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。     

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 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.     

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.     

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.     

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.     

Imperfect competition and capital accumulation: the role of price normalization

We consider a capital-accumulation model with infinitely lived households and two production sectors. The intermediate-good sector is characterized by perfect competition, a constant-returns-to-scale technology, and production externalities. The final-good sector is a monopoly operating under constant returns to scale. We analyze the general equilibrium in the sense of Gabszewicz and Vial [Journal of Economic Theory (1972) 4: 381–400] for this economy and different price-normalization rules. It is shown that the qualitative behavior of the equilibrium paths depends crucially on the chosen normalization rule. In particular, whether equilibria are monotonic or oscillating and whether indeterminacy occurs or not may depend on the choice of the numeraire.     

An econometric analysis of the effects of market liberalization on price dynamics and price volatility

The paper investigates price dynamics under market liberalization, with a focus on the effects of lowering price floors. We analyze price dynamics by specifying and estimating a dynamic Tobit model under time-varying volatility, where the market price is censored by a government-set support price. The model is applied to the U.S. butter market over the last three decades. The econometric results show how the price support program affects both expected prices and the volatility of prices. It is found that the censoring effects of a price support program can be significant and large even if the price support is set relatively low.

Locational choice and price competition: some empirical results for the austrian retail gasoline market

Using data from the Austrian retail gasoline market we find that a higher station density reduces average prices. Market (i.e. ownership) concentration does not significantly affect average price, however is negatively related to the density of stations. Estimation of the pricing and entry equations as simultaneous equations does not alter our conclusions, and suggests causality running from station density to price. We argue that the spatial dimension of markets allows the identification of market conduct, which is particularly relevant for competition policy.

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.     

Out-of-equilibrium price dynamics

A trading-post organization of exchange is shown to determine an out-of-equilibrium price dynamics. The unique equilibrium of quasi-linear economies (defined by log-linear utility functions) is stable for the discrete time version of the dynamics. Equilibria that are stable for the continuous time version include those that satisfy the gross-substitutability property, the no-trade equilibria and, more generally, those for which trade intensity is relatively small. In addition, the set of stable equilibria is path-connected when endowments are allowed to vary without sign restrictions.      

Domestic and international mixed models with price competition

This article examines domestic (respectively, international) mixed competition in which a state-owned welfare-maximizing public firm competes on price with a domestic (respectively, foreign) profit-maximizing private firm. The article presents and compares the equilibrium outcomes of the two mixed models.