A test of monopoly price dispersion under demand uncertainty

A test of the predictions of Dana’s (2001) model of monopoly price dispersion under demand uncertainty using ticket price data from Major League Baseball shows that ticket price dispersion changes systematically with demand uncertainty, verifying the predictions of the model.     

THE MORPHOLOGY OF PRICE DISPERSION

This article is a study of the shape and structure of the distribution of prices at which an identical good is sold in a given market and time period. We find that the typical price distribution is symmetric and leptokurtic, with a standard deviation between 19% and 36%. Only 10% of the variance of prices is due to variation in the expensiveness of the stores at which a good is sold, whereas the remaining 90% is due, in approximately equal parts, to differences in the average price of a good across equally expensive stores and to differences in the price of a good across transactions at the same store. We show that the distribution of prices that households pay for the same bundle of goods is approximately Normal, with a standard deviation between 9% and 14%. Half of this dispersion is due to differences in the expensiveness of the stores where households shop, whereas the other half is mostly due to differences in households' choices of which goods to purchase at which stores. We find that households with fewer employed members pay lower prices and do so by visiting a larger number of stores instead of by shopping more frequently.     

Quality uncertainty and time inconsistency in a durable good market

In a durable good monopoly where consumers cannot observe quality prior to purchase and product improvement occurs exogenously over time, I show that uncertainty in quality may resolve the time inconsistency problem (even for low levels of product improvement). Higher dispersion in quality creates greater demand for future product by increasing the incentive of buyers with inferior quality realizations to repeat purchase and this, in turn, reduces the incentive of the seller to cut future price. For various levels of product improvement, I characterize the range of quality uncertainty for which the market equilibrium is identical to one where the monopolist can credibly precommit to future prices. I also show that the presence of quality uncertainty can lead to no trading in the primary good market. Further, in contrast to the literature on the Coase conjecture, inability to precommit to future prices can reduce social welfare as a result of the market closure.     

Product quality and firm heterogeneity in international trade

This paper quantifies the separate contributions of product quality and technical efficiency in explaining variation in export outcomes across US manufacturing plants. Unlike previous studies that rely on unit values, I estimate idiosyncratic demand from price and quantity information. I find substantial across‐plant heterogeneity in demand, and consistent with the quality interpretation, demand is positively correlated with advertising expenditures, wage rates and material costs. I use this variation to explain across‐plant heterogeneity in export outcomes. The results show that, in addition to productivity, idiosyncratic demand is an important determinant of selection into exporting and the levels of foreign sales.     

Trading mechanism selection with directed search when buyers are risk averse

We endogenize the trading mechanism selection in a model of directed search with risk averse buyers and show that the unique symmetric equilibrium entails all sellers using fixed price trading. Mechanisms that prescribe the sale price as a function of the realized demand (auctions, bargaining, discount pricing, etc.) expose buyers to the “price risk”, the uncertainty of not knowing how much to pay in advance. Fixed price trading eliminates the price risk, which is why risk averse customers accept paying more to shop at such stores.     

Food Prices and Market Structure in Sweden

This paper examines retail grocery price levels across a large panel of stores in Sweden. We explain price variation across stores by market structure variables to capture differences in competition intensity and a number of store– and region–specific factors. Most of the explained variation in prices can be attributed to store–specific factors such as size and chain affiliation. Overall, the relation between market structure variables and food prices is weak, and effects are small in percentage terms. Nevertheless, higher local concentration of stores, higher regional wholesaler concentration and a lower market share of large stores are all correlated with higher prices.
JEL classification : D 43; L 13; L 81     

Inflation and Price Adjustment: An Analysis of Microdata

I use large datasets on prices by products and stores from recent inflationary periods in Israel to compare simple menu cost models with simple uncertain and sequential trade (UST) models. The main empirical findings are (a) price erosion due to inflation explains only a tiny fraction of the variation in nonzero nominal price changes, (b) stores whose last nominal price change was relatively low are likely to choose a nominal price change that is relatively high, (c) stores that reduce their nominal price charge a lower price relative to stores that increase their nominal price, and (d) relative price variability is not related to inflation. Journal of Economic Literature Classification Numbers: E300, E310, D210.     

PRODUCT QUALITY UNDER TWO-PRONGED UNCERTAINTY*

This paper builds on a model by Mikami (1991) to explore the effects of uncertainty on the producer's choice of product quality when (1) quality influences demand price and (2) producers are not risk takers. It is shown that even risk-neutral producers might make different quality choices under uncertainty and that those choices will depend upon the explicit way in which uncertainty influences the demand price.     

RISKY PRODUCTION WITH EX-ANTE PRICES UNDER MONOPOLY ANALYTICAL AND SIMULATION RESULTS

This paper concerns the case of a monopolist facing multiplicative uncertainty in demand. Karlin and Carr (1962), henceforth KC, show that, when price and production are both chosen ex ante , the uncertainty price exceeds the certainty price. They also give a sufficient condition under which the firm locates above the certainty demand curve, but they do not consider the effect on the output level. In this note we replicate the KC results and then go further. In the special case that the price elasticity of certainty demand is constant, and the probability distribution for the uncertainty parameter in the demand function is uniform, output is unambiguously lower under uncertainty, and KC's condition for the firm to locate above the certainty demand curve can be strengthened to one that is both necessary and sufficient. The robustness of these results is tested under less stringent assumptions on demand, abandoning symmetry for a lognormal distribution of the uncertainty parameter. Simulation confirms that the results hold up, and also determines the effects upon the firm's decisions of an increase in demand uncertainty.     

THE PROPAGATION OF UNCERTAINTY SHOCKS: ROTEMBERG VERSUS CALVO

This article studies the effects of uncertainty shocks on economic activity, focusing on inflation. Using a vector autoregression, I show that increased uncertainty has negative demand effects, reducing GDP and prices. I then consider standard New Keynesian models with Rotemberg-type and Calvo-type price rigidities. Despite the belief that the two schemes are equivalent, I show that they generate different dynamics in response to uncertainty shocks. In the Rotemberg model, uncertainty shocks decrease output and inflation, in line with the empirical results. By contrast, in the Calvo model, uncertainty shocks decrease output but raise inflation because of firms' precautionary pricing motive.     

Nominal Wage Flexibility and Economic Performance: Evidence and Implications Across Industrial Countries

By considering the theoretical connection between labour and product markets, the paper evaluates the economic relationship of these markets within the contractual wage rigidity New Keynesian explanation of business cycles. The empirical analysis focuses on the short‐run cyclical behaviour of real output, prices and wages for 19 industrial countries. Time‐series and cross‐sectional regressions are estimated. Cross‐sectional cyclical correlations in the labour and goods markets are also evaluated across countries. Consistent with the theoretical predictions, aggregate uncertainty is an important factor in increasing the flexibility of the nominal wage in response to aggregate demand shocks. Wage flexibility accelerates price inflation and moderates the response of real output growth to aggregate demand shocks. Wage flexibility does not appear to be an important factor in differentiating the real and inflationary effects of energy price shocks across countries. Finally, aggregate uncertainty increases the responsiveness of output and price to productivity shocks.     

Economic stress and cigarette smoking: Evidence from the United States

This paper uses pooled data on U.S. states for the post-MSA period to estimate the demand for cigarettes, with the main contribution lying in considering the effects of economic stress/uncertainty. Different measures of economic stress – standard deviations and averages of unemployment and property prices – are considered. Greater economic stress is found to lower cigarette smoking across various specifications. Other findings largely support the literature on cigarette demand — price effects are negative, border price effects are positive and the effect of income is negative.     

Foreign direct investment and the correlation between cost and revenue

This paper studies irreversible investment in the presence of uncertain revenue and uncertain cost of production. Using methodology of real options, we find the threshold markup of price over cost that triggers investment. When the processes for revenue and cost are negatively correlated, the standard result that uncertainty delays investment always holds. However, when these two processes are positively correlated, greater uncertainty of revenue or cost might accelerate investment. As less correlated cost and revenue, vertical FDI is less desirable than producing at home, but horizontal FDI that brings production to the output market is an advantage.     

SELLING A LEMON UNDER DEMAND UNCERTAINTY

We consider a seller who has private information about the quality of her good but is uncertain about buyer arrivals. Assuming that the high‐quality seller insists on a price, we show that the low‐quality seller's surplus and pricing strategy crucially depend on buyers' knowledge about the demand state. If they are also uncertain about demand, then demand uncertainty increases the low‐quality seller's expected payoff, and her optimal strategy is to lower the price after some time. If buyers know the demand state, then demand uncertainty does not affect the low‐quality seller's payoff, but she must employ a sophisticated pricing strategy.     

Price Dispersion and the Role of Stores*

In this paper, we study price dispersion in the Norwegian retail market for 766 products across 4,297 stores over 60 months. Price dispersion for homogeneous products is significant and persistent, with a coefficient of variation of 37 percent for the median product. Price dispersion differs between product categories and over time. Store heterogeneity accounts for 30 percent of the observed variation in prices for the median product–month, and for around 50 percent for the sample as a whole. Price dispersion is still prevalent after correcting for store heterogeneity.     

Demand Shift across US Industries and the Stabilizing Function of Nominal Wage and Price Flexibility.

Nominal wage and price adjustments in response to demand shocks are likely to determine industrial output variability. The direction of this relationship is complicated, however, by demand and supply factors. The empirical investigation across a sample of private industries in the United States produces the following evidence. Price flexibility moderates the response of the output supplied to a given shift in industrial demand. Similarly, nominal wage flexibility moderates, although insignificantly, the output response to a given shift in industrial demand. The size of industrial demand shifts dominates, however, supply-side constraints in differentiating output fluctuations across industries. While price flexibility moderates shifts in industrial demand in response to aggregate demand shocks, these shifts are larger the higher the nominal wage flexibility across industries. The combined supply and demand effects differentiate the stabilizing function of nominal wage and price flexibility. Nominal wage flexibility increases output fluctuations in response to aggregate demand shocks. In contrast, output fluctuations are smaller the larger the price adjustment to demand shocks across industries. Given the endogeneity of price flexibility, it is necessary to control for variation in demand variability in order to reveal the stabilizing effect of price flexibility on output across industries.     

RETAIL PRICE REGULATION AND THE OPTION TO DELAY

ABSTRACT ** :  This paper examines a two-period model of an investment decision in a network industry characterized by demand uncertainty, economies of scale and sunk costs. In the absence of regulation we identify the market conditions under which a monopolist decides to invest early as well as the underlying overall welfare output. In a regulated environment, we consider a monopolist who faces no downstream (final good) competition but is subject to retail price regulation. We identify the welfare-maximizing regulated prices when the unregulated market outcome is set as the benchmark. We show that if the regulator can commit to ex post regulation – that is, regulated prices that are contingent to future demand realization – then regulated prices that allow the firm to recover its total costs of production are welfare-maximizing. Thus, under ex post price regulation there is no need to compensate the regulated firm for the option to delay that it foregoes when investing today. We argue, however, that regulators cannot make this type of commitment and, therefore, price regulation is often ex ante – that is, regulated prices are not contingent to future demand. We show that the optimal ex ante regulation, and the extent to which regulated prices need to incorporate an option to delay, depend on the nature of demand uncertainty.     

Firms’ investment decisions in response to demand and price uncertainty

We investigate the effect of demand and price uncertainty on firms’ planned and realized investment from a panel of manufacturing firms. Uncertainty measures are derived from firms’ own expectations about demand and prices and firm's sales. We find that demand uncertainty at the time of planning depresses planned and subsequent realized investment. Firms do not revise their plans due to demand uncertainty at the time of spending, suggesting that reducing demand uncertainty will only have lagged effects on investment. We do not find any effect of price uncertainty. Our results are consistent with the behaviour of monopolistic firms with irreversible capital.     

Geographic price dispersion in retail markets: Evidence from micro-data

Using an extensive micro-price data of 266 retail goods and services across US, EU and OECD cities between 1990 and 2005, we study characteristics of geographic dispersion of deviations from the Law of One Price. We find that the magnitude of price dispersion is a function of the characteristics of both the type of good and set of locations under examination. Higher share of non-traded inputs and lower tradability of goods are both found to contribute to geographic price dispersion, with the former typically dominating in explanatory power. The role of tradability of good in accounting for the price dispersion is more significant as we move beyond an economic geography, while non-traded input level matters relatively more if we move to the interior of this geography. Our evidence suggests that the models of real exchange rates should incorporate the classical distinction between traded inputs and local inputs as well as a role for relative markups and traditional trade costs.     

Semicollusion vs. Full Collusion: The Role of Demand Uncertainty and Product Substitutability

We examine the profitability of two different cartel organizational forms: full collusion, under which firms collude on both price and quality, and semicollusion, under which firms collude on price only. We show that, in the presence of demand uncertainty that cannot be contracted upon in the cartel agreement, firms may be better off limiting their collusive agreement to price only. However, a positive relationship between demand uncertainty and the relative profitability of semicollusion exists only for low levels of demand substitutability. The converse is true for high levels of demand substitutability. Therefore, if demand substitutability is sufficiently high, no level of demand uncertainty will make semicollusion the optimal organizational form. In contrast, semicollusion is guaranteed to be optimal for a sufficiently low level of demand substitutability. The market structure described is motivated by and closely parallels that of shipping cartels. Received September 29, 2000; revised version received December 10, 2001 Published online: November 11, 2002