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.     

Product line pricing in a vertically differentiated oligopoly

Abstract This paper examines the joint pricing decision of products in a firm’s product line. When products are distinguished by a vertical characteristic, those with higher values of that characteristic will command higher prices. We investigate whether, holding the value of the characteristic constant, there is an additional price premium for products on the industry and/or the firm frontier, that is, for the products with the highest value of the characteristic in the market or in a firm’s product line. We also investigate the existence of price premia for lower‐ranked products and other product line pricing questions. Using personal computer price data, we show that prices decline with the distance from the industry and firm frontiers, even after holding absolute quality constant. We find evidence that consumer tastes for brands is stronger for the consumers of frontier products (and thus competition between firms weaker in the top end of the market). There is also evidence that a product’s price is higher if a firm offers products with the immediately faster and immediately slower computer chip (holding the total number of a firm’s offerings constant), possibly as an attempt to reduce cannibalization. Finally, a product’s price declines with the time it is offered by a firm, suggesting intertemporal price discrimination.     

The Speed and Stability of Price Adjustment in Australian Manufacturing*

A model of industry speed of price adjustment is derived from firm pricing behaviour. The model is applied to quarterly two‐digit Australian manufacturing data for the period 1985 (Q3) to 2002 (Q3). The results suggest that the industry speed of price adjustment is positively related to the average size of large firms within the industry and is negatively related to industry concentration. We also find that import share has a role in attenuating the effects of industry concentration and that growth in a moving average of real gross domestic product reduces the speed of price adjustment. Calculated industry speeds of price adjustment are both stable across the period of examination and small, suggesting that manufacturing prices are sticky.     

The trade reducing effects of market power in international shipping

Developing countries pay substantially higher transportation costs than developed nations, which leads to less trade and perhaps lower incomes. This paper investigates price discrimination in the shipping industry and the role it plays in determining transportation costs. In the presence of market power, shipping prices depend on the demand characteristics of goods being traded. We show theoretically and estimate empirically that ocean cargo carriers charge higher prices when transporting goods with higher product prices, lower import demand elasticities, and higher tariffs, and when facing fewer competitors on a trade route. These characteristics explain more variation in shipping prices than do conventional proxies such as distance, and significantly contribute to the higher shipping prices facing the developing world. A simple back of the envelope calculation suggests that eliminating market power in shipping would boost trade volumes by 5.9% (for the US) to 15.2% (for Latin America). Our findings are also important for evaluating the impact of tariff liberalization. Cargo carriers decrease shipping prices by 1–2% for every 1% reduction in tariffs.     

The impact of bargaining on markets with price takers: Too many bargainers spoil the broth

In this paper we study how bargainers impact on markets in which firms set a list price to sell to those consumers who take prices as given. The list price acts as an outside option for the bargainers, so the higher the list price, the more the firms can extract from bargainers. We find that an increase in the proportion of consumers seeking to bargain can lower consumer surplus overall, even though new bargainers receive a lower price. The reason is that the list price for those who do not bargain and the bargained prices for those who were already bargaining rise: sellers have a greater incentive to make the bargainers’ outside option less attractive, reducing the incentive to compete for price takers. Competition Authority exhortations to bargain can therefore be misplaced. We also consider the implications for optimal seller bargaining.     

EQUILIBRIUM SELECTION IN THE YANO MODEL OF PRICE LEADERSHIP

Abstract. A number of studies have provided a theoretical explanation for the fact that the technologically superior firm becomes a price leader in a duopoly market for a homogeneous product. While previous studies show that the state in which the technologically superior firm becomes a price leader is a Nash equilibrium (superior leader equilibrium), they do not eliminate the possibility that the state in which the technologically inferior firm becomes a price leader is also a Nash equilibrium (inferior leader equilibrium). We demonstrate that an inferior leader equilibrium can be eliminated by the iterative elimination of weakly dominated strategies.     

Nonlinear pricing with self-control preferences

A basic assumption of economics is that consumers choose what they want. However, many consumers find it difficult to stop overeating, overspending, smoking, procrastinating, etc, even though they want to. In reality, consumers have temptation and it is psychologically costly to exercise self-control. To clarify the implications of the existence of temptation and self-control costs, this paper studies a firm's optimal selling strategy exploiting the behavioral features of consumers. We characterize optimal nonlinear pricing schemes for a monopoly when self-control is costly for consumers. Since consumers have a preference for commitment, the firm faces a trade-off between offering a small menu that makes the consumers’ self-control easier and offering a large menu that achieves better price discrimination. We show that the optimal menu resembles the one in the standard nonlinear pricing problem with a price ceiling, where the upper bound on prices is determined endogenously by a participation constraint. The ceiling motivates the firm to offer a relatively flat and compact price schedule, serving more consumers with low demand. The characterization also shows that the firm may earn less if consumers have temptation.     

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.     

On input market surplus and its relation to the downstream market game

Abstract In order to analyze the welfare effects of price changes in input markets – following for example a price‐fixing conspiracy – economists have studied the relationship between the surplus measured in the input markets and the surplus in the output markets. The latest results hinge on simplifying assumptions, which are relaxed here by linking the input markets surplus question to another stream of literature, which characterizes functions that oligopolists collectively, yet unintentionally, maximize. It is shown that the area under the input demands is equal to the change in a function for which critical points coincide with the equilibria of the downstream game. A particular case of these functions is the exact potential function.     

Price discrimination of buyers with identical preferences and collusion in a model of advertising

A model of advertising and price distributions is investigated whereby each seller can contact different buyers, whose preferences are identical, with different probabilities. The model features a continuum of equilibria parametrized by the ratio of the buyers contacted by one seller—differing across “market segments”—and by the other sellers. In general, the sellers practice price discrimination across segments. More asymmetric equilibria correspond to higher volumes of transactions and higher expected transaction prices. This results in a lower expected utility for the buyers and higher expected profits; thus, identifying areas of influence can help the sellers to support collusion.     

How do consumers respond to house price declines?

Movements in house prices and consumer spending are closely correlated in many developed nations. Much debate exists on whether this relationship is causal arising from either wealth effects or via borrowing constraints. This paper uses a unique survey question on consumer responses to house price falls to explain the relationship between house price movements and consumer spending among households in the United Kingdom. 30% of households report they would cut back consumption as a direct response to house price falls. Households who reported they were borrowing constrained were much more likely to report they would cut consumption.     

Choosing price or quantity? The role of delegation and network externalities

We consider a differentiated duopoly and endogenise the firm choice of the strategy variable (price or quantity) to play on the product market in the presence of network externalities. We model this choice by assuming both competition between entrepreneurial (owner-managed) firms and competition between managerial firms in which market decisions are delegated from owners to revenue-concerned managers. While network externalities are shown not to alter the symmetric equilibrium quantity choice arising in the no-delegation case, sufficiently strong network effects allow us to eliminate the multiplicity of equilibria under delegation and lead to a unique equilibrium in which both firms choose price.     

Organizational Structure and the Choice of Price versus Quantity in a Mixed Duopoly

We consider the choice of price/quantity of a public and a private firm in a mixed differentiated duopoly. First, we study the way in which the strategic choice of the market variable is affected by different given organizational structures (managerial or entrepreneurial) of the public and the private firm. Second, we investigate how the price/quantity choice interacts with the endogenous choice of the organizational structure, thus determining a subgame perfect equilibrium at which firms choose to behave as price‐setters and to adopt a managerial structure.     

Location choice with delegation: Bertrand vs. Cournot competition

The conventional wisdom indicates that firms' optimal locations are sensitive to the modes of product-market competition, leading to a difficulty for firms to make concrete location decisions. This difficulty is especially crucial for the high entry-cost firms. The paper develops an uncovered-market model à la Economides (1984) to explore this sensitivity by taking into account a delegation game. It shows that firms' location configurations remain unchanged regardless of the modes of product-market competition as the owners offer the managers a contract with a relative-performance incentive scheme. Moreover, the paper shows that, by introducing a delegation game, the competition between managers under Bertrand competition is mitigated such that the managers have no incentive to choose price undercutting as they locate themselves far enough away from each other.     

Mixed pricing in oligopoly with limited monopoly

We analyze price competition between two brands. Buyers consist of switchers and two segments of customers with limited brand loyalty. We identify a unique symmetric mixed-strategy price equilibrium and find that competition is most relaxed when there exists some switchers.     

Bertrand competition when firms hold passive ownership stakes in one another

We show that the Bertrand oligopoly model with cost asymmetries may admit multiple Nash equilibria when firms hold passive ownership stakes in each other. The equilibrium price may be as high as the monopoly price of the most efficient firm.     

Investment-Specific R and D and the Decline in the Relative Price of Capital

The relative price of capital has declined at a rapid rate in the postwar period.This article provides a candidate explanation for this relative price decline—research and development that are embodied in new, more efficient investment goods. The model mimics the secular aspects of the data, and it has the property that the long-run growth rate of consumption is nontrivially determined as a function of the R and D efforts. Because growth is driven by investment in durable goods in the present model, it seems natural to assume that R and D is product-specific and that the firms producing these goods are long-lived profit centers that internalize the dynamic gains from R and D. A result of this assumption is that the growth rate in the decentralized economy is too low: the so-called business stealing effects that may cause the equilibrium growth rate to be too high in other models is internalized here in the form of planned obsolescence.     

Selling licences for a process innovation: the impact of the product market on the selling mechanism

Abstract.  This article considers the sale by a research lab of licences for a cost-reducing innovation. The marginal cost of a firm that wins a licence is private information and the acquisition of a licence imposes a negative externality on the other firms. The lab's optimal revenue is determined from a class of mechanisms in which the lab selects the number of licences and the reserve price before the sale. The role of the downstream product market in the determination of the number of licences is analyzed. Furthermore, it is also shown that the optimal reserve price may be zero.     

Intertemporal pricing in markets with differential information

Summary This paper provides a theory of intertemporal pricing in a small market with differential information about the realizations of a stochastic process which determines demand. We study the sequential equilibria in stationary strategies of the stochastic game between a seller and buyer. The seller has zero cost of producing one unit of a non-durable good in all market periods. The buyer's value for the good is a random variable governed by a simple Markov process. At the beginning of each period the unit's value is determined by nature and is privately revealed to the buyer. The seller posts a single price offer each period, which the buyer either accepts or rejects. Only two types of price paths emerge in equilibrium: either prices are constant, or they have persistent cycles between a low and a high value. In both cases, however, prices are sticky in the sense that changes in price are less frequent than changes in the economy's fundamentals.We thank John Rust and Asher Wolinsky for helpful comments. We also gratefully acknowledge financial support from NSF grant SES 89-09242.     

Advance-purchase discounts as a price discrimination device

In an intertemporal setting in which individual uncertainty is resolved over time, advance-purchase discounts can serve to price discriminate between consumers with different expected valuations for the product. Consumers with a high expected valuation purchase the product before learning their actual valuation at the offered advance-purchase discount; consumers with a low expected valuation will wait and purchase the good at the regular price only in the event where their realized valuation is high. We characterize the profit-maximizing pricing strategy of the monopolist. Furthermore, adopting a mechanism design perspective, we provide a necessary and sufficient condition under which advance-purchase discounts implement the monopolist's optimal mechanism.