Nonlinear pricing in spatial oligopoly

A model of duopoly competition in nonlinear pricing when firms are imperfectly informed about consumer locations is analyzed. A continuum of consumers purchase a variable amount of a product from one of two firms located at the endpoints of the market. At the Nash equilibrium in quantity-outlay schedules, consumers buy the same quantities as they would from the same firm if it were a monopolist facing the same informational asymmetries, but they receive greater surplus. Hence, no efficiency gains result from competition. If consumers have the option to reveal their locations and have the firms deliver the goods, all consumers choose to reveal their locations in equilibrium. Thus, the inefficiencies from information asymmetries may not arise because firms can deliver the good to consumers. In contrast, with a monopoly seller, consumers have no incentives to reveal their locations.     

Consumer Stockpiling and Price Competition in Differentiated Markets

In many storable-goods markets, firms are often aware that consumers may strategically adjust purchase timing in response to expected price dynamics. For example, in periods when prices are low, consumers stockpile for future consumption. This paper investigates the dynamic impact of consumer stockpiling on competing firms' strategic pricing decisions in differentiated markets. The necessity of equilibrium consumer storage for storable products is re-examined. It is shown that preference heterogeneity generates differential consumer stockpiling propensity, thereby intensifying future price competition. As a result, consumer storage may not necessarily arise as an equilibrium outcome. Economic forces are also investigated that may mitigate the competition-intensifying effect of consumer inventories and that, hence, may lead to equilibrium consumer storage.     

Reference Dependence and Market Competition

This paper examines the implications of consumer reference dependence for market competition. If consumers take some product (e.g., the first product they consider) as the reference point when evaluating others and they exhibit loss aversion, then the more “prominent” firm whose product is taken as the reference point by more consumers will randomize between a high and a low price. We also find that consumer loss aversion in the price dimension intensifies competition while that in the product dimension softens competition. With consumer reference dependence, asymmetric prominence can arise as an equilibrium outcome when firms advertise before engaging in price competition.     

Bargains Followed by Bargains: When Switching Costs Make Markets More Competitive

In markets where consumers have switching costs and firms cannot price‐discriminate, firms have two conflicting strategies. A firm can either offer a low price to attract new consumers and build future market share or a firm can offer a high price to exploit the partial lock‐in of their existing consumers. This paper develops a theory of competition when overlapping generations of consumers have switching costs and firms produce differentiated products. Competition takes place over an infinite horizon with any number of firms. This paper shows that the relationship between the level of switching costs, firms' discount rate, and the number of firms determines whether firms offer low or high prices. Similar to previous duopoly studies, switching costs are likely to facilitate lower (higher) equilibrium prices when switching costs are small (large) or when a firm's discount rate is large (small). Unlike previous studies, this paper demonstrates that the number of firms also determines whether switching costs are pro‐ or anticompetitive, and with a sufficiently large (small) number of firms switching costs are pro‐ (anti‐) competitive.     

Firm entry,product repositioning and welfare

We show that the entry of a second firm in a horizontally differentiated market (ala Hotelling) may harm consumers as prices increase and consumer’s surplus possibly decrease. We first derive the price and the consumer’s surplus of a monopoly which is located at the center of the market. When a second firm enters the market the first firm repositions and the two firms locate at their equilibrium points. Although competition adds to variety and increases consumer’s surplus, the post entry increase in price may outweight the gains from extra variety and make consumers worse off.     

Equilibrium pricing and advertising strategies for nondurable experience products in a dynamic duopoly

The quality of many consumer nondurable goods or services is sufficiently complex or obscure that consumers cannot completely verify the true quality in a single usage. For such ‘experience’ products or services, the accumulated consumer consumption experience of a brand is an important determinant of its sales or market share. The market share of a brand is in turn directly influenced by its own and the competitive price and advertising strategies, given the different levels of quality (among other factors). In this paper, we investigate the impact of the aggregate consumption experience on the firm's dynamic pricing and advertising strategies by developing a formal game-theoretic model of a dynamic duopoly. The model of competition does not yield explicit closed-form expressions for the dynamic price and advertising paths of the two firms. Hence, we simulate the equilibrium paths using a discrete-time algorithm. Our simulation results provide interesting insights into the dynamic equilibrium price and advertising paths, under a variety of realistic competitive scenarios.     

Dynamic competition with consumer inertia

We study a framework where two duopolists compete repeatedly in prices and where chosen prices potentially affect future market shares, but certainly do not affect current sales. This assumption of consumer inertia causes (noncooperative) coordination on high prices only to be possible as an equilibrium for low values of the discount factor. High discount factors increase opportunism and aggressiveness of competition to such an extent that high prices are no longer sustainable as an equilibrium outcome. Moreover, we find that both monopolization and enduring market share and price fluctuations (price wars) can be equilibrium path phenomena without requiring exogenous shocks in market or firm characteristics.     

Spatial competition under uniform delivered pricing

A Hotelling-type model of spatial competition is considered, in which two firms compete in uniform delivered prices. First, it is shown that there exists no uniform delivered price–location equilibrium when the product sold by the firms is perfectly homogeneous andwhen consumers buy from the firm quoting the lower delivered price. Second, when the product is heterogeneous and when preferences are identically, independently Weibull-distributed with standard deviation μ, we prove that there exists a single uniform delivered price–location equilibrium iff μ≧1/8 times the transportation rate times the size of the market. In equilibrium, firms are located at the center of the market and charge the same uniform delivered price, which equals their average transportation cost, plus a mark-up of 2μ. Finally, we discuss how our result extends to the case of n firms and proceed to a comparison of equilibria under uniform mill and delivered pricing.     

Learning quality through prices and word‐of‐mouth communication

This paper studies the effect of word‐of‐mouth communication on the optimal pricing strategy for new experience goods. I consider a dynamic monopoly model with asymmetric information about product quality, in which consumers learn in equilibrium from both prices and other consumers. The main result is that word‐of‐mouth communication is essential for the existence of separating equilibria, wherein the high‐quality monopolist signals high quality through a low introductory price (lower than the monopoly price), and the low‐quality one charges the monopoly price. The intuition is simple: low prices are costly, and will only be used by firms confident enough that increased experimentation (and therefore communication among consumers) will yield good news about quality and increased future profits. Additional results are the following: for the high‐quality seller, the expected price (quantity) is increasing (decreasing) over time; whereas for the low‐quality one, the opposite is true. Moreover, signaling becomes more difficult when consumers pay less attention to their peers' reports and more attention to past prices. Finally, word‐of‐mouth communication improves consumer welfare.     

Strategic Quality Decisions under Heterogeneous Resource Endowments

The literature on product competition advocates a differentiation strategy assuming firm homogeneity in resources. However, firm heterogeneity in resource endowments has long been recognized in economics. Merging these two perspectives, we show that the increase in consumer preference for quality leads to firms' aggressive price competition instead of quality differentiation. As consumers look for higher quality, the cost advantage arising from superior resources increases and makes head-to-head competition more profitable than accommodating a less efficient rival. When consumers are highly concerned about quality, even a small resource difference leads a more efficient firm to initiate cutthroat price competition for market dominance.     

Departures from marginal-cost pricing in the American automobile industry: Estimates for 1977–1978

How are prices set in the American automobile oligopoly? This paper seeks empirical estimates of the extent of departure from marginal-cost pricing and of the effects of foreign competition. The model estimated has product differentiation, multiproduct firms, and heterogeneity in consumer tastes. The estimation presumes that product type (proxied by engineering specifications) is exogenous to the price/quantity market equilibrium. Cross-section results for the 1977 and 1978 model years yield price-cost margins around 10%. Import competition has the effect of lowering equilibrium margins for compact and subcompact models.     

Choosing not to compete: Can firms maintain high prices by confusing consumers?

Firms with very similar products often present their products in different ways. This makes it difficult for consumers to find out which product fits their needs best, or which one is the cheapest. Why is there no convergence toward common ways to present products? Is it possible for firms to maintain high prices by confusing consumers? We run a market experiment to investigate those questions. In our market, firms choose how to present their products in addition to choosing their price. We find that firms maintain different ways to present their products and that this allows them to maintain high prices. This behavior is not consistent with competitive behavior, such as when firms adopt best responses to each other, imitate the most successful firm, or learn the best strategy over time. Rather, our results are only consistent with cooperation between firms. Firms cooperate by not imitating the way other firms present their products. Cooperation is maintained by the threat of tough competition if a firm makes its product easy to compare with others. Firms are all the more likely to maintain such cooperation if their products do not actually differ much. This is because in that case, maintaining differences in the presentation of their products is the only way to maintain profits.     

Price competition in the spatial real estate market: allies or rivals?

This paper examines whether real estate firms can avoid price competition when properties in the vicinity are priced by allies. An oligopoly model with differentiated products generally suggests that real estate firms engage in price competition with their spatially closest rivals. Yet, they can raise property prices when the market share of their allies increases. To test this prediction, a spatial autoregressive model with spatial autoregressive disturbances, including a share of allies in the vicinity, is estimated using data on the prices of residential condos in central Tokyo, Japan. The model prediction is supported by the empirical results. In the data set, the magnitude of the market share on property prices increases with the expansion of the size of the spatial market.     

Optimal pricing for new and remanufactured products

This work investigates the optimal pricing of new and remanufactured products using a model of consumer preferences based on extensive experimentation. The experimental investigation reveals two distinct segments of consumers. One segment is relatively indifferent between new and remanufactured products and displays high sensitivity to price discounts. The second segment shows strong preferences for new products—with an accompanying aversion to remanufactured products—and realtively low sensitivity to price discounts. The pricing analysis examines several scenarios involving a new product manufacturer, ranging from a simple monopolist scenario to a more complex scenario involving competition with third-party remanufacturers. In contrast to the usual finding that new product prices should decrease when competitive remanufactured products enter the market, the introduction of market segments reveals a robust finding across all scenarios: when remanufactured products enter the market, the optimal price of the new product should increase. Through appropriate pricing of new products, the OEM can mitigate the effects of cannibalization and increase profitability.     

Personalized Pricing and Quality Customization

We embed the principal–agent model in a model of spatial differentiation with correlated consumer preferences to investigate the competitive implications of personalized pricing and quality allocation (PPQ), whereby duopoly firms charge different prices and offer different qualities to different consumers, based on their willingness to pay. Our model sheds light on the equilibrium product-line pricing and quality schedules offered by firms, given that none, one, or both firms implement PPQ. The adoption of PPQ has three effects in our model: it enables firms to extract higher rents from loyal customers, intensifies price competition for nonloyal customers, and eliminates cannibalization from customer self-selection. Contrary to prior literature on one-to-one marketing and price discrimination, we show that even symmetric firms can avoid the well-known Prisoner's Dilemma problem when they engage in personalized pricing and quality customization. When both firms have PPQ, consumer surplus is nonmonotonic in valuations such that some low-valuation consumers get higher surplus than high-valuation consumers. The adoption of PPQ can reduce information asymmetry, and therefore sellers offer higher-quality products after the adoption of PPQ. Overall, we find that while the simultaneous adoption of PPQ generally improves total social welfare and firm profits, it decreases total consumer surplus.     

Determinants of consumer demand for circular economy products. A case for reuse and remanufacturing for sustainable development

We investigate determinants of consumer demand for circular (reused and remanufactured) products. Based on exploratory choice-based conjoint experiments with a sample of 800 adults in the United Kingdom, we examine two types of premium segment electronic appliances: a mobile phone and a robot vacuum cleaner. We find that consumers prefer partly circulated products over fully or not at all circulated products and that circular products can likely successfully enter the existing market at the retail price of a new product. Interestingly, circular products compete for market share primarily with new products, leaving the market share of second-hand options less affected. The results show a promising path for firms considering a transition to circular business models.     

Customer Information Sharing: Strategic Incentives and New Implications

We study oligopolistic firms' incentives to share customer information about past purchase history when firms are uncertain about whether a particular consumer considers the product offerings as complements or substitutes. We show that both the incentive to share customer information and its effects on consumers depend crucially on the relative magnitudes of the prices that would prevail in the complementary and substitute markets if consumers were fully segmented according to their preferences. This paper has important implications for merger analysis when the primary motive for merger is the acquisition of another firm's customer lists. Our analysis also suggests a new role of middlemen as information aggregators.     

Random encounters and information diffusion about product quality

This paper explores how social interactions among consumers shape markets. In a two-country model, consumers meet and exchange information about the quality of the goods. As information spreads, demand evolves, affecting the prices and quantities manufactured by profit-maximizing firms. We show that market prices with informational frictions reach the duopoly price with full information at the limit. However, this convergence can take different paths depending on the size asymmetry between countries. In particular, when the country producing the low-quality good is relatively large, the single market does not immediately turn into a duopoly and can be temporarily trapped in a situation of price instability where no Nash equilibrium in pure (but only in mixed) strategies exists and prices can fluctuate between their monopoly and duopoly levels. It follows that the classical price-reducing effects of international trade may take longer to appear. In view of an intense globalization process, understanding how social meetings affect market outcomes is critical for understanding the performance of international economic integration.     

Competing for Consumers with Self‐Control Problems

I examine strategic implications of competing for consumers with self‐control problems. For investment goods, like health clubs, I find that the equilibrium sign‐up (lump‐sum) fees decrease when competition intensifies, similarly to prices in standard oligopoly models. However, the equilibrium attendance (per‐unit) price increases due to firms' deteriorated ability to take advantage of consumers' self‐control problems. Moreover, firms earn less profit due to consumers' self‐control problems—the firms have a unilateral incentive to charge per‐unit fees lower than the marginal cost; however, they cannot make up the lost margins by increasing the lump‐sum fee, due to competition. I also show that for plausible parameter regions the market adjusts to consumers' self‐control problem in such a way that firms play the standard equilibrium strategies that they would have engaged in with fully rational consumers, with identical market outcomes. Most of the results are qualitatively the same for leisure goods (for example, credit cards); however, some results are reversed: the per‐unit fees are higher than marginal cost and decrease as competition intensifies.     

Strategic Incentives for Keeping One Set of Books in International Transfer Pricing

We study the equilibrium accounting and transfer pricing policies in a multinational duopoly with price competition in the final product market. We find that the firms in a duopoly can benefit from strategically using the same transfer price for tax and managerial purposes instead of using separate transfer prices for both objectives. According to our results, the practice of one set of books should be the prevalent accounting method in markets with a small number of competitors and similar products.