasion to each taxpayer is hence equal to the return on evasion (direct gain, te; less expected punishment, a (1 + f ) te ) less the risk premium. We will assume throughout that 1 ¡ a (1 + f ) > 0 ; i.e. that the net return on evasion (not adjusted for the risk) is positive. Following Yitzhaki (1987), RP e ( µ;y ) can be viewed as the \excess burden of tax evasion" imposed on the taxpayer by a system of random audits. It can be easily seen that, for each taxpayer, RP e ( µ;y ) increases with the amount of income concealed. Given the comparative statics results on e ( µ;y ) reported above, it can be established that the evasion rent is larger if the audit rate and the penalty rate are lower, and if the taxpayer is less averse to risk (i.e. if his utility function is less concave). With DARA utility functions, the evasion rent is decreasing in the tax rate and increasing in income. 7 With no amnesties, the net revenue collected by the TA is represented by R = ZZ £ £ ¨ t [ y ¡ e ( µ;y )] dG ( µ;y ) | {z } tax revenue + ZZ £ £ ¨ a (1 + f ) te ( µ;y ) dG ( µ;y ) |{z } enf. revenue ¡ c ( a ) | {z } enf. costs ; = tY ¡ [1 ¡ a (1 + f )] tE ¡ c ( a ) ; where Y represents the aggregate income, E the aggregate amount of income concealed to the authorities, and c ( a ) the enforcement costs borne by the TA to audit a fraction a of the population. It follows from the previous remarks that the net revenue without amnesties is larger if the penalty rate and the audit rate are larger, if taxpayers are more averse to risk, and if audit costs are lower. With DARA utility functions, the net revenue increases with the aggregate income and the tax rate. The model described so far is meant to describe the determinants of the evasion decisions under standard enforcement. Next, we introduce the possibility that amnesties are used as an additional enforcement tool. 3. Investigation amnesties Let us begin by considering an investigation amnesty, i.e. an amnesty which provides immunity from audits to taxpayers who pay the appropriate fee. 8 The amnesty is o®ered before any auditing activity is commenced. Since the amnesty is standing, the fee level 7 The proofs of these results follow standard arguments and parallel those given by Cowell (1990). 8 In theory, the amnesty fee could depend on the income report of the single taxpayer. In such a case, taxpayers would just take into consideration the sum of the taxes and the amnesty fee associated with each report, and select the report with the lowest total payment. This payment would play exactly the same role as our amnesty fee q:
Punishment and Grace: On the Economics of Permanent Amnesties 8 is known to taxpayers from the beginning, together with the other parameters of the enforcement policy. The game between the TA and the taxpayers has now three stages; in the ¯rst, the TA selects the amnesty fee, in the second, taxpayers decide which income to report, and, in the third, whether to bene¯t from the amnesty or not. Let us begin by considering the problem of taxpayers. They have to take two decisions: which income to report and whether to accept the amnesty or not. If they accept the amnesty, they are exempted from audits and investigations on their tax accounts; if they do not, they are subject to the risk associated with the normal enforcement activity. The taxpayers' best reply function to any given amnesty policy is derived by considering the optimal choice of e conditional on the acceptance of the amnesty. If the amnesty fee is q , the expected utility for a ( µ;y )-type who has reported y ¡ e is EU ( e )= ( (1 ¡ a ) u µ ( y (1 ¡ t )+ te )+ au µ ( y (1 ¡ t ) ¡ fte ) if Not partic: u µ ( y (1 ¡ t )+ te ¡ q ) if Partic: (2) The taxpayer has to choose his evasion level in view of a possible participation in the amnesty programme. Notice that the expected utility for a taxpayer who does not intend to take part in the amnesty is the same as in section 2 (enforcement with no amnesty), so that the optimal evasion level for him is e NA = e ( µ;y ) : On the other hand, the expected utility for a taxpayer who intends to participate is strictly increasing in e , so that the optimal evasion is e A = y: Since the participation fee is °at, prospective participants have an incentive to conceal all their income and become \ghosts." 9 The decision whether to participate or not is then decided by comparing the expected utilities for the two cases. ( EU NA ( µ;y )= EU ( µ;y ) if Not partic: EU A ( µ;y )= u µ ( y ¡ q ) if Partic: Hence, the taxpayer prefers to accept the amnesty only if u µ ( y ¡ q ) ¸ EU ( µ;y ) : (3) The choice of whether to accept the amnesty or not ultimately depends on the shape of the utility function and the income of each taxpayer. Given q; taxpayers will be split into two groups: those who plan to accept the amnesty and evade e A = y; and those who plan 9 This is true, of course, if the amnesty programme is not restricted to individuals who have ¯led a return. If this were the case, prospective participants would simply conceal the maximum amount of income compatible with their participation in the programme.
Punishment and Grace: On the Economics of Permanent Amnesties 15 the marginal enforcement cost, and allows the TA to net extra resources equal to the reduction in the uninsured risk for marginal participants (who have to bear only the risk associated with the evasion level e = e ( µ;y ) rather than e = y ). At ¹ p; we therefore have R 0 ( p ) < 0 () ac 0 ( a ) >RP p ( µ;y ) ¡ RP e ( µ;y )(11) which is not necessarily satis¯ed. This is because prosecution amnesties, while retaining a screening power, lead prospective participants to evade all their taxes, and thereby increase the deadweight loss due to uninsured risk. If the additional \excess burden of tax evasion" brought about by the amnesty policy is larger than the saving in enforcement costs (due to the self-selection of the taxpayers with the largest willingness to pay), then a (marginal) amnesty is not desirable. Proposition 4. A permanent prosecution amnesty does not necessarily increase the net revenue to the tax administration. In the case that amnesty is granted, the optimal participation fee is characterized by F 0 ( p ¤ ) f ac 0 ( aF ( p ¤ )) ¡ RP p ( µ;y )+ RP e ( µ;y ) g = a [1 ¡ F ( p ¤ )] (12) Under which conditions is a prosecution amnesty likely to be desirable? If we look at eq.(11) ; we notice the following. In the ¯rst place, an amnesty turns out to increase the net revenue when the marginal enforcement costs are very large. This is likely to be the case when the TA is subject to heavy congestion and when it is unable to cope (at a reasonable cost) with a large number of audits (and possible judicial disputes). Secondly, the negative e®ect of the amnesty will be small if taxpayers are characterized by a low degree of risk aversion; in the limit, if taxpayers were (almost) risk-neutral, both RP p and RP e would tend to zero. Finally, the amnesty has no adverse e®ects if prospective participants do not alter their evasion choices in view of the amnesty, i.e. if they already evade their whole income. A di®erent insight can be obtained by noting that, for the taxpayers who do not take part in the amnesty programme, it must be true that p> (1 + f ) te ( µ;y ), otherwise they would ¯nd it pro¯table ex-post to accept the amnesty. Since the marginal revenue at ¹ p may also be written as R 0 (¹ p )= F 0 (¹ p )[ ¡ t (1 ¡ a (1 + f )) e (¹ p )+ ty (¹ p ) ¡ a ¹ p ¡ ac 0 ( a )] ;
Punishment and Grace: On the Economics of Permanent Amnesties 16 a su±cient condition for a negative marginal revenue is: ac 0 ( a ) >t [ y ( p ) ¡ e ( p )], which says that the amnesty is implemented when the loss in tax revenue due to the additional evasion is less than the saving in enforcement costs. Hence, high evasion rates make the amnesty likely to improve the tax revenue. 5. Final remarks The analysis presented in the previous sections has shown that tax amnesties can di®er greatly in form and in the results obtained. The two measures we have focused on, investigation amnesty and prosecution amnesty, provide an escape from the standard enforcement process to taxpayers who admit their infractions and pay a certain fee. Our results show that both types of amnesty represent e®ective screening devices which can be used by the TA to reduce its enforcement costs. Amnesties induce taxpayers with the highest willingness to pay to self-select themselves and to elude the standard enforcement/prosecution procedure (which is costly to the administration). The main di®erence between the two measures relates to their way of allocating the audit risk: while investigation amnesties can be used to completely insure participants against the risky elements involved in the enforcement policy, prosecution amnesties cannot, since they are o®ered after taxpayers have su®ered from the bad luck of being selected for auditing. In fact, prosecution amnesties increase the risk borne by the participants, since the latter are led to evade a larger fraction of their income and pay a larger amount in case of an audit. For this reason, prosecution amnesties are likely to be desirable only when the TA is congested or the amount of evasion in the system is already very large.
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