Adjustment is Much Slower than You Think

In most instances, the dynamic response of monetary and other policies to shocks is infrequent and lumpy. The same holds for the microeconomic response of some of the most important economic variables, such as investment, labor demand, and prices. We show that the standard practice of estimating the speed of adjustment of such variables with partial-adjustment ARMA procedures substantially overestimates this speed. For example, for the target federal funds rate, we find that the actual response to shocks is less than half as fast as the estimated response. For investment, labor demand and prices, the speed of adjustment inferred from aggregates of a small number of agents is likely to be close to instantaneous. While aggregating across microeconomic units reduces the bias (the limit of which is illustrated by Rotemberg's widely used linear aggregate characterization of Calvo's model of sticky prices), in some instances convergence is extremely slow. For example, even after aggregating investment across all establishments in U.S. manufacturing, the estimate of its speed of adjustment to shocks is biased upward by more than 80 percent. While the bias is not as extreme for labor demand and prices, it still remains significant at high levels of aggregation. Because the bias rises with disaggregation, findings of microeconomic adjustment that is substantially faster than aggregate adjustment are generally suspect.

Competition In or For the Field: Which Is Better?

A principal, who wants prices to be as lowas possible, contracts with agents who would like to charge the monopoly price. The principal chooses between a Demsetz auction, which awards an exclusive contract to the agent bidding the lowest price (competition for the field) and having two agents provide the good under (imperfectly) competitive conditions (competition in the field). We obtain a simple sufficient condition showing unambiguously which option is best. The condition depends only on the shapes of the surplus function of the principal and the profit function of agents, and is independent of the particular duopoly game played ex post. We apply this condition to three canonical examples -- procurement, royalty contracts and dealerships -- and find that whenever marginal revenue for the final good is decreasing in the quantity sold, the principal prefers a Demsetz auction. Moreover, a planner who wants to maximize social surplus also prefers a Demsetz auction.Demsetz auction, Double marginalization, Franchising, Joint vs. separate auctions, Monopoly, Procurement, Dealerships, Royalty contracts

Price Stickiness in Ss Models: New Interpretations of Old Results

What is the relation between infrequent price adjustment and the dynamic response of the aggregate price level to monetary' shocks? The answer to this question ranges from a one-to-one link (Calvo, 1983) to no connection whatsoever (Caplin and Spulber, 1987). The purpose of this paper is to provide a unified framework to understand the mechanisms behind this wide range of results. In doing so, we propose new interpretations of key results in this area, which in turn suggest the kind of Ss model that is likely to generate substantial price rigidity. The first result we revisit is Caplin and Spulber's monetary neutrality model. We show that when price stickiness is measured in terms of the impulse response function, this result is not a consequence of aggregation, but is due instead to the absence of price-stickiness at the microeconomic level. We also show that the “selection effect,” according to which units that adjust their prices are those that benefit the most, is neither necessary nor sufficient to account for the higher aggregate flexibility of Ss-type models compared to Calvo models. Instead, the key concept is the contribution of the extensive margin of adjustment to the aggregate price response. The aggregate price level is more flexible than suggested by the microeconomic frequency of adjustment if and only if this term is positive.Aggregate price stickiness, adjustment hazard, adjustment frequency,generalized Ss model, extensive margin, Calvo model,strategic complementarities

Highway Franchising and Real Estate Values

It has become increasingly common to allocate highway franchises to the bidder that offers to charge the lowest toll. Often, building a highway increases the value of land held by a small group of developers, an effect that is more pronounced with lower tolls. We study the welfare implications of highway franchises that benefit large developers, focusing on the incentives developers have to internalize the effect of the toll they bid on the value of their land. We study how participation by developers in the auction affects equilibrium tolls and welfare. We find that large developers bid more aggressively than construction companies that own no land. As long as land ownership is sufficiently concentrated, allowing developers in the auction leads to lower tolls and higher welfare. Moreover, collusion among developers is socially desirable. We also analyze the case when the franchise holder can charge lower tolls to those buying her land (`toll discrimination'). Relative to uniform tolls, discrimination decreases welfare when land is highly concentrated, but increases welfare otherwise. Finally, we consider the welfare implications of subsidies and bonuses for proposing new highway projects.

Price Stickiness in Ss Models: New Interpretations of Old Results

What is the relation between infrequent price adjustment and the dynamic response of the aggregate price level to monetary shocks? The answer to this question ranges from a one-to-one link (Calvo, 1983) to no connection whatsoever (Caplin and Spulber, 1987). The purpose of this paper is to provide a unified framework to understand the mechanisms behind this wide range of results. In doing so, we propose new interpretations of key results in this area, which in turn suggest the kind of Ss model that is likely to generate substantial price rigidity. The first result we revisit is Caplin and Spulber's monetary neutrality model. We show that when price stickiness is measured in terms of the impulse response function, this result is not a consequence of aggregation, but is due instead to the absence of price-stickiness at the microeconomic level. We also show that the "selection effect," according to which units that adjust their prices are those that benefit most, is neither necessary nor sufficient to account for the higher aggregate flexibility of Ss-type models compared to Calvo models. Instead, the key concept is the contribution of the extensive margin of adjustment to the aggregate price response. The aggregate price level is more flexible than suggested by the microeconomic frequency of adjustment if and only if this term is positive.

Missing Aggregate Dynamics: On the Slow Convergence of Lumpy Adjustment Models

The dynamic response of aggregate variables to shocks is one of the central concerns of applied macroeconomics. The main measurement procedure for these dynamics consists of estimmiating an ARMA or VAR (VARs, for short). In non- or semi-structural approaches, the characterization of dynamics stops there. In other, more structural approaches, researcher try to uncover underlying adjustment cost parameters from the estimated VARs. Yet, in others, such as in RBC models, these estimates are used as the benchmark over which the success of the calibration exercise, and the need for further theorizing, is assessed. The main point of this paper is that when the microeconomic adjustment underlying the corresponding aggregates is lumpy, conventional VARs procedures are often inadequate for all of the above practices. In particular, the researcher will conclude that there is less persistence in the response of aggregate variables to aggregate shocks than there really is. Paradoxically, while idiosyncratic productivity and demand shocks smooth away microeconomic non-convexities and are often used as a justification for approximating aggregate dynamics with linear models, their presence exacerbate the bias. Since in practice idiosyncratic uncertainty is many times larger than aggregate uncertainty, we conclude that the problem of missing aggregate dynamics is prevalent in empirical and quantitative macroeconomic research.Speed of adjustment, Discrete adjustment, Lumpy adjustment, Aggregation, Calvo model, ARMA process, Partial adjustment, Expected response time, Monetary policy, Investment, Labor demand, Sticky prices, Idiosyncratic shocks, Impulse response function, Time-to-build

Three Strikes and You.re Out: Reply to Cooper and Willis

Cooper and Willis (2003) is the latest in a sequence of criticisms of our methodology for estimating aggregate nonlinearities when microeconomic adjustment is lumpy. Their case is based on "reproducing" our main findings using artificial data generated by a model where microeconomic agents face quadratic adjustment costs. That is, they supposedly find our results where they should not be found. The three claims on which they base their case are incorrect. Their mistakes range from misinterpreting their own simulation results to failing to understand the context in which our procedures should be applied. They also claim that our approach assumes that employment decisions depend on the gap between the target and current level of unemployment. This is incorrect as well, since the 'gap approach' has been derived formally from at least as sophisticated microeconomic models as the one they present. On a more positive note, the correct interpretation of Cooper and Willis's results shows that our procedures are surprisingly robust to significant departures from the assumptions made in our original derivations.Adjustment hazard, aggregate nonlinearities, lumpy adjustment, observed and unobserved gaps, quadratic adjustment

Highway Franchising and Real Estate Values

It has become increasingly common to allocate highway franchises to the bidder that offers to charge the lowest toll. Often, building a highway increases the value of land held by a small group of developers, an effect that is more pronounced with lower tolls. We study the welfare implications of highway franchises that benefit large developers, focusing on the incentives developers have to internalize the effect of the toll they bid on the value of their land. We study how participation by developers in the auction affects equilibrium tolls and welfare. We find that large developers bid more aggressively than construction companies that own no land. As long as land ownership is sufficiently concentrated, allowing developers in the auction leads to lower tolls and higher welfare. Moreover, collusion among developers is socially desirable. We also analyze the case when the franchise holder can charge lower tolls to those buying her land ('toll discrimination'). Relative to uniform tolls, discrimination decreases welfare when land is highly concentrated, but increases welfare otherwise. Finally, we consider the welfare implications of subsidies and bonuses for proposing new highway projects.Demsetz auctions, highway concessions, private participation in infrastructure

How to Auction an Essential Facility When Underhand Integration is Possible

Regulating seaports is difficult in general, even more so for the weak regulatory institutions common in developing countries. For this reason some countries have awarded these facilities via Demsetz auctions, to the port operator that bids the lowest cargo-handling fee. A major concern with Demsetz auctions in this context, is that the winning operator may integrate with a shipper and monopolize the shipping market, by worsening the service quality for competing shippers. The standard policy recommendation against service quality discrimination is to ban the seaport from operating in the shipping market. The effectiveness of such prohibitions is suspect, however, because they can be circumvented by an (illegal) underhand agreement between the port operator and the shipper. In this paper we show that a ban on integration increases welfare if it is combined with a (sufficiently high) floor on the cargo-handling fee that operators can bid in the auction. In the absence of such a floor, however, a Demsetz auction is worse than no regulation at all of the bottleneck monopoly. Our results apply beyond the port and shipping markets, to any essential facility that can monopolize a downstream market. The results only require that profits with underhand vertical integration agreements be less than with legal vertical integration.auctions, ex ante vs. ex post rents, Demsetz auctions, hidden action, monopoly regulation, productive efficiency, vertical integration