On the optimality of optimal income taxation

The Mirrleesian model of income taxation restricts attention to simple allocation mechanism with no strategic interdependence, i.e., the optimal labor supply of any one individual does not depend on the labor supply of others. It has been argued by Piketty (2009) [12] that this restriction is substantial because more sophisticated mechanisms can reach first-best allocations that are out of reach with simple mechanisms. In this paper, we assess the validity of Piketty?s critique in an independent private values model. As a main result, we show that the optimal sophisticated mechanism is a simple mechanism, or, equivalently, a Mirrleesian income tax system.     

On the optimal distribution of income and educational expenditure

This paper extends the work of Arrow and Bruno on the optimal distribution of educational expenditure. It examines educational policies when both education and income redistribution policies are simultaneously optimised. The analysis is undertaken for both fixed and variable labour supply. It is shown that these modifications lead to more regressive educational policies than suggested by Arrow and Bruno.     

On the convexity of the value function in Bayesian optimal control problems

Summary I study the question on the convexity of the value function and Blackwell (1951)'s Theorem and relate this to the uniqueness of optimal policies. The main results will conclude that strict convexity and a strict inequality in Blackwell's Theorem will hold if and only if from different priors different optimal actions may be chosen.Financial support from the C. V. Starr Center and the Research Challenge Fund at New York University is gratefully acknowledged. I thank Professor Tara Vishwanathan whose questioning resulted in this paper.     

On the existence of an implementable optimal income tax

Summary. This paper discusses the existence of an optimal income tax and distinguishes itself from the previous articles in two respects. In previous papers, the self selection condition was not necessarily consistent with the individual budget constraint. Furthermore, implementability in previous papers was implicit in individual ability, rather than individual income, as the basis of the tax function. We offer a different concept of the self selection conditions: Anti Normal Envy that is consistent with the individual budget constraint and that we show to be equivalent to the competitive equilibrium under a tax function based on income. We then establish the existence of an implementable optimal income tax.Received: 9 December 2000, Revised: 5 August 2003, JEL Classification Numbers: H21, C62, D59.Correspondence to: Jun IritaniThe authors are grateful to an anonymous referee of this journal whose suggestions were instrumental to our revision of the paper, and to Professors Takao Kataoka, Tomoyuki Kamo, Tetsuya Kishimoto, and Mototsugu Fukushige, and the members of the Kobe-Osaka Joint Seminar in Mathematical Economics, for their invaluable comments.     

A note on optimal income taxation,public goods provision and robust mechanism design

This paper extends the model of optimal income taxation due to Mirrlees (Mirrlees, J., 1971. An exploration in the theory of optimum income taxation. Review of Economic Studies 38, 175–208) and includes private information on public goods preferences. A mechanism design approach is used to establish the following result: If policies are required to be robustly implementable in the sense of Bergemann and Morris (Bergemann, D., Morris, S., 2005. Robust mechanism design. Econometrica 73, 1771–1813), then the optimality conditions in the extended model with uncertainty about tax and expenditure policies are the same as in the standard model of optimal income taxation. The paper provides a foundation for a widely-used assumption in public finance, namely that individuals optimize their behavior subject to a predetermined and commonly known tax system.     

On the optimal design of pension systems

The present paper aims to quantify efficiency properties of flat and earnings-related pay-as-you-go financed social security systems of various institutional designs in order to identify an optimal pension design. Starting from a benchmark economy without social security, we introduce alternative pension systems and compare the costs arising from liquidity constraints as well as distortions of labor supply versus the benefits from insurance provision against income and lifespan uncertainty. Our findings suggest an optimal replacement rate of about 50 % of average earnings. In our model a single-tier earnings-related pension system yields the highest efficiency gains dominating flat benefits as well as two-tier systems of any form. We also show that the negative correlation between pension progressivity and pension generosity of real-world social security systems can be justified on efficiency grounds. Finally, our results indicate a positive impact of means-testing flat benefits against earnings-related benefits within multi-pillar pension systems.     

Social security, retirement age and optimal income taxation

It is often argued that implicit taxation on continued activity of elderly workers is responsible for the widely observed trend towards early retirement. In a world of laissez-faire or of first-best efficiency, there would be no such implicit taxation. The point of this paper is that, when first-best redistributive instruments are not available, because some variables are not observable, the optimal policy does imply a distortion of the retirement decision. Consequently, the inducement of early retirement may be part of the optimal tax-transfer policy. We consider a model in which individuals differ in their productivity and their capacity to work long and choose both their weekly labor supply and their age of retirement. We characterize the optimal non-linear tax-transfer that maximizes a utilitarian welfare function when weekly earnings and the length of active life are observable while individuals' productivity and health status are not observable.     

On the undesirability of commodity taxation even when income taxation is not optimal

An important result due to Atkinson and Stiglitz (1976) [Atkinson, A.B., Stiglitz, J.E., 1976. The design of tax structure: Direct versus indirect taxation. Journal of Public Economics 6, 55–75.] is that differential commodity taxation is not optimal in the presence of an optimal nonlinear income tax (given weak separability of utility between labor and all consumption goods). This article demonstrates that this conclusion holds regardless of whether the income tax is optimal. In particular, given any commodity tax and income tax system, differential commodity taxation can be eliminated in a manner that results in a Pareto improvement. Also, differential commodity taxation can be proportionally reduced so as to generate a Pareto improvement. In addition, for commodity tax reforms that neither eliminate nor proportionally reduce differential taxation, a simple efficiency condition is offered for determining whether a Pareto improvement is possible.     

Inflation,depreciation and optimal production

Depreciation is an economic outlay, though not a cash outflow. It is recognized as an outlay for tax purposes. This paper deals only with the tax effect of the depreciation method, emphasizing the impact of inflation on both the optimal depreciation method and optimal combination of production factors chosen by firms. In the U.S. and other countries accelerated forms of depreciation were adopted. These methods are analyzed and an optimal one is proposed.     

On the design of optimal grandfathering schemes for emission allowances

This paper derives optimal schemes for the free allocation of emission allowances in a dynamic context. We consider emissions- and output-based allocation rules which allow for updating of the basis of allocation over time and thereby do not rely on historical data only. We show that such dynamic schemes do not necessarily induce inefficient outcomes. In closed trading systems with an absolute cap on emissions, grandfathering schemes which allocate allowances proportionally to past emissions are first-best. However, in open trading systems where allowances can be traded with outsiders, first-best allocation schemes must not depend on firm-specific decisions while second-best schemes correspond to a Ramsey rule of optimal tax differentiation and are generally based on both past emission and output levels.     

Subjective well‐being,consumption comparisons,and optimal income taxation

We introduce reference consumption into the standard utility function from optimal tax analysis. Individuals compare their consumption “narrowly” with those of the same productivity, or “broadly” with the average consumption across society. In both narrow and broad equilibria reference consumption is an increasing function of the tax parameters, so generating new theoretical results. Individual well‐being decreases with the net wage (net‐of‐tax) rate for low productivity workers under narrow (broad) comparisons, thus adjusting redistributive taxation considerations. Further, in both cases reference consumption distorts labor supply away from the social optimum level, giving a distortion‐correcting role for taxation.     

The agents of production are the commodities themselves: On the classical theory of production,distribution and value

The paper discusses the classical theory of production, distribution and value as interpreted by Piero Sraffa in his published and unpublished work. The emphasis is on the characteristic features of the theory, including its objectivist orientation; its explanation of all property incomes in terms of the social surplus generated in production conceived of as a circular flow; and its treatment of wages either as paid out of social capital (given inventory wages) or as paid out of the surplus (a given share of wages). The latter concept is traced back to Ricardo's proportional wages.     

On the relationship between the value of the mark and German production

This study employs Johansen's cointegration technique to determine the long-run relationship between exchange value of the DM and German production. It is shown that depreciation of the DM has a long-run expansionary impact on German production. This conclusion is based on a new method of selecting the order of VAR and the appropriate cointegrating vector simultaneously.     

On the optimal design of insurance contracts with the restriction of equity risk

This paper focuses on the optimal design of insurance contracts with the restriction of equity risk by Arrow's optimal insurance model [2] and Zhou's optimal insurance model [4]. The insured aims to maximize his/her expected utility of terminal wealth, under the constraint that the insurer wishes to control his/her risk. We establish an optimal insurance model that restrains underwriting risk and investment risk simultaneously. We solve this problem and obtain the results which improve and extend the results given by Arrow [2] and Zhou [4].     

Hierarchical design and enforcement of income tax policies

A hierarchical model of tax compliance is studied in which the government selects a tax policy and then delegates the responsibility to collect taxes to the IRS. There is a fixed distribution of income in the economy. Individuals differ by their income, which is known niether to the government nor to the IRS. We completely characterize the solution to the IRS's revenue-maximizing problem. When taxpayers are risk neutral, the optimal auditing policy divides the reported incomes into at most three groups. We show that the government provides a smaller budget to the IRS than the IRS would wish.     

The crisis,Fed, Quants and stochastic optimal control

The Dodd–Frank (D–F) Financial Reform Bill authorizes the Federal Reserve to monitor the financial services marketplace to identify potential threats to the stability of the US financial system. Alan Greenspan's retrospective indicates what he has learned from the crisis. He argues that the crisis, the housing price bubble, was unpredictable and unavoidable. Greenspan now focuses on desirable capital requirements, or leverage, for banks and financial intermediaries. I explain why the Fed's and Greenspan's views stem from a lack of the appropriate tools of analysis of what is an excessive debt or leverage. The Quants who devised the highly leveraged financial derivatives ignored systemic risk.My theme is that the application of stochastic optimal control (SOC) is an effective approach to implement what the D–F bill is authorizing. I explain: first, what is the optimal capital requirement/leverage that balances expected return against risk. Second, what is a theoretically derived early warning signal of a crisis. Third, I derive an excess debt ratio, equal to the difference between the actual and optimal ratios. The probability of a debt crisis is directly related to the excess debt ratio. The excess debt ratio starting from 2004–05 indicated that a crisis was most likely. The Fed should use this SOC analysis in implementing the Dodd–Frank bill.     

公允价值对收入确认及利润的影响分析

本文从公允价值的涵义出发,着重探讨了新准则中公允价值在收入确认中的应用,以及公允价值对利润的影响分析。通过这一分析,我们可以明确地发现公允价值所提供的信息能够更全面地反映企业在生产经营过程中存在的一些问题,有助于会计信息使用者做出正确的分析、预测和决策。     

公允价值对收入确认及利润的影响分析

本文从公允价值的涵义出发,着重探讨了新准则中公允价值在收入确认中的应用,以及公允价值对利润的影响分析.通过这一分析,我们可以明确地发现公允价值所提供的信息能够更全面地反映企业在生产经营过程中存在的一些问题,有助于会计信息使用者做出正确的分析、预测和决策.