Research Database

We consider an environment in which individuals receive income shocks that are unobservable to others and can privately store resources. We provide a simple characterization of the efficient allocation in cases in which the rate of return on storage is sufficiently high or, alternatively, in which the worst possible outcome is sufficiently dire. We show that, unlike in environments without unobservable storage, the symmetric efficient allocation is decentralizable through a competitive asset market in which individuals trade risk-free bonds among themselves.

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 consumers. By selectively incorporating Euler conditions into a strategic dynamic programming framework, we wed two technologies that are usually considered competing alternatives, resulting in a dramatic simplification of the problem.

We explore the welfare consequences of different taxation schemes in an economy where agents are debt-constrained. If agents default on their debt, they are banned from future credit markets, but retain their private endowments which are subject to income taxation. A change in the tax system changes the severity of punishment from default and, hence, leads to a limitation of possible risk sharing via private contracts. The welfare consequences of a change in the tax system depend on the relative magnitudes of increased risk sharing forced by the new tax system and the reduced risk sharing in private insurance markets. We quantitatively address this issue by calibrating an artificial economy to US income and tax data. We show that for a plausible selection of the structural parameters of our model, the change to a more redistributive tax system leads to less risk sharing among individuals and lower ex-ante welfare.

There is now an extensive literature regarding the efficient design of incentive mechanisms in dynamic environments. In this literature, there are no exogenous links across time periods because either privately observed shocks are assumed time independent or past private actions have no influence on the realizations of current variables. The absence of exogenous links across time periods ensures that preferences over continuation contracts are common knowledge, making the definition of incentive compatible contracts at a point in time a simple matter. In this paper, we present general recursive methods to handle environments where privately observed variables are linked over time. We show that incentive compatible contracts are implemented recursively with a threat keeping constraint in addition to the usual temporary incentive compatibility conditions.

The welfare-maximizing income tax structure, rate of money creation, and amounts of intergenerational transfers are jointly determined for given rates of government consumption. When government consumption is zero, it is found for the parameter values examined that the income tax structure is progressive, the rate of money change is negative, and positive transfers are made to the old. As government consumption increases, the tax structure’s progressivity declines and turns increasingly regressive, the rate of money change rises, and transfers decrease. It is found that the bulk of the increase in government consumption is optimally financed by a cut in transfers.

A unified growth theory is developed that accounts for the roughly constant living standards displayed by world economies prior to 1800 as well as the growing living standards exhibited by modern industrial economies. Our theory also explains the industrial revolution, which is the transition from an era when per capita incomes are stagnant to one with sustained growth. We use a standard growth model with one good and two available technologies. The first, denoted the Malthus technology, requires land, labor, and reproducible capital as inputs. The second, denoted the Solow technology, does not require land. We show that in the early stages of development, only the Malthus technology is used, and, due to population growth, living standards are stagnant despite technological progress. Eventually, technological progress causes the Solow technology to become profitable, and both technologies are employed. In the limit, the economy behaves like a standard Solow growth model.

This paper explores the consequences of new information technologies, such as bar codes and computer-tracking of inventories, for the optimal organization of retail. The first result is that there is a complementarity between the new information technology and frequent deliveries. This is consistent with the recent move in the retail sector toward higher-frequency delivery schedules. The second result is that adoption of the new technology tends to increase store size. This is consistent with recent increases in store size and the success of the superstore model of retail organization.

This paper analyses the effects of open market operations on interest rates in a model in which agents must pay a fixed cost to exchange assets and cash. Asset markets are endogenously segmented in that some agents choose to pay the fixed cost and some do not. When the fixed cost is zero, the model reduces to the standard one in which persistent money injections increase nominal interest rates, flatten the yield curve, and lead to a downward-sloping yield curve on average. In contrast, if markets are sufficiently segmented, then persistent money injections decrease interest rates, steepen or even twist the yield curve, and lead to an upward-sloping yield curve on average.

Many would say that children are society’s most precious resource. So, how should it invest in them? To gain insight into this question, a dynamic general equilibrium model is developed where children differ by ability. Parents invest time and money in their offspring, depending on their altruism. This allows their children to grow up as more productive adults. First, the efficient allocation for the framework is characterized. Next, this is compared with the case of incomplete financial markets. Then, the situation where childcare markets are also lacking is examined. Additionally, the effects of impure altruism are analyzed.

In this paper, I characterize equilibria for a sticky-price model in which Federal Reserve policy is an interest-rate rule similar to that described in Taylor (1993). For standard preferences and technologies used in the literature, the model predicts that the nominal interest rate is negatively serially correlated, and that shocks to interest rates imply a potentially large but short-lived response in output. Shocks to government spending and technology lead to persistent changes in output but the percentage change in output is predicted to be smaller than the percentage changes in spending or technology. I compare the model’s predictions to data using innovations backed out from estimated processes for interest rates, government spending, and technology shocks. These comparisons confirm the theoretical findings. In response to observed changes in government spending and technology, the model predicts a path for output that is much smoother than the data and much smoother than that predicted by non-sticky price models.

The effects on ex ante optima of a lag in seeing monetary realizations are studied using a matching model of money. The main new ingredient in the model is meetings in which producers have more information than consumers. A consequence is that increases in the amount of money that occur with small enough probability can have negative impact effects on output, because it is optimal to shut down trade in such low probability meetings rather than have lower output when high probability realizations occur. The information lag also produces prices that do not respond much to current monetary realizations.

Two policies toward payments-system risk are common, but superficially appear to be contradictory. One policy is to restrict the exposure to risk generated by one participant to other participants who are, by one measure or another, directly concerned with the risky participant. The other policy is to provide a “safety net,” typically provided by government and funded by taxes collected from all participants and even from non-participants, to share losses due to “systemic risk.” In this paper, we provide a model in which both of these policies can be constituents of an economically efficient regime of payments-risk management.

In a repeated game of incomplete information, myopic players form beliefs on next-period play and choose strategies to maximize next-period payoffs. Beliefs are treated as forecast of future plays. Forecast accuracy is assessed using calibration tests, which measure asymptotic accuracy of beliefs against some realizations. Beliefs are calibrated if they pass all calibration tests. For a positive Lebesgue measure of payoff vectors, beliefs are not calibrated. But, if payoff vector and calibration test are drawn from a suitable product measure, beliefs pass the calibration test almost surely.

Staggered price and staggered wage contracts are commonly viewed as similar mechanisms in generating persistent real effects of monetary shocks. In this paper, we distinguish the two mechanisms in a general equilibrium framework. We show that, although the dynamic price setting and the dynamic wage setting equations are alike, a key parameter governing persistence is linked to the underlying preferences and technologies in different ways. Under the staggered wage mechanism, an intertemporal smoothing incentive in labor supply creates a real rigidity that is absent under the staggered price mechanism. Consequently, the two have different implications on persistence. While the staggered price mechanism by itself is incapable of, the staggered wage mechanism has a great potential in generating persistence.

Under a narrow set of assumptions, Chamley (1986) established that the optimal tax rate on capital income is eventually zero. This study examines and extends that result by relaxing Chamley’s assumptions, one by one, to see if the result still holds. It does. This study unifies the work of other researchers, who have confirmed the result independently using different types of models and approaches. This study uses just one type of model (discrete time) and just one approach (primal). Chamley’s result holds when agents are heterogeneous rather than identical, the economy’s growth rate is endogenous rather than exogenous, the economy is open rather than closed, and agents live in overlapping generations rather than forever. (With this last assumption, the result holds under stricter conditions than with the others.)

This paper develops a model of the choice between bank and market finance by entrepreneurial firms that differ in the value of their net worth. The monitoring associated with bank finance ameliorates a moral hazard problem between the entrepreneurs and their lenders. The model is used to analyze the different strands of the credit view of the transmission of monetary policy. In particular, we derive the empirical implications of a broad credit channel, and compare them to those obtained when the model is extended to incorporate some elements of the bank lending channel.

In Scott Freeman’s (1996) model, payment system arrangements based on intermediated debt that is settled with money achieve higher welfare than does direct money payment. In a simplified version of Freeman’s model, welfare can be further improved and efficiency achieved by a monetary authority participating in a secondary market for debt or by a private intermediary using a common clearinghouse device. The analysis clarifies that ordinary private agents can assume the role of central bank or clearinghouse; no artificial agent, posited solely to play that role and endowed with special capabilities for it, is necessary. The institutional features required for a central bank or a clearinghouse to achieve efficiency, particularly features related to central bank independence, are discussed informally.

Can neoclassical theory account for the Great Depression in the United States—both the downturn in output between 1929 and 1933 and the recovery between 1934 and 1939? Yes and no. Given the large real and monetary shocks to the U.S. economy during 1929–33, neoclassical theory does predict a long, deep downturn. However, theory predicts a much different recovery from this downturn than actually occurred. Given the period’s sharp increases in total factor productivity and the money supply and the elimination of deflation and bank failures, theory predicts an extremely rapid recovery that returns output to trend around 1936. In sharp contrast, real output remained between 25 and 30 percent below trend through the late 1930s. We conclude that a new shock is needed to account for the Depression’s weak recovery. A likely culprit is New Deal policies toward monopoly and the distribution of income.

Most models of aggregate economic activity, like the standard neoclassical growth model, ignore the fact that equipment and structures are maintained and repaired. Once physical capital is purchased in these models, there are typically no more decisions made regarding its use. The theme of this article is that there is evidence to suggest that incorporating expenditures on the maintenance and repair of physical capital into models of aggregate economic activity will change the quantitative answers to some key questions that have been addressed with these models. This evidence is primarily from a little-used economywide survey in Canada. The survey shows that the activity of maintaining and repairing equipment and structures is an activity that is generally both large relative to investment and a substitute for investment to some extent—and to a large extent during some episodes.

In this paper, we develop a model of money and reserve-holding banks. We allow for private liabilities to circulate as media of exchange in a random-matching framework. Some individuals, which we identify as banks, are endowed with a technology to issue private notes and to keep reserves with a clearinghouse. Bank liabilities are redeemed according to a stochastic process that depends on the endogenous trades. We find conditions under which note redemptions act as a force that is sufficient to stabilize note issue by the banking sector.

Many traditional macroeconomic models do not have determinate predictions for the path of inflation: even for a given specification of money supplies, many paths of inflation are consistent with equilibrium. According to the fiscal theory of the price level, fiscal policy can be used to select which of these many paths actually occur. This article explains the fiscal theory of the price level and discusses its empirical and policy implications. The article argues that the theory is equivalent to giving the government an ability to choose among equilibria.

This paper studies a general equilibrium model with multiple stages of production and asynchronized price setting that provides a new explanation for the observed persistent real effects of monetary shocks. The key feature of the model is a vertical chain-of-production structure. In this model, the effects of monetary shocks on price adjustment are gradually dampened via the interactions of firms through their input-output relations and the timing of their price decisions. The model predicts that prices adjust by a smaller amount and less rapidly at later stages than at earlier stages, which is supported by empirical evidence. More importantly, an increase in the total number of stages in the model leads to not only uniformly larger and longer-lasting real effects but also flatter paths of aggregate output response. With sufficiently many stages, the price level adjustment becomes arbitrarily close to zero and the aggregate output tends to carry the full burden of adjustment. Thus, the chain-of-production mechanism goes a long way in propagating the shocks.

The extent to which there are aggregate returns to scale at the level of aggregate production has important implications both for the types of shocks generating business cycles and for optimal policy. However, prior attempts to measure the extent of these returns using instrumental variable techniques have yielded quite imprecise estimates. In this article, we show that the production shocks implied by a range of returns to scale that encompasses both large increasing returns and large decreasing returns are almost identical. This makes clear that there is a fundamental reason for the imprecision of prior estimates and casts doubt on our ability to generate more precise estimates.

This paper identifies a novel form of dynamic inconsistency of stabilization policy in increasing returns models that generate multiple equilibria. We present a two-period version of the Benhabib-Farmer (1994) externalities model and derive closed-form solutions for all endogenous variables in every perfect foresight equilibrium. We provide conditions under which the stabilization policy that maximizes time zero consumer welfare is not time consistent. Furthermore, we characterize the time consistent stabilization policy. Our results cast doubts on the usefulness of government coordination of economic activity when the government lacks a commitment mechanism. Without commitment, a benevolent government can rule out multiplicity only by ensuring that a pareto dominated equilibrium obtains.

The Great Depression in the United States was largely the result of changes in economic institutions that lowered the normal or steady-state market hours per person over 16. The difference in steady-state hours in 1929 and 1939 is over 20 percent. This is a large number, but differences of this size currently exist across the rich industrial countries. The somewhat depressed Japanese economy of the 1990s could very well be the result of workweek length constraints that were adopted in the early 1990s. These constraints lowered steady-state market hours. The failure of the Japanese people to display concern with the performance of their economy suggests that this reduction is what the Japanese people wanted. This is in sharp contrast with the United States in the 1930s when the American people wanted to work more.

This paper builds a simple but complete model of a political system to analyze the effects of intergenerational conflicts on capital and labor income tax rates, transfers, and government spending. I show how the different nature of tax liabilities for the young and the old can explain why the old receive large gross lump-sum transfers through social security, while the young receive little or none. I also show that there is a natural link between the size of the government as a provider of public goods and the magnitude of transfers that the same government will implement.

In 1995, Robert E. Lucas, Jr., was awarded the Nobel Prize in Economic Sciences. This review places Lucas’ work in a historical context and evaluates the effect of this work on the economics profession. Lucas’ central contribution is that he developed and applied economic theory to answer substantive questions in macroeconomics. Economists today routinely analyze systems in which agents operate in complex probabilistic environments to understand interactions about which the great theorists of an earlier generation could only speculate. This sea change is due primarily to Lucas.