Price discrimination via information provision

We study price discrimination where different prices are offered as a bundle with different levels of information about a product. The seller’s price discrimination induces high valuation buyers to purchase a good without information and low valuation buyers to purchase with information. Our analysis highlights several interesting results about price discrimination: (i) the seller’s choice of information provision is the combination of full information and no information, (ii) products can be cheaper without information provision than with information provision, (iii) as a result of price discrimination, prices can be more dispersed as buyers’ valuations become largely similar, and (iv) the high valuation buyers purchase a damaged good and may earn negative surplus. Furthermore, we investigate under which circumstances price discrimination is more profitable than uniform pricing. We show that a decline in transportation costs which facilitate price discrimination can be welfare reducing.     

Sequential Screening

We study price discrimination where consumers know at the time of contracting only the distribution of their valuations but subsequently learn their actual valuations. Consumers are sequentially screened, as in a menu of refund contracts. Initial valuation uncertainty can differ in terms of first-order stochastic dominance or mean-preserving-spread. In both cases, optimal mechanisms depend on informativeness of consumers' initial knowledge about their valuations, not on uncertainty that affects all consumers. It can be optimal to "subsidize" consumers with smaller valuation uncertainty through low refund to reduce the rent to those who face greater uncertainty and purchase more "flexible" contracts.     

Bundling and Optimal Auctions of Multiple Products

We study the optimal ( i.e. revenue maximizing) auction of multiple products. We make three major points. First, we extend the relationship between price discrimination and optimal auctions from the single-product case to the multiple-product case. A monopolist setting prices for multiple products may offer discounts on purchases of bundles of products; similarly, the optimal auction of multiple products facilitates price discrimination by allocating products inefficiently to customers who are willing to purchase both products. Second, we demonstrate that optimal auctions are qualitatively distinct from monopoly sales of multiple products. Because of uncertainty about the values of other consumers, two products are bundled probabilistically in an optimal auction for a customer who is willing to buy both of them. A customer may then receive a discount on a lower-valued product without receiving a higher-valued product. Third, we show that in an optimal auction of two products the allocation of one product may vary with the amount of competition for the other product.     

A Model of Shareholder Discounts

Many companies supplying consumption goods and services provide their shareholders with price discounts. This paper presents a simple model describing shareholder discounts and consequent market equilibrium. It is found that shareholder discounts resemble many features of two-part tariffs. The welfare analysis shows that the equilibrium outcomes with shareholder discounts are Pareto inefficient. Compared with uniform pricing, shareholder discounts unambiguously increase major shareholders' wealth but their effects on consumers and society are generally ambiguous.     

A model of fashions and status

This paper presents a model of fashion cycles based on the idea that individuals purchase fashion goods because their displayed status increases with the personal status of other consumers who buy the same good. Fashion cycles occur in the model because demand now is a rising function of future prices: if future prices are high, only rich consumers will buy it in the future and the good will have a higher status value in the future and will be more desirable now, even though demand now is a decreasing function of current price. The time inconsistency problem is solved by repeated cycles which allows for reputation building. The crucial assumption made is that there is perfect information about the price path of all firms and the average status of the purchasers of each product. This limits possible profits in fashion markets in competition as imitation of price paths is then possible.     

SETTLING LAWSUITS WITH PIRATES

A firm licenses a product to overlapping generations of heterogeneous consumers. Consumers may purchase the product, pirate/steal it, or forego it. Higher consumer types enjoy higher gross benefits and are caught stealing at a higher rate. The firm may commit to an out-of-court settlement policy that is “soft” on pirates, so high types purchase the product and low types steal it until caught. Settlement contracts, which include both cash payments and licenses for future product use, facilitate price discrimination. Settlement may either create social value by expanding the market or destroy value by limiting market access and possibly deterring more efficient entrants.     

Pre-sale information

In markets as diverse as that for specialized industrial equipment or that for retail financial services, sellers or intermediaries may earn profits both from the sale of products and from the provision of pre-sale consultation services. We study how a seller optimally chooses the costly quality of pre-sale information, next to the price of information and the product price, and obtain clear-cut predictions on when information is over- and when it is underprovided, even though we find that information quality does not satisfy a standard single-crossing property. Buyers who are a priori more optimistic about their valuation end up paying a higher margin for information but a lower margin for the product when they subsequently exercise their option to purchase at a pre-specified price.     

Price discrimination with a resource constraint

Introducing an aggregate resource constraint into Mussa and Rosen's [Mussa, M., Rosen, S., 1978. Monopoly and product quality. Journal of Economic Theory 18 (2), 301–317] model of monopoly price discrimination induces an upwards distortion in product quality for high valuation consumers because the standard downward distortions in product quality for other consumers relax the resource constraint.     

Envy and pricing of quality in adverse selection

The paper analyzes the optimal pricing of quality when consumers feel envious of other purchase deals. The influence of envy on the optimal pricing of quality varies depending on whether consumers are concerned about envy in payments or in rents. If consumers compare their payments with those of other consumers, the firm has an incentive to produce lower quality than the first-best level for the high valuation consumer and higher quality than the second-best level for the low valuation consumer. Conversely, when consumers’ disutility from envy arises from envy in rents, the trade-off between efficiency and rent extraction becomes more serious than in the situation where there is no envy.     

A conduct parameter model of price discrimination

We consider a conduct parameter model where firms price discriminate based on the consumers’ willingness to pay. For any conduct, the average price is invariant to the extent of price discrimination. Moreover, when the number of prices goes to infinity, there is a linear relationship between market power, measured by conduct, and range of offered prices. Hence, when the firms face competition, some of the high valuation customers are charged below their valuations, which contrasts with perfect price discrimination results for a monopoly.     

Uncertainty and the theory of international trade in long-run equilibrium

We consider a country with two factors and two industries, each of which faces technical and price uncertainty. Entrepreneurs choose outputs in order to maximize the expected utility of profits. They also draw factor payments and purchase consumption goods after the uncertainty isresolved. They enter and exit from an industry according to whether participation there increases their expected utility. Within this model, the validity of the propositions of neoclassical trade theory depends on how the entrepreneurs' entry decisions are affected by parameter changes via their roles as risk bearers, consumers and factor owners.     

ENTRY AND QUALITY SIGNALLING WHEN ONLY SOME CONSUMERS ARE INFORMED OF THE ENTRANT'S QUALITY

This paper focuses on competition between an incumbent and an entrant when only the entrant's quality is unknown to (some) consumers. The incumbent may or may not know the entrant's quality. The model reveals a separating equilibrium where the entrant's high price signals its high quality when the proportion of informed consumers is at some intermediate value. The case in which the incumbent knows the entrant's quality generates two additional equilibria. When the proportion of informed consumers is large enough, firms choose their prices as in the complete information case. The entrant's high price in combination with the incumbent's low price signals the entrant's high quality. When the proportion of informed consumers is at some intermediate value, the incumbent's high price signals the entrant's low quality, while its low price signals the entrant's high quality. Interestingly, we find that entry may be facilitated with informational product differentiation.     

延期支付下部分价格折扣的变质物品订货模型

一般的延期支付库存模型将产品采购价视为固定不变的,而实际商业活动中,价格折扣是供应商促销的一种常用手段。本文在进一步考虑"数量界限"的价格折扣问题的基础上,建立了一个延期支付下部分价格折扣的变质物品经济订购批量模型,分析了两种情况下订货商的最优订货策略,并用算例进行了说明。     

IN SEARCH OF THE BEST BUNDLE: HILL-CLIMBING CONSUMERS AND THE MICRODYNAMICS OF CONSUMER CHOICE

Abstract. The paper considers the consequences of hill-climbing consumer behavior in the presence of nonconvex utility, and considers the optimal reactions of nonmyopic firms and governments to such behavior. Both firms and governments have an incentive to induce consumers to start consuming goods subject to nonconvexities by offering introductory price discounts. Monopolists appear to offer smaller introductory discounts than is optimal; competitive markets may never be able to supply such goods at all.     

On the paradoxical case of a consumer-based environmental subsidy policy

We apply an environmentally differentiated duopoly model to the analysis of environmental policy involving consumer subsidies based on the emission levels of the products consumers purchase. More specifically, we consider the environmental and welfare effects of subsidizing consumers who purchase environmentally friendly goods in the case of a partially covered market with a Cournot duopoly. We show that, paradoxically, the subsidy policy degrades the environment, and that the optimal policy depends on the degree of marginal social valuation of environmental damage. That is, if the marginal social valuation of environmental damage is larger than a certain value, a consumer-based environmental subsidy policy is not socially optimal.     

Strategic Quality Decisions by Heterogeneously Informed Suppliers — The Role of "Noise Consumers"—

In a differentiated oligopoly market, it is often the case that consumers' ex post preferences over different product qualities depend upon the state of nature which is not yet observable to the consumers at the time of purchase. One of the most typical examples is a market for durable goods or long-term service contracts, where the state is indeed a future state which has not yet realised when the transaction is made. To analyse such situations, this paper models a two-stage game, in which multiple suppliers move first to choose the quality of their products based upon their idiosyncratic information about the state. Consumers then observe these products, update their beliefs about the state, and decide which products to purchase. Counterintuitively, suppliers' incentives to reveal their private information are higher when there is a fraction of consumers whose prior about the state is moderately inaccurate, than when every consumer has better prior information. Hence the presence of such "noise consumers" can make all consumers better off, even including noise consumers themselves.     

Price search and spatial competition

In this paper we study a model where two spatially scattered sellers face a population of consumers dispersed over a given geographical area; they have to incur a transaction cost to place their purchase order. Moreover these consumers have imperfect knowledge of prices, but obtain full information about prices at the first shop they solicit. We study price competition between these firms. The main outcomes of our analysis are as follows. First we show that whenever a price equilibrium exists for given locations of firms, it will necessarily display price dispersion. Second we study location configurations which ensure the existence of a price equilibrium. Furthermore we show that when it exists, a price equilibrium is unique. Finally we analyze firms revenues when merchants anticipate the consequences of their locational choice on subsequent price competition. Then we find that there is an incentive for a firm to get as close as possible to its competitor.     

Asymmetric search and prospect theory: choice experiment on consumer willingness to search in the gasoline retail market

We use an internet survey conducted among a representative random sample of drivers in the State of Ohio consisting of a choice experiment designed to examine the mechanism driving asymmetric search. The internet survey affords us the opportunity to overcome endogeneity difficulties by imposing exogenous price changes on gasoline consumers to examine the decision-making process behind intended search decisions. We randomly assigned participants to one of five price treatments (either 2.5 or 5% above or below their reported expected price, or no change). We provide a simple empirical model to derive testable implications under prospect theory and use the internet survey to test them. Results indicate that among the respondents who faced prices below their expected price, only 12% chose to search, whereas 45% searched when prices were above. Further, we find results consistent with asymmetric search being driven by prospect theory. The change in consumers’ willingness to search is twice as large when prices exceed expectations by 2.5% relative to when prices exceed them by 5% suggesting that consumers derive utility of finding a good deal evaluated relative to a reference price. We show that this result is inconsistent with standard utility theory or consumers using alternative reference prices.     

Price and quality competition

This study considers an oligopoly model with simultaneous price and quality choice. Ex-ante homogeneous sellers compete by offering products at one of two quality levels. The consumers have heterogeneous tastes for quality: for some consumers it is efficient to buy a high quality product, while for others it is efficient to buy a low quality product. In the symmetric equilibrium firms use mixed strategies that randomize both price and quality, and obtain strictly positive profits. This framework highlights trade-offs which determine the impact of consumer protection policy in the form of quality standards.     

The effectiveness of English auctions

We study the performance of the English auction under different assumptions about the seller's degree of “Bayesian sophistication.” We define the effectiveness of an auction as the ratio between the expected revenue it generates for the seller and the expected valuation of the object to the bidder with the highest valuation (total surplus). We identify tight lower bounds on the effectiveness of the English auction for general private-values environments, and for private-values environments where bidders' valuations are non-negatively correlated. For example, when the seller faces 12 bidders who the seller believes have non-negatively correlated valuations whose expectations are at least as high as 60% of the maximal possible valuation, an English auction with no reserve price generates an expected price that is more than 80% of the value of the object to the bidder with the highest valuation.