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     

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.      

旅行社价格战的博弈分析

旅行社是旅游产品设计、组织和销售的渠道商以及消费者之间的桥梁.旅行社对旅游业具有重要影响，旅行社之间的价格竞争日益严重，盈利率低。随着我国加入世贸组织，越来越多的外国旅行社进入我国、针对我国旅行社如何走出困境，本文从博弈角度分析旅行社的价格竞争及其对策。     

Analysis of price competition and strategic implications for heterogeneous market structure

This paper examines strategic competition behavior in heterogeneous market structure where both conventional offline and online firms coexist in equilibrium and draws strategic implications with some remarks on welfare. Research on the price competition between conventional offline and online firms has been done through empirical approaches; however, the results are conflicting. This paper reconciles the existing conflicting empirical findings on price levels between conventional offline and online firms through a theoretical approach. We find that as the online market matures, prices in both conventional and online firms drop, and the price in the online firm can be higher than that in a conventional offline firm. Furthermore, if convenience associated with the online increases, the online price tends to exceed the conventional offline price.     

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.     

Price competition in a differentiated products duopoly under network effects

We examine price competition under product-specific network effects, in a duopoly where the products are differentiated both horizontally and vertically. We emphasize the role of consumers’ expectations formation. When expectations are not influenced by prices, the market may be shared but shares must be equal unless product qualities differ or one firm, possibly even the low-quality one, may capture the entire market. When expectations are influenced by prices, which would be the case when there is commitment, competition becomes more intense and the high-quality firm tends to capture a larger market share. Under strong network effects there is a continuum of equilibria and the higher the prices, the smaller the difference between those prices can be. Requiring continuity of expectations, however, delivers a unique equilibrium where one firm captures the entire market.     

Price floors and competition

A potential source of instability of many economic models is that agents have little incentive to stick with the equilibrium. We show experimentally that this can matter with price competition. The control variable is a price floor, which increases the cost of deviating from equilibrium. According to traditional theory, a higher floor allows competitors to obtain higher profits. Behaviorally, the opposite result obtains with two (but not with four) competitors. An error model, which builds on Luce (Individual Choice Behavior, 1959), can adequately describe supra-Nash pricing with a low-floor, but then fails to capture the overall pro-competitive effect of a high-floor seen for duopolies.     

On the distribution of product price and quality

We investigate the structure of demand by focusing on the distribution of prices within narrowly-defined classes of goods. We observe considerable heterogeneity—products that are functionally similar but presumably of different ‘quality’ may sell at very different prices. We analyze distribution of prices for bottles of wine, used cars, houses in London and week-long holidays in Majorca, and observe in each case that the the resulting distribution is more skewed than the lognormal but less skewed than a Pareto distribution. We then present a theoretical model whereby products can distinguish themselves along multiple hedonic dimensions of ‘performance’, with these product attributes being random variables subject to multiplicative interactions. Variations of this model can reproduce a lognormal price distribution and a Pareto distribution as lower and upper bound benchmarks (respectively).

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.     

Price normalization under imperfect competition

In general equilibrium models of imperfect competition the equilibria depend on how prices are normalized. This note shows that a price normalization preserves convexity properties if and only if prices are measured in terms of a fixed commodity bundle. I am grateful to an anonymous referee for helpful comments, inspiring a simplification in the proof of the main result, and the argument in the Remark.     

Cartel sustainability with vertical product differentiation: Price versus quantity competition

In the context of a vertically differentiated duopoly, we analyse the influence of the degree of differentiation on cartel sustainability, under both price and quantity competition. We find that, under both Bertrand and Cournot competition, the effect of vertical product differentiation on sustainability of the collusive equilibrium is unclear. It is shown that, given a degree of differentiation, price collusion is more sustainable than quantity collusion.     

A price competition game under free entry

This study builds a game of Bertrand-like price competition in a market with free entry. Under the assumption of a standard U-shaped average cost curve, it demonstrates that even if the number of sellers is small, a long-run competitive outcome can be supported as a Nash equilibrium. This game provides unifying treatments to the standard Bertrand equilibrium, the long-run competitive outcome, Demsetz’s equilibrium as well as other types of equilibria that have not been known in the existing literature.This paper is dedicated to Professor Mukul Majumdar to celebrate his sixtieth birthday. I am deeply indebted to Mukul for his generosity and kindness towards me throughout my career. I am also grateful to Tapan Mitra and anonymous referees for their very useful comments and suggestions in the revision and to Fumio Dei, Jim Friedman, Koji Ishibashi, Atsushi Kajii, Takashi Kamihigashi, Kunio Kawamata, Kei-ichi Koda, Takashi Negishi, Michihiro Ohyama, Santanu Roy, and Yoshimasa Shirai for useful conversations and correspondence and, in particular, Motonari Kurasawa, who drew to my attention Demsetz’s work.     

Choice, price competition and complexity in markets for health insurance

The United States and other nations rely on consumer choice and price competition between competing health plans to allocate resources in the health sector. While a great deal of research has examined the efficiency consequences of adverse selection in health insurance markets, less attention has been devoted to other aspects of consumer choice. The nation of Switzerland offers a unique opportunity to study price competition in health insurance markets. Switzerland regulates health insurance markets with the aim of minimizing adverse selection and encouraging strong price competition. We examine consumer responses to price differences in local markets and the degree of price variation in local markets. Using both survey data and observations on local markets we obtain evidence suggesting that as the number of choices offered to individuals grows, their willingness to switch plans given a set of price dispersion differences declines, which allows large price differences for relatively homogeneous products to persist. We consider explanations for this phenomenon from economics and psychology.     

On the “merger paradox” in price competition with asymmetric product differentiation

By assuming asymmetric product differentiation, we consider the “merger paradox” in price competition (or the incentive to collude in prices). We investigate whether the emergence of the merger paradox depends on the degree of product differentiation between firms. In particular, unlike Deneckere and Davidson (1985), we demonstrate that if the degree of product differentiation between the insider and outsider is sufficiently small, then they are strategic substitutes, and thus, the merger paradox arises in price competition.     

Market maker competition and price efficiency: Evidence from China

We test the relationship between market maker competition and stock price efficiency. Using the number of market makers as a proxy for competition, the results show a strong positive correlation between competition and stock price efficiency. Moreover, price efficiency is higher when competing market makers have higher research ability. We suggest that market maker competition increases price efficiency through two channels: 1) Competition decreases transaction costs, and 2) Uninformed market makers learn from orders submitted by informed market makers through competition. The latter happens only in the group of market makers with higher experiences. The results imply that the price efficiency can be improved by enhancing the competition of market makers with high research ability and experiences.     

Durable goods with quality differentiation

We study the optimal strategy of a durable-goods monopolist who can offer goods in different qualities. The key finding is that the presence of the additional sorting variable further undermines the firm's commitment problem, leading to results that contrast sharply with those of standard durable-goods models or those of models where the firm can commit.     

Commitment and price competition in a dynamic differentiated-product duopoly

This paper characterizes linear Markov-perfect equilibrium in a duopolistic environment where firms engage in dynamic price competition. Firms have constant (but potentially different) marginal costs and produce differentiated products. We show that, for the case of linear demand, dynamically stable Markov-perfect equilibrium prices are strictly higher than one-shot Nash equilibrium prices, but lower than fully collusive (monopoly) prices. We provide closed-form solutions for the Markov-perfect equilibrium prices which, in principle, can be estimated given data on firm demand and costs. Our results suggest that static two-stage models of price commitment are on reasonably solid ground in that they might be viewed as a reduced form for more complicated dynamic models.     

Price competition when consumer behavior is characterized by conformity or vanity

It has long been recognized that the pleasure of consuming a good may be affected by the consumption choice of other consumers. In some cases, social pressures may lead to conformity; in some others, individuals may feel the need of exclusiveness under the form of vanity. Such externalities have proven to be important in several markets. However, the market implication of these externalities are still unclear. To investigate them, we propose to combine the consumption externality model and the spatial duopoly model. When conformity is present but not too strong, both firms remain in business but price competition is fiercer and results in lower prices. The market share of the large firm increases with the population size; as the population keeps rising, the large firm may serve the entire market and set a price that has the nature of a limit price. When conformity is strong enough, different equilibria may exist. In most of these equilibria, a single firm captures the whole market. At the other extreme, when vanity is at work, price competition is relaxed.     

Price competition in markets with customer testing: the captive customer effect

We introduce product differentiation into the analysis of price competition in markets where suppliers test customers in order to assess whether they will pay for received goods or services. We find that, if the degree of differentiation is sufficiently high, suppliers may improve the average probability that their clientele will pay by charging higher prices. This helps suppliers to sustain high prices in equilibrium. Moreover, endogenizing locations in product space, we demonstrate that the high price level can be implemented in a pure-strategy subgame-perfect equilibrium with a high degree of differentiation. This is in contrast to the original Hotelling model with linear travel costs where a pure-strategy subgame-perfect equilibrium fails to exist.