Durable-Goods Monopoly with Varying Demand

This paper solves for the profit-maximizing strategy of a durable-goods monopolist when incoming demand varies over time. We first characterize the consumers' optimal purchasing decision by a cut-off rule. We then show that, under a monotonicity condition, the profit-maximizing cut-offs can be derived through a myopic algorithm, which has an intuitive marginal revenue interpretation. Consumers' ability to delay creates an asymmetry in the optimal price path, which exhibits fast increases and slow decreases. This asymmetry creates an upward bias in the level of prices, pushing them above the price charged by a firm facing the average level of demand. The optimal policy outperforms renting and can be implemented by a time-consistent best-price provision.     

Interpreting von neumann model prices as marginal values

The “prices” of goods in a generalized von Neumann model are shown to have the economic interpretation they naturally should have: the price of a good is, save mathematical niceties, the marginal rate at which the growth rate decreases as the consumption of that good increases.     

Endogenous Timing in a Mixed Duopoly: Price Competition

The endogenous order of moves is analyzed in a mixed duopoly for differentiated goods, where firms choose whether to set prices sequentially or simultaneously. It is shown that, in contrast to the private duopoly where firms set prices sequentially, in the mixed duopoly firms choose prices simultaneously. Moreover, the result obtained in the mixed duopoly under price competition differs from the one under quantity competition, since in the latter case decisions are taken sequentially.      

Prices and Deadweight Loss in Multiproduct Monopoly

The paper investigates prices and deadweight loss in multiproduct monopoly with linear interrelated demand and constant marginal costs. We show that, with commonly used models for linear demand such as the Bowley demand and vertically or horizontally differentiated demand, the price for each good is independent of demand cross‐effects and of the characteristics and number of other goods. This contrasts with the oft‐expressed view that prices critically depend on demand cross‐effects. We also show that for these linear models, the deadweight loss due to monopoly amounts to half the total monopoly profit. Finally, we show how a production subsidy might restore social efficiency.     

Price convergence in the European Union – What has changed?

This paper investigates price convergence in European Union countries using disaggregated price level indices in the period 1999–2016. Our results show that prices of both tradable and nontradable goods had a significantly lower dispersion in 2016 than in 1999. The convergence was faster in the case of countries with price level below the average, which can be interpreted as catching-up. However, further analysis shows that most prices converged only up to 2008. While prices of transport equipment continue to converge across the European Union, several durable consumption categories show price divergence after 2008. We attribute this to the drop in international trade of durable products due to increasing inflation and exchange rates volatility following the global financial crisis. From the monetary policy perspective, the existing price-level gaps, shown in our study, may pose a risk of higher inflation, especially in catching-up economies.     

Social welfare loss due to second-best pricing: an application to the Portuguese telecommunications

The telecommunications industry is usually characterized by low marginal costs and significant fixed costs which are the conditions for the inefficiency of marginal cost pricing. In such cases theory postulates that optimal pricing is obtained by maximizing welfare subject to a restriction of viability of the firm: the second-best pricing scheme. The possible welfare losses due to second-best pricing varies according to the values of marginal costs, prices and demand elasticities. This paper analyses to what extent the second-best pricing has been achieved in the Portuguese telecommunications firm CTT, over the period 1950#150;1984 as well as the magnitude of the price-cost margins and welfare losses created. We obtained empirical evidence of the presence of economies of scale, a welfare loss estimate of 1% of the telecommunications receipts and a result that price was 40% greater than marginal cost. We concluded that price regulation and public ownership of the firm did not seriously affect social welfare over the sample period (it should be noted that it is the non-digital and fixedwire infrastructure period). Therefore, it is important to study the impact of new digital and non-wire technologies and new services provided in the old regulatory scenery.     

The impact of trade agreements on world export prices

This paper uncovers new stylized facts on the relation between economic integration and world trade prices. Using free on board export price data for the universe of manufacturing products, we show that a country's membership in the WTO (World Trade Organization) or in a PTA (Preferential Trade Agreement) is associated with an increase in export prices of differentiated goods. For the WTO, this effect is captured by the countries that were subject to rigorous WTO accession procedures. We also exploit the importance of the depth of a PTA and of its different provisions. Whereas the effect of the depth per se is not significant, individual provisions evoke distinct effects on prices. In particular, we find that PTAs with provisions on investments are associated with higher export prices. The results are consistent with theoretical models that relate competition to the innovation behavior of firms.     

Measuring the effectiveness of cost and price competitiveness in external rebalancing of euro area countries: What do alternative HCIs tell us?

This study examines the marginal effects of traditional determinants of exports and imports with a focus on the role of price competitiveness in restoring external balances in the euro area. It is a first attempt to compare marginal effects of various harmonised competitiveness indicators (HCIs) on both exports and imports of both goods and services across individual euro area countries. We find evidence that HCIs based on broader cost and price measures have a larger marginal effect (with some exceptions) on exports of goods. Exports of services are sensitive to HCIs in big euro area countries and Slovakia, where exports of services are also found more sensitive to competitiveness indicators based on broader price measures. Imports of goods and imports of services are quite insensitive to changes in relative prices. Finally, in some cases measures of fit indicate that a large unexplained residual part is present, implying that other non-price related factors might play an important role in driving foreign trade and policies aimed at enhancing the quality of goods traded are warranted.     

SECTORAL PRODUCTIVITY GROWTH AND PRICE-MARGINAL COST MARGINS IN THE INTERMEDIATE GOODS MARKET

Models of aggregate productivity growth linked to sectoral models of production typically assume that all intermediate goods markets are perfectly competitive. An econometric analysis reveals that many intermediate goods markets exhibit transactions at prices quite different than marginal cost. Measures of productivity growth that ignore these market imperfections are biased. A measure of the actual magnitude of the bias that emerges under the assumption of equating price to marginal cost is constructed.     

RAMSEY TAXES MEET PRICE RIGIDITY

‘Ramsey taxes’ are commodity taxes that minimize deadweight loss. Evidence has shown dramatic differences in the extent of price rigidity across goods: while the prices of some goods change frequently, the prices of other goods seldom change. This paper examines Ramsey taxes in the presence of heterogeneous price rigidity. We find that, to minimize deadweight loss, lower (higher) tax rates should be imposed on goods with rigid prices if their relative prices are too high (low) relative to the would‐be situation of no price stickiness. Intuitively, Ramsey taxes remedy the relative price distortion caused by the price rigidity of some goods. We calibrate our model to data from Taiwan and the USA, showing a significant cut in welfare cost if Ramsey rather than uniform taxes are applied.     

Price dispersion and the stability of trade*

Research on trade relationships has documented a high rate of relationship breakup and churning. We use data on Norwegian exports to document two stylized facts about the stability of trade relationships. First, the probability of relationship breakup increases in the deviation of the relationship-specific price from a reference price. Second, relationship hazards follow Zipf's law. We propose a search model with limited information and search frictions to explain these facts. Reference prices provide information on outside trade options that inform optimal breakups, leading to the first stylized fact. Strong heterogeneity in breakup frictions across relationships can explain the Zipf's law hazards.     

When redistribution makes personalized pricing of externalities useless

We consider a standard optimal taxation framework in which consumers' preferences are separable in consumption and labor and identical over consumption, but are affected by consumption externalities. For every nonlinear, income-dependent pricing of goods there is a linear pricing scheme, combined with an adjusted income tax schedule, that leaves all consumers equally well-off and weakly increases the government's budget. The result depends on whether a linear pricing scheme exists that keeps the aggregate amount of consumption at its initial level observed under nonlinear pricing. We provide sufficient conditions for the assumption to hold. If adjusting the income tax rate is not available, personalized prices for an externality can enhance social welfare if they are redistributive, that is, favor consumers with a larger marginal social value of income.     

Bubbles in UK house prices: evidence from ESTR models

Recent movements in stock and house prices have led to an examination of the presence of bubbles. Whilst, there is extensive research on stock price data, there is relatively less for house prices. This paper uses a present‐value model for house prices to test for the presence of bubbles. The results support the presence of a non‐fundamental component within UK national and regional house prices. In particular, for the majority of series considered, evidence is presented of linear non‐stationarity within the fundamental present‐value relationship, and of non‐linear stationarity, implying the presence of a non‐fundamental, or bubble, component. Furthermore, evidence is presented that prices adjust quicker when they are below fundamental equilibrium, than when they are above fundamental equilibrium, i.e. there is downward price stickiness. These results support the hypothesis that house price dynamics can be characterised by price‐to‐price momentum. Finally, forecast evidence suggests that real prices are likely to adjust downwards and converge with fundamental value.     

Ascending price Vickrey auctions

We show that an ascending price auction for multiple units of a homogeneous object proposed by Ausubel (i) raises prices for packages until they reach those nonlinear and non-anonymous market clearing prices at which bidders get their marginal products and (ii) the auction is a primal–dual algorithm applied to an appropriate linear programming formulation in which the dual solution yields those same market clearing prices. We emphasize the similarities with efficient incentive compatible ascending price auctions to implement Vickrey payments when there is a single object or when objects are heterogeneous but each buyer does not desire more than one unit. A potential benefit of these common threads is that it helps to establish the principles upon which Vickrey payments may be implemented through decentralized, incentive compatible procedures.     

On volatility of prices in arbitrage-free markets

Summary This paper addresses the question of what one can learn about the dynamics of an economy from observing cross-sectional and time series variations in the volatility of prices in an arbitrage-free securities market. We introduce the notions of stochastic derivatives, marginal risk-adjusted growth rates, and marginal risk exposure in a single factor economy. We show that future variations in the state of the economy are due to two independent sources: the marginal risk-adjusted growth rate and the changes in marginal risk exposure. Using the martingale characterization of arbitrage-free prices, together with a martingale representation formula due to Haussmann (1978), we show that cross sectional variations in price volatility of assets with linear payoffs can be used to identify the sum of these two sources. Measurements of price volatility for assets with linear payoffs are not sufficient for complete identification of the independent determinants of possible future variations in the economy. However, using the volatility of prices of options on the state variable, we can identify the stochastic derivative and hence compute the price volatility of any path independent contingent claim.I am grateful to David Kreps and Kenneth Singleton for helpful conversations and to an anonymous referee for useful remarks. Financial support from Stanford Graduate School of Business Faculty Fellowship is gratefully acknowledged.     

SSNIP, state-owned enterprises, public goods and complements

State-owned enterprises sometimes operate in markets below marginal costs in order to provide public goods. In practice it happens that they can cross-subsidize their activity in other markets since regulation is not perfect. Based on a simple model, I show that such cross-subsidization reduces at least consumer welfare. In competition law, the SSNIP test is used to identify market power. If the state-owned enterprises have some scope for price discrimination, the paper argues that the paradox of the SSNIP test that companies operating below marginal costs are a monopolist on a ??relevant market?? makes sense. The paper recommends imposing a duty to deal as a special responsibility for these companies. Finally, it is argued that some criteria are necessary to refine the applicability of competition law in such situations. Subadditivity of the underlying cost structure should be one sufficient condition to apply competition law.     

Conservation Incentives for Consumers

This paper investigates profit-maximizing conservation incentives of a utility, where the interest in conservation results from prices regulated below the marginal costs of supply and where consumers differ with respect to their subjective time preference. Conventional least-cost planning implies that a program should focus on inefficient consumers (those who apply high discount rates). However, this scheme provokes strategic reactions of the consumers. Hence, incentive-compatible conservation schemes-one tied to efficiency, the other tied to electricity consumption-are derived that differ starkly from the above finding and from actual programs.     

Pricing flexibility under rate-of-return regulation: Effects on network infrastructure investment

When a commodity market relies upon a regulated network service industry—e.g., telecommunications, electricity, or natural gas transmission—economic efficiency in that commodity market is a crucial consideration for regulatory design. This is because insufficient infrastructure investment relative to network demand results in congestion. The extraction of associated rents has distortionary effects on commodity spot market prices. Greater regulatory flexibility in network pricing can alleviate such issues by cultivating the incentives needed for stakeholders to invest in transmission capacity. To illustrate this effect I derive and numerically solve stylized optimality conditions for access and usage prices for a gas pipeline operator under alternative regulatory models. My results have general implications for regulation in network infrastructure industries, as energy and telecommunications markets are expected to expand considerably over the coming decades.     

A Macrotheoretic Model of the Chinese Economy

A stylized model of the Chinese economy is developed with three production sectors: agriculture, nontraded industrial goods, and industrial exports. The state purchases food from farmers by dual-track pricing; urban food sales are subsidized through ration coupons. Marginal prices clear markets except that currency controls constrain the availability of intermediates, the only imports. Devaluation is found to stimulate real variables, but deflates money variables; the reverse occurs with monetary expansion or raising the plan-track food procurement price. Lowering urban food subsidies or raising enterprise taxation reduces the budget deficit, reduces open and disguised unemployment, and deflates nominal prices.     

The Behaviour of the Real Exchange Rate: Evidence from an Alternative Price Index

Although the long–run purchasing power parity (PPP) hypothesis is expected to hold across tradable goods, all price indices available to researchers for testing the validity of PPP contain some proportion of non–tradable goods prices, which may generate substantial persistence in the real exchange rate. We construct time series for quarterly price indices that minimize the presence of non–tradable goods for six major economies. Applying recently developed nonlinear econometric techniques to the resulting five US dollar real exchange rate series for the recent floating exchange rate regime, we provide evidence that the nonlinear mean reverting properties of these real exchange rate series are stronger than the mean reverting properties of real exchange rate time series constructed using the consumer price index (CPI). In turn, these results have a natural economic interpretation.
(J.E.L.: F31).