A search cost model of obfuscation

This article develops models in which obfuscation is individually rational for oligopolistic firms. Firms sell a homogeneous good to rational consumers who incur search costs to learn prices. Search costs are endogenized by allowing obfuscation—firms have an unobservable action that increases the time needed to learn their price. One model involves search costs convex in shopping time. We show that slight convexity can dramatically alter the equilibrium price distribution. A second model examines an informational linkage between current and future search costs: consumers are uncertain about a component of search costs. Here, a signal‐jamming mechanism can lead to equilibrium obfuscation.     

Unshrouding: Evidence from Bank Overdrafts in Turkey

Lower prices produce higher demand… or do they? A bank's direct marketing to holders of “free” checking accounts shows that a large discount on 60% APR overdrafts reduces overdraft usage, especially when bundled with a discount on debit card or autodebit transactions. In contrast, messages mentioning overdraft availability without mentioning price increase usage. Neither change persists long after the messages stop. These results do not square easily with classical models of consumer choice and firm competition. Instead, they support behavioral models where consumers underestimate and are inattentive to overdraft costs, and firms respond by shrouding overdraft prices in equilibrium.     

A retail benchmarking approach to efficient two‐way access pricing: no termination‐based price discrimination†

We study access pricing rules that determine the access prices between two networks as a linear function of marginal costs and (average) retail prices set by both networks. When firms compete in linear prices, there is a unique linear rule that implements the Ramsey outcome as the unique equilibrium, independently of underlying demand conditions. When firms compete in two‐part tariffs, there exists a class of rules under which firms choose the variable price equal to the marginal cost. Therefore, the regulator can choose among these rules to pursue additional objectives such as increasing consumer surplus or promoting socially optimal investment.     

Market share and price rigidity

Survey evidence shows that the main reason why firms keep prices stable is that they are concerned about losing customers or market share. We construct a general equilibrium model in which firms care about the size of their customer base. Firms and customers form long-term relationships because consumers incur costs to switch sellers. In an environment with sectoral productivity shocks, we show that cost pass-through is a non-monotonic function of the size of switching costs. Specifically, prices tend to become more stable as the fraction of repeat customers increases and the elasticity of the customer base falls.     

Differentiated networks: equilibrium and efficiency

We consider a model of price competition in a duopoly with product differentiation and network effects. In the efficient allocation, both networks are active and the firm with the highest expected quality has the largest market share. To characterize the equilibrium allocation, we derive necessary and sufficient conditions for uniqueness of the equilibrium of the coordination game played by consumers for given prices. The equilibrium allocation differs from the efficient one for two reasons. First, the equilibrium allocation of consumers to the networks is too balanced, because consumers fail to internalize network externalities. Second, if access to the networks is priced by strategic firms, then the product with the highest expected quality is also the most expensive. This further reduces the asymmetry between market shares and therefore social welfare.     

Competitive pricing strategies in social networks

We study pricing strategies of competing firms selling heterogeneous products to consumers. Goods are substitutes and there are network externalities between neighboring consumers. In equilibrium, firms price discriminate based on the network positions and charge lower prices to more central consumers. We also show that, under some conditions, firms' equilibrium profits decrease when either the network becomes denser or network effects increase. In contrast, consumers always benefit from being more connected to each other. We determine the optimal network structure and compare uniform pricing and discriminatory pricing from the perspectives of firms and consumers.     

Price setting in forward-looking customer markets

If consumers form habits in individual goods, firms face a time-inconsistency problem. Low prices in the future help attract customers in the present. Firms, therefore, have an incentive to promise low prices in the future, but price gouge when the future arrives. In this setting, firms benefit from “committing to a sticky price.” If consumers have incomplete information about costs and demand, the firm-preferred equilibrium has the firm price at or below a “price cap.” The model therefore provides an explanation for the simultaneous existence of a rigid regular price and frequent “sales”.     

Search platforms: showrooming and price parity clauses

We provide a model in which consumers search for firms directly or through platforms. Platforms lower search costs but charge firms for the transactions they facilitate. Platform fees raise the possibility of showrooming, in which consumers search on a platform but then switch and buy directly to take advantage of lower direct prices. In settings like this, search platforms like Booking.com have adopted price parity clauses, requiring firms to offer their best prices on the platform, arguing this is needed to prevent showrooming. However, despite allowing for showrooming in our model, we find that price parity clauses often harm consumers.     

Do switching costs make markets more or less competitive? The case of 800‐number portability

Do switching costs reduce or intensify price competition if firms charge the same price to existing and new consumers? I study 800‐number portability to determine how switching costs affect price competition under a single price regime. AT&T and MCI reduced their toll‐free services prices in response to portability, implying that reduced switching costs increased competition. Despite rapid market growth, gains from higher prices to “locked‐in” consumers exceeded the incentives to capture new consumers. Prices on larger contracts dropped more, consistent with greater lock‐in for larger users. Price changes between portability's announcement and implementation are consistent with rational expectations.     

Market forces meet behavioral biases: cost misallocation and irrational pricing

Psychological and experimental evidence, as well as a wealth of anecdotal examples, suggests that firms may confound fixed, sunk, and variable costs, leading to distorted pricing decisions. This article investigates the extent to which market forces and learning eventually eliminate these distortions. We envision firms that experiment with cost methodologies that are consistent with real‐world accounting practices, including ones that confuse the relevance of variable, fixed, and sunk costs to pricing decisions. Firms follow “naive” adaptive learning to adjust prices and reinforcement learning to modify their costing methodologies. Costing and pricing practices that increase profits are reinforced. In some market structures, but not in others, this process of reinforcement causes pricing practices of all firms to systematically depart from standard equilibrium predictions.     

Production targets

We analyze a dynamic model of quantity competition, where firms continuously adjust their quantity targets, but incur convex adjustment costs when they do so. Quantity targets serve as a partial commitment device and, in equilibrium, follow a hump‐shaped pattern. The final equilibrium is more competitive than in the static analog. We then use data on monthly production targets of the Big Three U.S. auto manufacturers and show a similar empirical hump‐shaped dynamic pattern. Taken together, this suggests that strategic considerations may play a role in setting auto production schedules, and that static models may misestimate the industry's competitiveness.     

Sequential location games

We study location games where market entry is costly and occurs sequentially, and where consumers are nonuniformly distributed over the unit interval. We show that for certain classes of densities, including monotone and—under some additional restrictions—hump‐shaped and U‐shaped ones, equilibrium locations can be determined independently of when they are occupied. Our analysis reveals a number of peculiarities of the uniform distribution. Extensions of the model allow for price competition and advertisement in media markets, winner‐take‐all competition, trade‐offs between profits in the short and the long run, and firms operating multiple outlets.     

Risk Sharing in a World with Processing Costs: Trading versus Banking

We analyze the bank versus exchange problem in a Diamond Dybvig (1983) economy with exogenous transaction processing costs. We find that processing costs in the market enables the bank to overcome the side trade threat ( Jacklin (1987) ) and offer some desirable liquidity insurance. Moreover, in the bank equilibrium processing costs are proportional to consumption, while in the market economy early and late consumers incur equal costs. These two effects explain that for a given level of aggregate processing costs, the bank economy is superior. On the other hand, the number of transactions in the bank economy is larger. It is for this reason that if processing costs are proportional to transaction value, and independent of the mechanism used, the exchange economy is superior.     

Rockets and feathers: Understanding asymmetric pricing

Prices rise like rockets but fall like feathers. This stylized fact of many markets is confirmed by many empirical studies. In this article, I develop a model with competitive firms and rational partially informed consumers where the asymmetric response to costs by firms emerges naturally. In contrast to public opinion and past work, collusion is not necessary to explain such a result.     

Markets,torts, and social inefficiency

We provide a model wherein oligopolists produce differentiated products that also have a safety attribute. Consumption of these products may lead to harm (to consumers and/or third parties), lawsuits, and compensation, either via settlement or trial. Firm‐level costs reflect both safety investment and production activities, as well as liability‐related costs. Compensation is incomplete, both because of inefficiencies in the bargaining process and (possibly) because of statutorily established limits on awards. We compare the market equilibrium safety effort and output levels to what a planner who is able to set safety standards, but takes the market equilibrium output as given, would choose.     

Consumer search and dynamic price dispersion: an application to gasoline markets

This article studies the role of imperfect information in explaining price dispersion. We use a new panel data set on the U.S. retail gasoline industry and propose a new test of temporal price dispersion to establish the importance of consumer search. We show that price rankings vary significantly over time; however, they are more stable among stations at the same street intersection. We establish the equilibrium relationships between price dispersion and key variables from consumer search models. Price dispersion increases with the number of firms in the market, decreases with the production cost, and increases with search costs.     

Targeting in advertising markets: implications for offline versus online media

We develop a model with many advertisers (products) and many advertising markets (media). Each advertiser sells to a different segment of consumers, and each medium is targeting a different audience. We characterize the competitive equilibrium in the advertising markets and evaluate the implications of targeting. An increase in targeting leads to an increase in the total number of consumer‐product matches, and hence in the social value of advertising. Yet, targeting also increases the concentration of firms advertising in each market. Surprisingly, we then find that the equilibrium price of advertisements is first increasing, then decreasing, in the targeting capacity. We trace out the implications of targeting for competing media. We distinguish offline and online media by their targeting ability: low versus high. As consumers’ relative exposure to online media increases, the revenues of offline media decrease, even though the price of advertising might increase.     

An empirical model of search with vertically differentiated products

This article provides a framework for studying price dispersion in markets with product differentiation and search frictions. We show under which assumptions we can obtain an equilibrium in which vertically differentiated firms mix prices over different supports. The model can explain the frequently changing prices reported in several empirical studies, but also why some firms have persistently higher prices than others. We show how to estimate the model by maximum likelihood using only prices. Estimates for grocery items in the United Kingdom reveal that most of the observed price variation is explained by supermarket heterogeneity rather than search frictions, whereas the estimated amount of search is low.     

Dynamic pricing: when to entice brand switching and when to reward consumer loyalty

This article develops a theory of dynamic pricing in which firms may offer separate prices to different consumers based on their past purchases. Brand preferences over two periods are described by a copula admitting various degrees of positive dependence. When commitment to future prices is infeasible, each firm offers lower prices to its rival's customers. When firms can commit to future prices, consumer loyalty is rewarded if preference dependence is low, but enticing brand switching occurs if preference dependence is high. Our theory provides a unified treatment of the two pricing policies and sheds light on observed practices across industries.     

Resale price maintenance and collusion

The article revisits the conventional wisdom according to which vertical restrictions on retail prices help upstream firms to collude. We analyze the scope for collusion with and without resale price maintenance (RPM) when retailers observe local shocks on demand or retail costs. In the absence of RPM, retail prices react to retailers' information, and deviations from collusive behavior are thus difficult to detect. By eliminating retail price flexibility, RPM facilitates the detection of deviations but reduces profits and thus increases the short‐run gains from a deviation. Overall, RPM can facilitate collusion and reduce total welfare when firms adopt it.