Optimal incentives for labor force participation

Optimal taxation is analyzed under a Rawlsian criterion in an economy where the only decision of the agents is to participate, or not, to the labor force. The model allows for heterogeneity both in the agent's productivities and aversions to work. At a first-best optimal schedule, the marginal agent who decides to work pockets all of her productivity, while being just compensated for her work aversion. When the planner does not observe work aversion, financial compensation for work is lower than productivity. Theory puts little restrictions on the shape of the optimal tax schedules. The usual first-order conditions involving the elasticities of participation only apply for sufficiently regular economies. We qualitatively show how the optimal incentive schemes depend on the underlying structure of the preferences: 100% marginal tax rates or subsidies to work are related to specific features of the economies.     

Optimal redistributive taxation with both extensive and intensive responses

We study optimal income taxation when labor supply reacts along the intensive and extensive margins. Individuals are heterogeneous across two unobserved dimensions: their skill and disutility of participation. We develop a new method to analytically derive conditions under which optimal marginal tax rates are non-negative everywhere. It is typically optimal to provide a distinct level of transfer to the non-employed and to workers with negligible earnings. Numerical simulations illustrate these properties for the US. We also apply our method to sign output distortions in other adverse selection frameworks with random participation, namely the monopoly nonlinear pricing and the regulatory monopoly problems.     

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.     

A Q-theory model with lumpy investment

We present an analytically tractable dynamic stochastic general equilibrium model that incorporates micro-level fixed and convex adjustment costs. We provide an explicit characterization of equilibrium dynamics by a system of nonlinear stochastic difference equations. We provide general conditions under which our model features investment lumpiness at the microeconomic level, but aggregate dynamics are isomorphic to those in a Q-theory model without fixed costs. This theoretical result is independent of the specification of the fixed cost distribution and also holds true when firms face persistent idiosyncratic productivity shocks.     

Optimal age‐dependent income taxation in a dynamic extensive model: The case for negative participation tax on young people

We consider optimal age‐dependent income taxation in a dynamic model where the labor‐leisure choice is the extensive margin, each household faces idiosyncratic shocks to labor productivity and a pecuniary cost to work, and there is no insurance market against the shocks. We show that the well‐known property of the optimal participation tax rate in the static model continues to hold in our dynamic economy, that is, the participation tax rates for some income groups with low consumption are likely negative. In dynamic models, the optimal participation tax rate depends on age and on labor income. Our numerical simulations suggest that a negative participation tax should be restricted to young households.     

The effects of environmental taxes and quotas on the optimal timing of emission reductions under Choquet–Brownian uncertainty

The effects of two environmental policy options for the reduction of pollution emissions, i.e. taxes and non-tradable quotas, are analyzed. In contrast to the prior literature this work endogenously takes into account the level of emissions before and after the adoption of the new environmental policy. The level of emissions is determined by solving the firm's profit maximization problem under taxes and fixed quotas. We find that the optimal adoption threshold under taxes is always larger than the adoption threshold under fixed quota, even in a setting characterized by ecological uncertainty and ambiguity – in the form of Choquet–Brownian motions – on future costs and benefits over adopting environmental policies.     

Viewpoint: Innovations in the theory and practice of redistribution policy

Abstract We present a survey of key results from second‐best optimal redistribution theory and their implications for tax‐transfer policy. The core results include the Corlett‐Hague theorem, the Deaton conditions, the production‐efficiency theorem, the Atkinson‐Stiglitz theorem, and the Mirrlees‐Saez characterization of the optimal non‐linear income tax system. These have been augmented in recent years by optimal participation tax rates, the implications of involuntary unemployment, the use of unconventional instruments, such as minimum wages, in‐kind transfer, and workfare, and the optimal taxation of capital income and bequests.     

Optimal environmental taxation and enforcement policy

We study the optimal environmental taxation and enforcement policy when (i) the regulator does not know the firms’ abatement costs, (ii) penalties for tax evasion are limited, and (iii) monitoring of pollution is costly. We show that the threat of being audited alter the usual firms’ incentives to over-estimate their abatement costs. In particular, depending on the firms’ abatement costs, the optimal policy may involve over or under-deterrence compared to the full information outcome. We then investigate the properties of a pollution standard. We show that this policy comes close to an environmental tax once the economic incentives of the accompanying enforcement policy are considered.     

Estimating Labor Demand with Fixed Costs*

We consider a dynamic model in which firms decide whether or not to vary labor in the presence of fixed costs. By exploiting the first‐order condition for optimality, we derive a semireduced form in which firms' intertemporal employment is defined by a standard marginal productivity condition augmented by a forward‐looking term. We obtain a marginal productivity equilibrium relation that takes into account the future alternatives of adjustment or nonadjustment that firms face. We use the structural parameter from this condition to estimate the fixed cost within a discrete decision process. Fixed costs are about 15 months' labor cost.     

Deconstructing gravity: trade costs and extensive and intensive margins

Abstract This paper uses data on US exports to decompose exports into the number of exporting firms (the extensive margin) and average export sales (the intensive margin). We show how a range of proxies for trade costs has different impacts on the two margins. Distance has a negative effect on both margins, but the magnitude is considerably larger for the extensive margin. Most of the variables capturing language, internal geography, infrastructure and import cost barriers work through the extensive margin. We show that these results are consistent with a Melitz‐style model of trade with heterogeneous firm productivity and fixed costs.     

Piece Rates, Fixed Wages, and Incentive Effects: Statistical Evidence from Payroll Records

We develop and estimate an agency model of worker behavior under piece rates and fixed wages. The model implies optimal decision rules for the firm's choice of a compensation system as a function of working conditions. Our model also implies an upper and lower bound to the incentive effect (the productivity gain realized by paying workers piece rates rather than fixed wages) that can be estimated using regression methods. Using daily productivity data collected from the payroll records of a British Columbia tree-planting firm, we estimate these bounds to be an 8.8 and a 60.4 percent increase in productivity. Structural estimation, which accounts for the firm's optimal choice of a compensation system, suggests that incentives caused a 22.6 percent increase in productivity. However, only part of this increase represents valuable output because workers respond to incentives, in part, by reducing quality.     

Socially optimal procurement with tight budgets and rationing

We investigate the behaviour of a social planner that secures the supply of a good, e.g. an environmental benefit, through contracting with private agents. While the social planner seeks to maximise net social benefits, she is also controlled with a fixed budget. Private agents are profit maximising and hold private information concerning their variable costs of production. They also have known fixed costs of contracting. We find that budget constraints and fixed costs change the optimal contract design in more than one way: the social planner minimises costs, rations high-cost contracts to reduce fixed costs and information rents, and distorts contracts for all agent types, including low-cost agents. We find that rationing improves social welfare. Also, even though social costs – including tax distortion – are explicitly taken into consideration, they do not affect the design of optimal contracts when budgets are tight. In those cases the budget constraint dominates the solution.     

Optimal Growth Strategy under Dynamic Threshold

We consider an economy in which the technology exhibits nonconvexities due to fixed costs associated with production. Taking into account the incentives for investment to decrease fixed costs, we characterize the circumstances under which an underdeveloped economy can catch up with the developing ones. We show that it is optimal to get rid of the fixed costs inherent in production in finite time provided that the initial level of fixed costs are not too high and the technology for reducing fixed costs is sufficiently efficient. Indeed, we obtain that even though the income disparities may be very persistent and can be perceived as poverty traps, economies with not very high initial fixed costs and sufficiently efficient technology for reducing fixed costs would ultimately converge to the same steady state level of per capita income.     

The marginal cost of public funds: Hours of work versus labor force participation

This paper extends the theory and measurement of the marginal cost of public funds (MCF) to account for labor force participation responses. Our work is motivated by the emerging consensus in the empirical literature that extensive (participation) responses are more important than intensive (hours of work) responses. In the modelling of extensive responses, we argue that it is crucial to account for the presence of non-convexities created by fixed work costs. In a non-convex framework, tax and transfer reforms give rise to discrete participation responses generating first-order effects on government revenue. These revenue effects make the marginal cost of funds higher and we show numerically that the implications for MCF tend to be substantial.     

Public budget composition,fiscal (de)centralization,and welfare

Abstract We study the optimal degree of fiscal decentralization in a dynamic federal economy where governments decide on budget size and its allocation between public education and infrastructure spending. We find that full centralization of tax and expenditure policies is optimal when infrastructure productivity is similar across regions. When differences are not too large, partial centralization is optimal. With strong differences, full decentralization becomes optimal. National steady‐state output tends to be highest under full decentralization. We provide a justification for the mixed evidence regarding the Oates conjecture by showing that full dominates partial decentralization, despite being inferior to complete decentralization.     

Rawlsian pricing of access to public facilities: A unidimensional illustration

We consider a setting where citizens using a public facility face an idiosyncratic private access cost and must also contribute to the costs of facility. We show that if the population is uniformly spread over the real line, the cost of a facility is independent of location and access costs are linear in distance, the Rawlsian access pricing is the unique cost sharing solution that satisfies the “core property” of secession-proofness. The latter amounts to the voluntary participation principle under which no group of citizens should be charged more than the cost incurred if it had acted on its own.     

Optimal taxation over the life cycle

We derive the optimal labor income tax schedule for a life cycle model with deterministic productivity variation and complete asset markets. An individual chooses whether and how much to work at each date. The government must finance a given expenditure and does not have access to lump sum taxation. We develop a solution method that uses the primal approach to solve for the optimal non-linear tax function. The average tax rate determines when an individual will work while the marginal tax rate determines how much she will work. Even in the absence of redistributive concerns, the optimal tax schedule has an increasing average tax rate at low levels of income to encourage labor market participation. The marginal tax rate at the top is strictly positive. Finally, the model is used to assess the effects of changing the current tax schedule to the optimal one. Under the preferred parameters, this delivers a welfare gain equivalent to 0.67 percent of lifetime consumption.     

The effect of technology choice on specialization and welfare in a two‐country model

This study presents a simple two‐country model in which firms in the manufacturing sector can choose a technology level (high or low). We show how trade costs and productivity levels affect technology choices by the firms in each country, where the fixed cost of adopting high technology differs between the two countries. This depends on the productivity level of the high technology. In particular, if the productivity of high technology is medium and trade costs are not too low, then a technology gap between countries arises. In this case, improving the productivity of the high technology country reduces the welfare level of consumers in the country in which low technology is adopted. To compensate for the welfare loss of the country from the technological improvement, trade costs should be reduced.     

Openness, managerial incentives, and heterogeneous firms

This paper examines the effects of trade openness on managerial incentives and firm-level productivity by incorporating the principal-agent mechanism into the heterogeneous firm trade framework inter alia Melitz (Econometrica 71:1695?C1725, 2003). We show that opening up to trade generally leads to a steeper optimal managerial incentive scheme (and hence, higher firm productivity) via a new mechanism by which selection of heterogeneous firms into the export market plays a key role. This is because trade openness unambiguously increases the variation of firm profits by reallocating profits towards ex post low-cost exporters, leading to a higher stake of the market game faced by the principals. Interestingly, it is further shown that, whilst falling variable trade costs unambiguously increase managerial incentives, a reduction in fixed trade costs could possibly lead to weaker incentives and thus generate productivity losses due to an adverse inter-firm reallocation effect. Hence, the model establishes a causal link between the Melitz-type reallocation effect and the within-firm productivity changes, both of which have been identified as important sources of aggregate productivity gains from trade by recent empirical studies.     

Optimal Redistribution with Endogenous Social Norms

In this paper, we examine the effect of social norms on redistributive policies, where social norms are reflected in the degree of work participation among the different skill classes. Participation is driven both by the material incentives and heterogeneous preferences for leisure of each skill class, and by an endogenous social norm. Results for optimal redistributive taxation show that when the social norm enters as a benefit or cost for participants, participation taxes are generally lower than in its absence. Multiple participation equilibria can occur, and an engineered shift from a low‐ to a high‐participation equilibrium can be Pareto‐improving in the long run.