time consistent public policy in this paper we study how a benevolent government that cannot commit to future policy should trade off the costs and benefits of public expenditure we characterize and solve for markov perfect equilibria of the dynamic game between successive governments the characterization consists of an inter temporal first order condition a generalized euler equation for the government and we use it both to gain insight into the nature of the equilibrium and as a basis for computations for a calibrated economy we find that when the only tax base available to the government is capital income an inelastic source of funds at any point in time the government still refrains from taxing at confiscatory rates we also find that when the only tax base is labour income the markov equilibrium features less public expenditure and lower tax rates than the ramsey equilibrium

are consumption taxes really better than income taxes abstract we use political equilibrium theory and the neoclassical growth model to compare consumption and income tax systems if government outlays are used for redistribution through transfers then steady state equilibria in societies that use income taxes are not necessarily worse in welfare terms and may even be better income taxes are attractive precisely because they are more distortionary since this implies low equilibrium transfer levels we also find that switching tax systems typically does not benefit the median voter moreover a change from income to consumption taxes may make everybody worse off

supply side interventions and redistribution we evaluate the eect on welfare of shifting the burden of capi tal income taxes to labor taxes in a dynamic equilibrium model with heterogeneous agents and constant tax rates we calibrate and simu late the economy we nd that lowering capital taxes has two eects i it increases e ciency in terms of aggregate production and ii it redistributes wealth in favor of those agents with a low wage wealth ratio when the parameters of the model are calibrated to match the distribution of income in terms of the wage wealth ratio the redis tributive eect dominates and agents with a high wage wealth ratio would experience a large loss in utility if capital income taxes were eliminated

how should control theory be used to calculate a time consistent government policy we study different solutions to a simple one dimensional linear quadratic game with a large number of private agents and a government a time consistent solution is defined as a solution to the hamilton jacobi bellman equation i e as a policy for which the government has noprecommitment capability this solution is compared to a policy where the government has an instantaneous pre commitment i e an equilibrium in which the government has a period by period leadership in both cases we show how control theory should be applied to calculate the equilibrium and how to relate these equilibria to the differential game literature

politics and efficiency of separating capital and ordinary government budgets we analyze a golden rule that separates capital and ordinary account budgets and allows a government to finance only capital items with debt many national governments followed this rule in the eighteenth and nineteenth centuries and most u s states do today we study an overlapping generations economy where majorities choose durable and nondurable public goods in each period when demographics imply even moderate departures from ricardian equivalence the golden rule substantially improves efficiency examples calibrated to u s demographics show greater improvements at the state level or with nineteenth century demographics than under current national demographics

public debt discretionary policy and inflation persistence we describe a simple mechanism that generates inflation persistence in a standard sticky price model of optimal fiscal and monetary policy key to this mechanism is that policies are implemented under discretion the government s discretionary incentive to erode the real value of nominal public debt by means of surprise inflation renders inflation expectations and in further consequence equilibrium inflation rates highly correlated with the stock of public debt debt in turn is highly persistent allowing for tax smoothing in the face of disturbances due to the aforementioned correlation the persistence in debt carries over to inflation our analysis uncovers a non monotonic effect of nominal rigidities on inflation persistence and shows that government debt under discretion does not display the near random walk property familiar from the ramsey literature a calibrated version of the model that incorporates a moderate degree of monopolistic competition and price stickiness is quantitatively consistent with the inflation dynamics experienced in the usa since the volcker disinflation of the early 1980s

time consistent consumption taxation abstract we characterise optimal tax policies when the government has access to consumption taxation and cannot credibly commit to future policies we consider a neoclassical economy where factor income taxation is distortionary within the period due to endogenous labour and capital utilisation and non tax deductibility of depreciation contrary to the case where only labour and capital income are taxed the optimal time consistent policies with consumption taxation are remarkably similar to their ramsey counterparts the welfare gains from commitment are negligible while they are substantial without consumption taxation further the welfare gains from taxing consumption are much higher without commitment

polarized business cycles abstract four stylized facts motivate this paper i business cycle movements are wider in emerging countries ec than in developed ones ii ec experience greater economic policy uncertainty iii ec are more polarized and less politically stable and iv epu is positively related to political polarization a standard real business cycle model augmented to incorporate political polarization a polarized business cycle pbc model is shown to be consistent with these facts we first derive our results analytically and then quantify the effects of a permanent increase in polarization to the us economy

a political economy theory of partial decentralization we revisit the classic problem of tax competition in the context of federal nations and derive a positive theory of partial decentralization a capital poor median voter chooses to use redistributive capital taxes to provide public goods the expectation of high capital taxes however results in a small capital stock which lowers returns to redistribution the median voter therefore wants to commit to a lower level of capital taxes she does so by setting a partial degree of decentralization in the constitution the equilibrium degree of decentralization balances the positive effect of tax competition on capital taxes with the loss in redistribution that results we show that the degree of decentralization is nonmonotonic in inequality increasing in the redistributive efficiency of public good provision and decreasing in capital productivity when public goods are heterogeneous in their capacity to transfer funds all voters agree that goods with high redistributive capacity should be decentralized

on the faustian dynamics of policy and political power this paper examines the faustian dynamics of policy and power we posit a general class of dy namic games in which current policies affect the future distribution of political power resulting in the following faustian trade off if the current ruler chooses his preferred policy he then sacrifices future political power yet if he wants to preserve his future power he must sacrifice his present policy objec tives the trade off comes from the fact that the current political ruler pivotal voter cannot uncouple the direct effect of his policy from its indirect effect on future power a policy endogenous pe equilibrium describes this endogenous transfer of power and the resulting evolution of policy and political power over time we show that the faustian trade off in a pe equilibrium is decomposed into two basic rationales the political preservation effect induces more tempered policy choices than if one s policy choice did not affect one s political fortunes however the reformation effect induces more aggressive policies in order to exploit the productivity gains from policies chosen by even more aggressive successors we distinguish between political systems that give rise to monotone faustian dynamics political power that progressively evolves towards more fiscally liberal types of leaders and cyclical faustian dynamics political power that oscillates between liberal and conservative types of leaders in each case we show that the faustian trade off moderates the choices of each type of leader

politico economic equilibrium and economic growth abstract we propose a notion of dynamic politico economic equilibrium which builds on two key assumptions policies are determined sequentially and agents are fully rational in their roles as both consumers and voters we examine a simple model of endogenous growth and infinitely lived agents where taxes on income are endogenous and where growth critically depends on the initial distribution of asset holdings we relate our equilibrium definition and results to existing literature on time consistency and on political economy and growth we show that our equilibria are time consistent and we argue that the choice of equilibrium concept might have important quantitative implications

time consistent optimal fiscal policy this article studies the properties of optimal fiscal policy in a stochastic growth model when the government cannot commit itself beyond the next period s capital income tax rate we find that the results contrast markedly with those under full commitment first capital income tax rates are very high 65 on average versus close to zero on average under full commitment second labor income taxes are rather low on average about 12 versus a value of around 31 under full commitment finally labor income taxes are quite volatile whereas under full commitment their standard deviation is essentially zero

the political economy of environmental policy with overlapping generations a two sector overlapping generations model illuminates the intergenerational effects of a tax that protects an environmental stock a traded asset capitalizes the economic returns to future tax induced environmental improvements benefiting the current asset owners the old generation absent a transfer the tax harms the young generation by decreasing their real wage future generations benefit from the tax induced improvement in environmental stock the principal intergenerational conflict arising from the tax is between generations alive at the time society imposes the policy not between generations alive at different times a pareto improving tax can be implemented under various political economy settings

optimal taxation without state contingent debt in an economy studied by lucas and stokey tax rates inherit the serial correlation structure of government expenditures belying barro s earlier result that taxes should be a random walk for any stochastic process of government expenditures to recover a version of barro s random walk tax smoothing outcome we modify lucas and stokey s economy to permit only risk free debt having only risk free debt confronts the ramsey planner with additional constraints on equilibrium allocations beyond one imposed by lucas and stokey s assumption of complete markets the ramsey outcome blends features of barro s model with lucas and stokey s in our model the contemporaneous effects of exogenous government expenditures on the government deficit and taxes resemble those in lucas and stokey s model but incomplete markets put a near unit root component into government debt and taxes an outcome like barro s however we show that without ad hoc limits on the government s asset holdings outcomes can diverge in importa

spatial growth and redevelopment with perfect foresight and durable housing abstract in this paper i present a theoretical model of the spatial growth of an urban area with durable housing i combine several assumptions that typically complicate the analysis i housing developers have perfect foresight ii the initial development and many waves of redevelopment are considered in each developer s plan and iii the closed city assumption is made so that the time path of population is exogenous and that of consumer utility is endogenous i still obtain explicit solutions for the spatial pattern of urban growth and for the timing of the initial residential development and each successive redevelopment at each distance from the urban center i compare perfect foresight growth to growth with static expectations and i examine the comparative statics of both

optimal age for preventive replacement under a combined fully renewable free replacement with a pro rata warranty abstract this paper focuses on an age replacement policy for products under a new warranty strategy which combines a fully renewable free replacement with a pro rata warranty policy called fully renewable frw prw policy for this combined warranty strategy whenever a product fails within the warranty period it is replaced by a new one and a new warranty is issued meanwhile if the failure occurs during the first time interval i e the free replacement warranty frw interval replacement is made at no cost to the buyer however if the failure occurs during the second time interval i e the pro rata warranty prw interval replacement is made at a pro rata cost to the buyer dividing the replacement age into three separate periods within frw during prw and post warranty then given that the replacement age is in a certain interval the cost model from the user buyer perspective is developed and the corresponding local optimal replacement age is derived such that the long run expected cost rate is minimized afterward the global optimal replacement age is determined structural properties of these optimal policies are obtained and presented and special cases of the model are discussed finally a numerical example is given for illustration

time consistent control in non linear models abstract the paper shows how to use optimal control to compute optimal time consistent markovian government policies in nonlinear dynamic general equilibrium models it extends cohen and michel s 1988 results for the linear quadratic case the method involves replacing private agents costate variables with flexible functions of current state variables in the government s maximization problem the functions hold in equilibrium to an arbitrarily close approximation they can be found numerically by perturbation or projection methods a stochastic model of optimal public spending illustrates the technique

optimal fiscal and monetary policy in an economy without capital abstract this paper is concerned with the structure and time consistency of optimal fiscal and monetary policy in an economy without capital in a dynamic context optimal taxation means distributing tax distortions over time in a welfare maximizing way for a barter economy our main finding is that with debt commitments of sufficiently rich maturity structure an optimal policy if one exists is time consistent in a monetary economy the idea of optimal taxation must be broadened to include an inflation tax and we find that time consistency does not carry over an optimal inflation tax requires commitment by rules in a sense that has no counterpart in the dynamic theory of ordinary excise taxes the reason time consistency fails in a monetary economy is that nominal assets should from a welfare maximizing point of view always be taxed away via an immediate inflation in a kind of capital levy this emerges as a new possibility when money is introduced into an economy without capital

debt inflation and central bank independence abstract increasing the independence of a central bank from political influence although ex ante socially beneficial and initially successful in reducing inflation would ultimately fail to lower inflation permanently the smaller anticipated policy distortions implemented by a more independent central bank would induce the fiscal authority to decrease current distortions by increasing the deficit over time inflation would increase to accommodate a higher public debt by contrast imposing a strict inflation target would lower inflation permanently and insulate the primary deficit from political distortions

international coordination of fiscal policy in limiting economies we examine the limiting behavior of cooperative and noncooperative fiscal policies as countries market power goes to zero we show that these policies converge if countries raise revenues through lump sum taxation however if there are unremovable domestic distortions such as distorting taxes there can be gains to coordination even when a single country s policy cannot affect world prices these results differ from the received wisdom in the optimal tariff literature the key distinction is that contrary to the tariff literature the spending decisions of governments are explicitly modeled

central bank independence and the monetary instrument problem we study the monetary instrument problem in a dynamic noncooperative game between separate discretionary fiscal and monetary policy makers we show that monetary instruments are equivalent only if the policy makers objectives are perfectly aligned otherwise an instrument problem exists when the central bank is benevolent while the fiscal authority is short sighted relative to the private sector excessive public spending and debt emerge under a money growth policy but not under an interest rate policy despite this property the interest rate is not necessarily the optimal instrument

why a stubborn conservative would run a deficit policy with time inconsistent preferences a conservative government in favor of a low level of public consumption knows that it will be replaced by a government in favor of a larger level of public consumption we show that the resulting level of public consumption is in between the levels the two governments would choose if each were in power both in the present and in the future in particular we show that if the conservative government is more stubborn in a particular sense than the succeeding government the conservative government will borrow more than it would had it remained in power in the future

public debt and optimal taxes without commitment abstract benhabib and rustichini optimal taxes without commitment j econ theory 77 1997 231 259 study the properties of optimal capital taxes in economies without commitment and no government debt they find that capital taxes may be different from zero at steady state this note shows that once governments have the possibility of issuing debt and smoothing taxes over time optimal steady state capital taxes turn out to be zero

equilibrium welfare and government policy with quasi geometric discounting abstract we consider a representative agent equilibrium model where the consumer has quasi geometric discounting and cannot commit to future actions we restrict attention to a parametric class for preferences and technology and solve for time consistent competitive equilibria globally and explicitly we then characterize the welfare properties of competitive equilibria and compare them to that of a planning problem the planner is a consumer representative who without commitment but in a time consistent way maximizes his or her present value utility subject to resource constraints the competitive equilibrium results in strictly higher welfare than the planning problem whenever the discounting is not geometric journal of economic literature classification numbers e21 e61 e91

optimal time consistent macroprudential policy collateral constraints widely used in models of financial crises feature a pecuniary externality agents do not internalize how borrowing decisions made in good times affect collateral prices during a crisis we show that under commitment the optimal financial regulator s plans are time inconsistent and study time consistent policy quantitatively this policy reduces sharply the frequency and magnitude of crises removes fat tails from the distribution of asset returns and increases social welfare in contrast constant debt taxes are ineffective and can be welfare reducing while an optimized macroprudential taylor rule is effective but less so than the optimal time consistent policy

political intergenerational risk sharing abstract in a stochastic two period olg model featuring an aggregate shock to the economy ex ante optimality requires intergenerational risk sharing we compare the level of intergenerational risk sharing chosen by a benevolent government and by an office seeking politician in our political system the transfer of resources across generations is determined as a markov equilibrium of a probabilistic voting game low realized returns on the risky asset induce politicians to compensate the old through a payg system this political system typically generates an intergenerational risk sharing scheme that is i larger ii more persistent and iii less responsive to the realization of the shock than the social optimum this is because the current politician anticipates her transfers to the elderly to be compensated by future politicians through offsetting transfers and hence overspends

the survival of the welfare state this paper provides an analytical characterization of markov perfect equilibria in a model with repeated voting where agents vote over distortionary income redistribution a key result is that the future constituency for redistributive policies depends positively on current redistribution since this affects both private investments and the future distribution of voters the model features multiple equilibria in some equilibria positive redistribution persists forever in other equilibria even a majority of beneficiaries of redistribution vote strategically so as to induce the end of the welfare state next period skill biased technical change makes the survival of the welfare state less likely

optimal dynamic carbon taxes in a climate economy model with distortionary fiscal policy how should carbon be taxed as a part of fiscal policy the literature on optimal carbon pricing often abstracts from other taxes however when governments raise revenues with distortionary taxes carbon levies have fiscal impacts while they raise revenues directly they may shrink the bases of other taxes e g by decreasing employment this article theoretically characterizes and then quantifies optimal carbon taxes in a dynamic general equilibrium climate economy model with distortionary fiscal policy first this article establishes a novel theoretical relationship between the optimal taxation of carbon and of capital income this link arises because carbon emissions destroy natural capital they accumulate in the atmosphere and decrease future output consequently this article shows how the standard logic against capital income taxes extends to distortions on environmental capital investments second this article characterizes optimal climate policy in sub optimal fiscal settings where income taxes are constrained to remain at their observed levels third this article presents a detailed calibration that builds on the seminal dice approach but adds features essential for a setting with distortionary taxes such as a differentiation between climate change production impacts e g on agriculture and direct utility impacts e g on biodiversity existence value the central quantitative finding is that optimal carbon tax schedules are 8 24 lower when there are distortionary taxes compared to the setting with lump sum taxes considered in the literature

on the size of u s government political economy in the neoclassical growth model we study a dynamic version of meltzer and richard s median voter model of the size of government taxes are proportional to total income and they are redistributed as equal lump sum transfers voting takes place periodically over time and each consumer votes for the tax rate that maximizes his equilibrium utility we calibrate the model to u s data key elements in the calibration are the income and wealth distribution and the parameters governing the leisure and consumption choices the total size of transfers predicted by our political economy model is quite close to the size of transfers in the data

median voter equilibria in the neoclassical growth model under aggregation we study a dynamic version of meltzer and richard s median voter model where agents differ in wealth taxes are proportional to income and are redistributed as equal lump sum transfers voting occurs every period and each consumer votes for the tax that maximizes his welfare we characterize time consistent markov perfect equilibria twofold first restricting utility classes we show that the economy s aggregate state is mean and median wealth second we derive the median voter s first order condition interpreting it as a tradeoff between distortions and net wealth transfers our method for solving the steady state relies on a polynomial expansion around the steady state

barriers to investment in polarized societies i present a tractable dynamic model of political economy where disagreements about the composition of public spending result in implementation of short sighted policies the relative price of investment to consumption is excessively large in equilibrium due to over taxation investment rates are too low which slows down growth along the transition in the long run this results in output consumption and welfare being inefficiently low the larger is the degree of polarization the greater is the inefficiency political stability mitigates the effects of polarization by making the incumbent internalize the dynamic inefficiencies introduced by the choice of growth retarding policies

the distributional consequences of tax reforms under capital skill complementarity this paper analyses wage inequality and the welfare effects of changes in capital and labour income tax rates for different types of agents to achieve this we develop a model that allows for capital skill complementarity given non uniform distributions of asset holdings and labour skills we find that capital tax reductions lead to the highest aggregate welfare gains but are skill biased and thus increase inequality however our analysis also shows that the inequality effects of capital tax reductions are lower over the transition period compared with the long run

democratic public good provision this paper analyzes an overlapping generation model of redistribution and public good provision under repeated voting expenditures are financed through age dependent taxation that distorts human capital investment taxes redistribute income both across skill groups and across generations we focus on politico economic markov equilibria and contrast these with the ramsey allocation under commitment the model features indeterminate equilibria with a key role of forward looking strategic voting due to the lack of commitment to future policies the tax burden may be on the wrong side of the dynamic laffer curve moreover restrictions on government policies can in some cases be welfare improving

should fiscal policy be different in a non competitive framework abstract this paper studies if imperfections in the labor market justify a different fiscal policy we present a dynamic general equilibrium model with a ramsey planner deciding about public spending labor taxes and debt two different labor market setups are considered first we assume a competitive labor market and then we introduce a union with monopoly power both models reach the same conclusion as regards to the cyclical properties of the optimal policy it is not optimal to implement a countercyclical fiscal policy we also find that government spending should be larger under perfect competition these main results arise both under complete and incomplete markets for the debt

inflation default and sovereign debt the role of denomination and ownership abstract emerging market governments hold mixed debt portfolios they borrow at home and abroad in both nominal and real terms this paper incorporates such a mixed debt structure into a theory of sovereign debt default and inflation the government optimally uses both default and inflation to balance its budget the portfolio structure affects the relative benefits of inflation default and incentives to accumulate debt a calibrated version of the model can account for key features of the mexican economy we use the model to study if portfolio shifts away from purely real and external debt contributed to emerging market disinflation in the mid 1990s we find that the answer depends on the distinction between ownership and denomination increasingly nominal debt is inflationary if held abroad but lowers inflation if held at home

sequential equilibria in a ramsey tax model this paper presents a full characterization of the equilibrium value set of a ramsey tax model more generally it develops a dynamic programming method for a class of policy games between the government and a continuum of households by selectively incorporating euler conditions into a strategic dynamic programming framework we wed two technologies that are usually considered competing alternatives resulting in a substantial simplification of the problem

capital taxation under political constraints this paper studies optimal dynamic tax policy under the threat of political reform a policy will be reformed ex post if a large enough coalition of citizens supports reform thus sustainable policies are those that will continue to attract enough political support in the future we find that optimal marginal capital taxes are either progressive or u shaped so that savings are subsidized for the poor and or the middle class but are taxed for the rich u shaped capital taxes always emerge when individuals political behavior is purely determined by economic motives

rules versus discretion in food storage policies this article compares various policies in a rational expectations food storage model with risk averse consumers and missing insurance markets calibrated to represent a developing country i consider an optimal storage policy under discretion and two optimal simple rules a constant private storage subsidy and a price band the storage subsidy achieves welfare gains similar to the discretionary policy the price band maximizing social welfare is a price peg scheme the floor and ceiling prices are the same and the capacity constraint represents 11 of the steady state production level this price band achieves three quarters of the gains from the optimal policy under discretion

monetary conservatism and fiscal policy abstract does an inflation conservative central bank a la rogoff 1985 remain desirable in a setting with endogenous fiscal policy to provide an answer we study monetary and fiscal policy games without commitment in a dynamic stochastic sticky price economy with monopolistic distortions monetary policy determines nominal interest rates and fiscal policy provides public goods generating private utility we find that lack of fiscal commitment gives rise to excessive public spending the optimal inflation rate internalizing this distortion is positive but lack of monetary commitment generates too much inflation a conservative monetary authority thus remains desirable when fiscal policy is determined before monetary policy each period the monetary authority should focus exclusively on stabilizing inflation monetary conservatism then eliminates the steady state biases associated with lack of monetary and fiscal commitment and leads to stabilization policy that is close to optimal

fiscal policy with limited time commitment we propose a theory of optimal fiscal policy consistent with the observation that governments typically inherit their predecessors plans and formulate their policies over a finite future horizon we use this framework which we call limited time commitment ltc to make two contributions first in a general stochastic model we show that under an intuitive sufficient condition a chain of successive governments with ltc sustains the full commitment fc ramsey equilibrium this equivalence result clarifies in which cases existing recursive methods to solve for fc plans have a positive interpretation based on partial commitment we apply this result in two benchmark models of optimal fiscal policy with and without capital in which the fc policy is time inconsistent second we investigate the implications of ltc in a model of capital taxation in which the fc outcome cannot be achieved with finite commitment we show that the internalisation of near future tax distortions represents a key distinction with respect to the literature on no commitment nc in a calibrated version of the model we find that a single year of fiscal commitment leads to large welfare gains approximately a third of the difference between fc and nc finally we use ltc to analyse commitment to different fiscal instruments and to study the importance of state contingency in fiscal plans

distortionary taxes and public investment when government promises are not enforceable abstract we characterize the optimal financing of productive public capital and compute the welfare loss from being unable to commit to the ramsey policy because this calculation ultimately relies on numerical approximations we contrast alternative approaches while perturbation and linear quadratic methods deliver accurate steady states the latter can yield misleading policy implications during transitions we find that moving from a regime with commitment to one with discretion implies only a small welfare loss although markov perfect consumption falls noticeably short of its ramsey counterpart in steady state consumption under discretion is higher in the short run which largely offsets this long run loss

public education and pensions in democracy a political economy theory a dynamic political economy theory of scal policy is presented to explain the simultaneous existence of public education and pensions in modern democracies the driving force of the model is the intergenerational conict over the allocation of the public budget successive generations of voters choose scal policies through repeated elections the political power of elderly voters creates the motive for adults to support public investment in the human capital of future generations since it expands future pension possibilities we characterize the markov perfect equilibrium of the voting game in a small open economy the equilibrium reproduces salient features of intergenerational