Price competition and quality differentiation with multiproduct firms

This paper examines a two-stage competition where firms simultaneously choose the number of products and qualities in the first stage, and then compete in prices. It is shown that a monopolist must sell a single product. In addition, in any equilibrium of multiproduct duopoly, there are segmented patterns of quality differentiation. Entangled configurations never emerge because each firm has an incentive to reduce the number of products facing direct competition with its rival. This result contrasts sharply with the equilibrium of non-segmented quality differentiation when firms compete in quantities. Furthermore, we find that the high-quality firm never offers more products than the low-quality firm, and quality differentiation between firms is greater than that within a firm.     

Relaxing competition through quality differentiation and price discrimination

In this paper, I compare two-part tariff competition to linear pricing in a vertically differentiated duopoly. Consumers have identical tastes for quality but differ in their preferences for quantity. The main finding is that quality differentiation occurs in equilibrium if and only if two-part tariffs are feasible. Furthermore, two-part tariff competition encourages entry, which in turn increases welfare. Nevertheless, two-part tariff competition decreases consumer surplus compared to linear pricing.     

Partial privatization in mixed duopoly with price and quality competition

We analyze price and quality competition in a mixed duopoly in which a profit-maximizing private firm competes against a state-owned public firm. We first show that the welfare-maximizing public firm provides a lower quality product than the private firm when they are equally efficient. In order to maximize social welfare, government manipulates the objective of the public firm that is given by a convex combination of profits and social welfare. It is demonstrated that an optimal incentive of the public firm is welfare maximization under the absence of quality competition, but it is neither welfare maximization nor profit maximization under the presence of quality competition. The result supports a completely mixed objective between welfare and profit maximizations or partial privatization of the public firm.      

Winner-take-all price competition

Summary. We analyze an oligopoly model of homogeneous product price competition that allows for discontinuities in demand and/or costs. Conditions under which only zero profit equilibrium outcomes obtain in such settings are provided. We then illustrate through a series of examples that the conditions provided are “tight” in the sense that their relaxation leads to positive profit outcomes. Received: April 7, 2000; revised version: September 14, 2000     

Dynamic price competition

We consider the model of price competition for a single buyer among many sellers in a dynamic environment. The surplus from each trade is allowed to depend on the path of previous purchases, and as a result, the model captures phenomena such as learning by doing and habit formation in consumption.We characterize Markovian equilibria for finite and infinite horizon versions of the model and show that the stationary infinite horizon version of the model possesses an efficient equilibrium where all the sellers receive an equilibrium payoff equal to their marginal contribution to the social welfare.     

Tax competition with heterogeneous firms

A model of tax competition in which firms earn rents is described. The size of these rents, coupled with the degree to which the firms are foreign-owned, determine the equilibrium tax rates. The existence of rents significantly alters some generally accepted results involving the possibility of a Pareto-improving common tax rate and the underprovision of publicly provided goods.     

Shopping hours and price competition

This paper develops an argument why retail prices may rise in response to the deregulation of opening hours. We make this point in a model of imperfect duopolistic competition. In a deregulated market retailers view the choice of opening hours as a means to increase the degree of perceived product differentiation thus relaxing price competition. If the consumers’ preference intensity for time is sufficiently high the equilibrium configuration has asymmetric shopping hours where one retailer stays open for longer than the other. Both retailers charge higher prices than under regulation, and both are strictly better off.     

Differentiated credence goods and price competition

This paper analyses price competition between two firms producing horizontally and vertically differentiated goods. These are assumed to be credence goods, as consumers can hardly ascertain the quality of the commodities. To illustrate the model, we adapt it to represent a newspaper industry with two outlets, when the population of readers have preferences both on the political stance of the newspapers and on the accuracy of the news they dispatch.     

Endogenous direct advertising and price competition

This paper analyzes how the use of endogenous direct advertising affects the functioning of a horizontally-differentiated market. We formulate a two-stage game of pricing and informative advertising in which two firms, first, compete with mass advertising and, later, build a database using their historical sales records and compete by directly targeting the ads on their potential customers. We show that, compared to the case where firms only use mass advertising, direct advertising yields higher advertising efforts and an intertemporal reallocation of both market power and profits from the first to the second period. We also find that targeting increases the overall firms’ profit and the level of social welfare, but the impact on the average intertemporal price and consumer surplus is ambiguous. Finally, when reaching the potential market with mass advertising is sufficiently expensive, the use of direct advertising leads firms to provide the socially optimal level of advertising whereas, if mass advertising is cheap, firms tend to launch too little advertising in the first period and too much in the second.     

Downstream labeling and upstream price competition

This paper analyses the economic consequences of labeling in a setting with two vertically related markets. Labeling on the downstream market affects upstream price competition through two effects: a differentiation effect and a ranking effect. The magnitude of these two effects determines who in the supply chain will receive the benefits and who will bear the burden of labeling. For instance, whenever the ranking effect dominates the differentiation effect, the low-quality upstream firm loses from labeling while all downstream actors are individually better off. By decreasing the low-quality input price, the label acts as a subsidy and leads to an increase of the downstream market welfare. This analysis furthers our understanding of the economic consequences of labeling in cases like those of GMOs or restaurants.     

On price equilibrium with multi-product firms

In this paper, we provide a result that shows existence and uniqueness of Nash equilibrium in cases in which existing methods are problematic. This result is based on a theorem by Kellogg (Proc Am Math Soc 60:207–210, 1976) that provides conditions for the existence of a unique fixed point. We apply it to the simple logit discrete choice model and the CES representative consumer model, where asymmetric cost firms produce multiple vertically and horizontally differentiated products and compete in prices.     

Collusive outcomes in price competition

In this paper we provide a sufficient condition for collusive outcomes in a single-shot game of simultaneous price choice in a homogeneous product market with symmetric firms and strictly convex costs. We also prove the counterintuitive result: if the second derivative of the cost function is nonincreasing in output, it is easier to sustain collusion when the number of firms increases.     

Chinese competition and product variety of Indian firms

Using detailed firm-product-year data across manufacturing industries in India, and exploiting the exogenous nature of China’s entry into the WTO in 2001, we investigate the link between the impact of import penetration from China on the product variety of Indian manufacturing firms. We find: (i) robust and significant effects of product drop, with the effect coming only from competitive pressure in the domestic market; (ii) robust evidence of product drop or ‘creative destruction’ only for firms belonging to the lower-half of the size distribution; (iii) firms drop their peripheral/marginal products and concentrate on the core ones; and (iv) the result is strongest for firms producing intermediate goods. For an average Indian manufacturing firm, a 10 percentage point increase in India’s Chinese share of imports in the domestic market reduces the product scope of firms by 1.7–4.4%. In contrast, we find positive effects on product scope when firms are importing intermediate goods. We also find evidence of significant productivity effects and within-firm factor reallocation. Our results are consistent to a battery of robustness checks and IV estimation.     

Measuring market power when firms price discriminate

We propose conduct parameter-based market power measures within a model of price discrimination, extending work by Hazledine (Econ Lett 93:413–420, 2006) and Kutlu (Econ Lett 117:540–543, 2012) to certain forms of second-degree price discrimination. We use our model to estimate the market power of US airlines in a price discrimination environment. We find that a slightly modified version of our original theoretical measure is positively related to market concentration. Moreover, on average, market power for high-end segment is greater than that of low-end segment.     

Pricing and price competition in consumer markets

This paper offers a simple model of the price mechanism in markets where buyers take prices as given and prices are set by sellers, as in most consumer markets. It explains price competition by arguing that a market price goes down if—and only if—a price cut appears profitable to a firm even if its competitors follow suit. It also explains why markets do not always clear, that is, why production can be restricted by sales and not capacity at prices set by firms.     

Financial structure and diversification of European firms

Small and medium enterprises have been shown to rely mainly on banks for funding and, unlike larger firms, rarely have direct access to capital markets. This article looks at the extent to which SMEs avail of a wider range of funding options and how their use differs across firms and countries. Across all countries, we find that firms are currently using two or three sources of finance to fund their operations and have had previous experience of other types of funding. There are some noticeable differences across countries with peripheral economies generally being less diversified. Differences across firm size and age groups are more marked than cross-country variation, with smaller and younger firms significantly more reliant on a limited set of finance types and older, larger firms having more diversified financial structures. Looking at individual sources of financing, we find that trade credit and informal sources of finance are extremely prevalent across all countries, with Irish firms being particularly likely to use them as sources of funding.     

Endogenous fixprices and sticky price adjustment of risk-averse firms

A risk-averse price-setting firm which knows the quantity demanded at the status quo price but has imperfect information otherwise may choose not to change it although an otherwise identical risk-neutral firm would do so, provided the variance of the firm's subjective probability distribution over quantities demanded as a function of price displays a kink at the status quo. This is equivalent to risk aversion of order one. When no such endogenous fixprice exists, the size of price adjustment still tends to zero as risk aversion tends to infinity, and to any arbitrarily small menu cost there exists a degree of risk aversion so that the firm will not adjust.     

Bertrand price competition with differentiated commodities

This develops a general equilibrium, differentiated commodity version of Bertrand price competition. We study two, related market games in which buyers as well as sellers announce both quantities and prices. In the first game, buyers' strategies are artificially restricted. The Nash allocations of this game will be nearly competitive, provided that the commodities supplied by sellers are sufficiently similar. In the second game, the restriction on buyers' strategies is relaxed and a stronger solution criterion, called local perfection, is invoked. The locally perfect equilibria of the unrestricted game coincide the Nash equilibria of the restricted game.     

On price competition with complementary goods

We consider a duopoly industry with two separate firms each selling an indivisible product. The joint consumption of these goods has a specific value for the consumers which exceeds the mere addition of utilities when products are consumed in isolation: the higher this excess, the larger the complementarity between the goods. We analyse price equilibria in this market as related to the degree of complementarity existing between the two products.