A general-equilibrium model of a traditional Soviet-type economy

This paper presents an abstract, static model of a traditional Soviet-type economy, in which there are three kinds of agents (planners, firms, and consumers). A quantity-oriented incentive system for managers is described, as is a planners' allocation mechanism. There are technology-determined prices for producer goods and market prices for labor and consumer goods, which are sold by retail stores from which the planners collect a turnover tax. There are also profit and income taxes. A consumer-market equilibrium is shown to exist for each plan, and the results of simulations using fixed-point computation techniques are discussed. J. Comp. Econ., June 1977, 1(2), pp. 147–165. International Monetary Fund, Washington, D.C.     

Heterogeneity and fine wine prices: application of the quantile regression approach

ABSTRACT

This study addresses the price heterogeneity of the five first growths of Bordeaux. We apply the quantile regression (QR) approach with market segmentation based on wine bottle price quantiles. We compute the hedonic price of wine attributes for various price segments in the market. This approach is applied to a major dataset comprising approximately 50,000 transactions over the 2003–2017 period. The findings indicate that the relative hedonic prices of several wine attributes differ significantly among deciles. The implications of our results are manifold. Vintage and Parker grades have a strong impact on the variation in wine prices, and there is a hierarchy among the five first growths of Bordeaux. There is also a premium commanded by the reputation and experience of an auction house. Since the financial crisis of 2012–2013, investors have considered that the five first growths are overrated, save for the most expensive wines; for those most expensive ones, investors prefer scarcity to liquidity. These results are of import to several actors in the fine wine market: investors, for example, could use the findings herein to better diversify their wine portfolio, while auction houses could better anticipate their future sales based on consumers’ expectation.     

Product variety and price strategy in the ski manufacturing industry

The present paper aims at examining the role of variety in the ski manufacturing industry and its relevance in firms’ price setting strategies. In particular, it intends to investigate and to empirically test three hypotheses concerning the relations between: product quality and prices; variety in technical characteristics and prices; variety in service characteristics and prices. Our empirical investigation finds that prices are positively affected by product quality and positively affected by variety in service characteristics. This means that a high degree of product variety allows firms to charge a premium price on consumers, who are able to find the product that best meets their needs and are therefore willing to pay a higher price. By contrast, variety in technical characteristics negatively impacts prices. In a context where a dominant design has emerged and new varieties are not radically different from each other, the gains in economies of scale and scope outweigh the costs of the increased flexibility in the equipment required to produce variety.

PLATFORM COMPETITION WITH ENDOGENOUS HOMING

We consider two-sided markets in which consumers and firms endogenously determine whether they single-home, multi-home, or exit the market. We find that the competitive bottleneck allocation in which consumers single-home and firms multi-home is always an equilibrium. In addition, we find equilibria with multi-homing and single-homing on each side of the market. However, unlike the standard pricing result where the side that multi-homes faces higher prices, we find that lower prices coincide with multi-homing: agents find multi-homing more attractive when faced with lower prices. We also show that endogenous homing can induce straddle pricing which deters price undercutting between platforms.     

On the distribution of product price and quality

We investigate the structure of demand by focusing on the distribution of prices within narrowly-defined classes of goods. We observe considerable heterogeneity—products that are functionally similar but presumably of different ‘quality’ may sell at very different prices. We analyze distribution of prices for bottles of wine, used cars, houses in London and week-long holidays in Majorca, and observe in each case that the the resulting distribution is more skewed than the lognormal but less skewed than a Pareto distribution. We then present a theoretical model whereby products can distinguish themselves along multiple hedonic dimensions of ‘performance’, with these product attributes being random variables subject to multiplicative interactions. Variations of this model can reproduce a lognormal price distribution and a Pareto distribution as lower and upper bound benchmarks (respectively).

Risk-aversely efficient random variables: Characterization and an application to growth under uncertainty

Consider a problem of choice from a set R of multivariate random variables. Let us examine only efficient elements of R which are optimal choices of risk averse decision-makers (whose aim is to maximize expected utility over R). We obtain a price characteristic of all risk-aversely efficient random variables in R. This result has been applied to multi-sector optimal growth model to obtain a characterization by competitive prices of all risk-aversely efficient stationary consumption programs.     

Notes on optimal transportation

We study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each consumer buys 0 or 1 unit, and each supplier sells 0 or 1 unit. Consumer types, supplier types and qualities can be either discrete of continuous, in which case they are allowed to be multidimensional. Prices play a double role: they keep some agents out of the market, and they match the remaining ones pairwise. We define equilibrium prices and equilibrium distributions, and we prove that equilibria exist, we investigate to what extend equilibrium prices and distributions are unique, and we prove that equilibria are efficient. In the particular case when there is a continuum of types, and a generalized Spence–Mirrlees condition is satisfied, we prove the existence of a pure equilibrium, where demand distributions are in fact demand functions, and we show to what extent it is unique. The proofs rely on convex analysis, and care has been given to illustrate the theory with examples.     

An econometric analysis of the effects of market liberalization on price dynamics and price volatility

The paper investigates price dynamics under market liberalization, with a focus on the effects of lowering price floors. We analyze price dynamics by specifying and estimating a dynamic Tobit model under time-varying volatility, where the market price is censored by a government-set support price. The model is applied to the U.S. butter market over the last three decades. The econometric results show how the price support program affects both expected prices and the volatility of prices. It is found that the censoring effects of a price support program can be significant and large even if the price support is set relatively low.

Optimum commodity taxation in pooling equilibria

This paper extends the standard model of optimum commodity taxation (Ramsey, F., 1927. A Contribution to the Theory of Taxation. Economic Journal 37, 47–61; Diamond, P., Mirrlees, J., 1971. Optimal Taxation and Public Production, II: "Tax Rules". American Economic Review 61, 261–278) to a competitive economy in which markets are inefficient due to asymmetric information. Insurance markets are prime examples: consumers impose varying costs on suppliers but firms cannot associate costs with individual customers and consequently all are charged equal prices. In such a competitive pooling equilibrium, the price of each good is equal to the average of individual marginal costs weighted by equilibrium quantities. We derive modified Ramsey–Boiteux Conditions for optimum taxes in such an economy and show that, in addition to the standard formula, they include first-order effects which reflect the deviations of prices from marginal costs and the response of equilibrium quantities to the taxes levied. An explanation of the additional terms is provided. It is shown that a condition on the monotonicity of demand elasticities enables to sign the direction of the deviations from the standard case.     

Soviet agricultural procurement pricing: A study in perversity

The relationship between Soviet agricultural procurement prices and quantities is examined in the light of the existence of bonuses for above-trend sales (BATS) and zonal price differentiation (ZPD). That BATS leads to a positive relationship between prices and quantities as harvest conditions vary is shown to hold for the individual farm. Planners are apt, however, to be more concerned with the “average” price of a crop, which is closely related to the subsidy bill. This price is more likely to be “perverse” under ZPD than BATS, although neither guarantees perversity. Data suggest that such perversity is a common occurrence. J. Comp. Econ., March 1985, 9(1), pp. 24–45. Illinois State University, Normal, Illinois 61761.     

Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types

We study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each consumer buys 0 or 1 unit, and each supplier sells 0 or 1 unit. Consumer types, supplier types and qualities can be either discrete of continuous, in which case they are allowed to be multidimensional. Prices play a double role: they keep some agents out of the market, and they match the remaining ones pairwise. We define equilibrium prices and equilibrium distributions, and we prove that equilibria exist, we investigate to what extend equilibrium prices and distributions are unique, and we prove that equilibria are efficient. In the particular case when there is a continuum of types, and a generalized Spence–Mirrlees condition is satisfied, we prove the existence of a pure equilibrium, where demand distributions are in fact demand functions, and we show to what extent it is unique. The proofs rely on convex analysis, and care has been given to illustrate the theory with examples.     

Key market values for bottled wine in an emerging market: product attributes or business strategy?

ABSTRACT

This article focuses on the emerging bottled Chilean red wine market and studies the main determinants of the consumer price of wine sold on the domestic market. A hedonic price function was estimated for a sample of 810 wines using a quantile regression (QR) model. The database contains three variable groups to explain price: objective variables (national, international and vine quality designations), subjective variables (wine score) and business strategies used by wine producers. Results show that some objective variables have a greater impact on price than the wine score (a subjective variable) and business strategies, which vary for each quartile of prices analysed. Finally, this information will allow companies to design and implement marketing strategies to inform the consumer about the importance of some variables in the price of their product.     

Consumer search markets with costly revisits

This paper characterizes equilibrium outcomes in consumer search markets taking the cost of going back to stores already searched explicitly into account. We show that the optimal sequential search rule under costly revisits is very different from the traditional reservation price rule in that it is non-stationary and not independent of previously sampled prices. We explore the implications of costly revisits on market equilibrium in two celebrated search models. In the Wolinsky model, some consumers search beyond the first firm. In this class of models, costly revisits do make a substantive difference and their impact can be of the same order of magnitude as the initial search cost. In the Stahl oligopoly search model where consumers do not search beyond the first firm, there remains a unique symmetric equilibrium that has firms use pricing strategies that are identical to the perfect recall case.     

The communication requirements of efficient allocations and supporting prices

We show that any communication finding a value-maximizing allocation in a private-information economy must also discover supporting prices (in general personalized and nonlinear). In particular, to allocate L indivisible items between two agents, a price must be revealed for each of the 2^L-1 bundles. We prove that all monotonic prices for an agent must be used, hence exponential communication in L is needed. Furthermore, exponential communication is needed just to ensure a higher share of surplus than that realized by auctioning all items as a bundle, or even a higher expected surplus (for some probability distribution over valuations). When the utilities are submodular, efficiency still requires exponential communication (and fully polynomial approximation is impossible). When the items are identical, arbitrarily good approximation is obtained with exponentially less communication than exact efficiency.     

Stylised features of consumer price setting behaviour in Portugal: 1992–2001

This paper identifies the empirical stylized features of consumer price setting behavior in Portugal using two micro-datasets underlying the consumer price index. The main conclusions are: one in every four prices change each month; there is a considerable degree of heterogeneity in price setting practices; prices of goods change more often than prices of services; price reductions are common, as they account to around 40% of total price changes; price changes are, in general, sizeable; finally, the price setting patterns seem to depend on the level of inflation as well as on the type of outlet.

The changing role of consumers and suppliers in a food safety event: the 2006 foodborne illness outbreak linked to spinach

This article provides a means for testing whether buyers or sellers are responsible for a drop in sales following a market shock. We show that suppliers’ responses dominated the market reaction to the 2006 US Food and Drug Administration warning to avoid fresh spinach contaminated with potentially deadly bacteria Escherichia coli O157:H7. A modified Durbin-Wu-Hausman test for temporary price endogeneity is developed and used in a leafy green vegetable demand model. Test results indicate the price of bagged spinach was exogenous before the announcement but endogenous for approximately 12 weeks afterward. We show these results are consistent with the notion that suppliers temporarily limited the availability of spinach to consumers. Instead of consumers choosing the quantity purchased given exogenous prices, it was suppliers who limited the quantity marketed and consumers’ choices established the market price.     

Competition and open source with perfect software compatibility

In this paper we study duopolistic competition between closed and open source software. Inspired by recent contributions on open source, we propose a two-stage game with perfect information and product differentiation, in which producers first set software quality and then determine prices (the price is zero for open source programs). We assume perfect software compatibility and model lock-in effects, a network externality component of software quality, and accumulation of experience in software use and implementation. In comparison to the monopolistic benchmark case, we argue that, in a duopoly created by the emergence of an open source program, the proprietary software producer will reduce its selling price if: (i) its network of users is larger than the open source network and its consumers are largely familiar with its program, (ii) it has a small network of unskilled consumers. On the other hand, the price of proprietary software will increase if its users form a large, but poorly-skilled network. Furthermore, we show that, in all of the above cases, the hedonic quality of proprietary software increases. Finally, by modeling experience accumulation processes through difference equations, we show that the ratio between the closed and open source programs’ opportunity costs for software learning and deployment plays a crucial role in shaping market outcomes. If open source software remains too complex and technical for unskilled or time-pressed users, a shared market solution, in which both programs are adopted, is likely to emerge. However, if opportunity costs in learning and understanding open source programs are particularly low, or at least equal to the opportunity costs of a closed-source program, then open source dominance emerges (i.e. markets tip to open source).     

Complementing Cournot’s analysis of complements: unidirectional complementarity and mergers

We study the price and welfare effects of a merger of firms producing unidirectional complements: a firm is producing a product (called an optional good) that is valuable only if it is consumed with the other product (called a base good) produced by another firm. Under the assumption that there are two types of consumers: (i) those who consume one unit of the base good only or nothing (having zero valuation of the optional good), and (ii) those who consume one unit of the composite good or nothing, we show that a merger of the two firms raises the price of the base good, resulting in lower consumer surplus for the former consumer group, if and only if the average willingness to pay in the latter consumer group is sufficiently low. This result is in sharp contrast to Cournot’s (Researches into the mathematical principles of the theory of wealth, 1838) classical implication that a merger of firms producing strict complements makes all consumers strictly better off.     

An analysis of the demand for housing attributes

This paper uses a two-step approach to estimate a system of structural demand equations for housing attributes. Estimation of a hedonic price regression, in the first step, yields implicit prices for housing attributes for the Toronto Metropolitan area in 1978, which are then used to estimate the expenditure share equations derived from the indirect translog utility function. Empirical results indicate that the composite housing attributes (used in the second stage model) are own-price elastic, while an examination of cross price relationships reveals that these attributes are reasonably substitutable.     

Innovation and price: the case of digital cameras

This study examines a hedonic regression model of digital camera prices using data collected from an internet price comparison service. We find that a small number of product characteristics explains most of the variation in camera prices. In addition, the model demonstrates substantial downward pressure on camera prices during the time period considered. We also examine technological innovation shocks to determine their impact on product prices. We find that the corresponding price reaction exhibits gradual adjustment over time, providing evidence of some degree of anticipation of the innovation, as well as a post-innovation price shock. This study also demonstrates the power of web-based shopping services as a new and novel source of data for econometric analysis.