SUBSIDIZATION AND BARGAINING IN MIXED OLIGOPOLIES

In this paper, we consider political interaction in a mixed oligopoly by characterizing how a subsidy is endogenously determined through the bargaining process between firms and politicians. We discuss how the nature of the political equilibrium changes with the type of competition, the specification of the cost function, and the timing of the game. We show that when bargaining between firms and politicians takes place, the resulting social welfare may be even worse than that under a public firm monopoly.     

Free and second-best entry in oligopolies with network effects

We compare the number of firms in equilibrium in a Cournot industry with positive network effects and complete compatibility, under free and second-best entry. Under free entry, the firms decide whether to enter the market or not; in the second-best problem, the number of firms is established by the regulator to maximize social welfare (the regulator controls entry but not production). We show that when individual equilibrium output decreases with entry (business-stealing competition), free entry may lead to more or less firms than the second-best problem. This contrasts with the standard (nonnetwork) Cournot oligopoly model, wherein with business-stealing competition, free entry leads to an excessive number of firms compared with the second-best solution.     

THE MARKET SELECTS THE WRONG FIRMS IN THE LONG RUN*

We consider the effects of free entry on the market structure and social welfare of an asymmetric Cournot oligopoly. Even if we allow for the existence of different types of firms initially, only one type (in almost all cases) can survive in the long run. Free entry leads an economy to a symmetric equilibrium, in which the excess entry theorem holds. Further, we consider the socially optimal policy for this economy. In cases of either (i) a concave demand (which implies strategic substitutability) or (ii) strategic complementarity (which implies a convex demand), the type of firms that should remain in the market to achieve social optimality does not necessarily coincide with the type of firms that will survive in the long run. The market may select not only the wrong number of firms but also the wrong type of firms in the long run.     

Beyond the need to boast: Cost concealment incentives and exit in Cournot oligopoly

This paper studies the incentives for production cost disclosure in an asymmetric Cournot oligopoly. Whereas the efficient firm (consumers) prefers information sharing (concealment) when the firms choose accommodating strategies in the product market, the firm (consumers) may prefer information concealment (sharing) when it can exclude its competitors from the market. Hence, the rankings of expected profit and consumer surplus can be reversed if exit of the inefficient firms is possible. Although the efficient firm has stronger incentives to share information when it shares strategically, there remain cases in which the firm conceals information in equilibrium to induce exit.     

Market competition, social welfare in an entry-constrained differentiated-good oligopoly

This paper studies a differentiated-good oligopoly where the socially optimal number of firms (varieties) may be smaller or greater than under the free-entry equilibrium. We show that, under certain conditions, social welfare may be higher when entry is restricted into the industry.     

Learning to collude: An experiment in convergence and equilibrium selection in oligopoly

The paper considers a simple oligopoly model where firms know their own and the average pay-off in the industry. Firms choose decision rules for trading. The theory predicts that there are three types of Nash equilibria in this game (collusive, Cournot and Stackelberg). Our experiments test the selection process. We find that there is clear evidence of convergence to an equilibrium, and whilst both Cournot and collusive outcomes were selected, the collusive equilibrium is more common. The experimental results also give insights into the process of individual learning, confirming that subjects follow aspiration rules rather than reinforcement rules.     

Do cost efficiency gap and foreign competitors matter concerning optimal privatization policy at the free entry market?

In this paper, we demonstrate that in contrast to the case with exogenous number of foreign private firms, partial privatization is always the best policy for the public firm in long-run equilibrium, which casts doubt on the robust result in Matsumura and Kanda (J Econ 84(1):27–48, 2005) who argued that welfare-maximizing behavior by the public firm is always optimal in mixed markets. Critical cost gap determines that long-run degree of privatization is larger than the short-run one. In particular, regarding the scenario wherein one public firm competes with domestic private firms and foreign private firms, equilibrium price is lower than marginal cost of public firm instead of being equivalent to marginal cost of the public firm, and that public firm’s outputs, profit, and social welfare is the smallest in the concerned mixed oligopoly models.     

MIXED OLIGOPOLY IN A SINGLE INTERNATIONAL MARKET*

This paper departs from previous literature by considering a mixed oligopoly with two countries each with public and private firms competing in a single market. This differs from the traditional framework of examining a single domestic market in which foreign and domestic firms compete and is motivated, in part, by international airline markets but serves to characterise many markets. The resulting equilibrium emphasises that the strategic interaction of the two public firms usually serves to reduce welfare. Thus, the usual reason to imagine a public firm in a mixed oligopoly, to enhance welfare, is lost when such firms compete in the interest of their respective countries.     

Technology Strategy And Product Diversity

This paper considers a three-stage game of a differentiated oligopoly: firms first make their entry decisions, then they choose production technologies and in the third stage of the game they decide product prices. The technology choice can be understood as selecting one from a pool of those recently available as well as developing a new technology through innovative activities. The resulting market equilibrium is then compared with the social optimum. The main conclusions are that a monopolistically competitive market will typically undersupply both product variety and production scale. R&D competition in a free entry differentiated oligopoly will lead to insufficient R&D investment at firm and industry levels.     

Market-Share Import Restraints in Oligopoly

This paper contributes to the theoretical analysis of proportional import restraints; that is, restraints that are defined in terms of percentage market share rather than in terms of volume of imports. It is shown that an increase in the market share of foreign firms from zero has a negative effect locally on domestic welfare. In the case of a domestic oligopoly, domestic firms may prefer a proportional restraint over an equivalent volume restraint.     

New technology adoption in a Cournot oligopoly with spillovers

In a two-stage Cournot oligopoly where a subset of firms first make a choice between two alternative production technologies independently and then all firms compete in quantity, the effect of information spillovers is analyzed when the outcome of R&D is uncertain. It is shown that the range of parameter values that support heterogeneous firms in equilibrium will diminish as information spillovers become larger. Particularly, when the spillover effect is so strong that the investment by one firm is beneficial to its R&D active rivals, all active firms will choose the same technology. A similar result can be derived from a socially desirable point of view except that the cut-off magnitude of spillovers is different. By introducing a positive success probability to characterize the uncertainty of the R&D outcome, it is found that when information spillovers are not too small, there will be underinvestment in equilibrium relative to the social optimum.     

Strategic nonlinear pricing

The objective of this paper is to examine the role of nonlinear strategies in a standard oligopoly framework. We demonstrate that nonlinear pricing may indeed emerge as an equilibrium strategy, but only when firms produce differentiated products, when one firm retains market power due to a cost advantage, or as part of an equilibrium in mixed strategies. In addition, we examine the role of nonlinear pricing in a spatial-competition framework. Our main conclusion is that in highly competitive markets, nonlinear pricing strategies are not likely to emerge as an equilibrium.     

WELFARE ENHANCING COORDINATION IN CONSUMER COOPERATIVES UNDER MIXED OLIGOPOLY

The recent globalization of world economies has led the retail markets of developed countries towards increasing levels of integration and strategic interdependence. A non negligible share of retail and food markets is currently served by co‐operative societies. Consistently with this trend, the consumer cooperatives have recently experienced increasing levels of integration. The main aim of this paper is to study the welfare effects of coordination among consumer cooperatives competing in quantities in a mixed oligopoly against profit‐maximizing firms. We show that, in absence of agency problems, under increasing or constant returns to scale a higher output coordination of the consumer cooperatives does not affect the total welfare as long as a nonnegative profit constraint holds in these firms. On the other hand, under decreasing returns to scale, the consumer cooperatives contribute more to social welfare when acting on behalf of all consumers. This is because, by coordinating consumers’ preferences, these firms can reduce their market output, thus helping the market to come closer to the first best. All together these results seem to provide an argument in favour of the recent process of integration involving consumer cooperatives in many developed countries.     

Through Trial and Error to Collusion*

In this article we study a very simple trial and error learning process in the context of a Cournot oligopoly. Without any knowledge of the payoff functions players increase, respectively decrease, their quantity as long as this leads to higher profits. We show that despite the absence of any coordination or punishing device this process converges to the joint‐profit‐maximizing outcome.     

Coalition-proof information exchanges

In a three-firm oligopoly model we show that, in addition to being a simple Nash equilibrium, information sharing among all firms is sometimes coalition-proof, and, information exchange among a proper subset of the firms can constitute a coalition-proof equilibrium. Thus, information exchange among firms, even without collusion on prices or outputs, can be very stable and may occur more widely than previously expected.     

Leadership and Privatisation in a Mixed Multi‐product Oligopoly: An Endogenous Timing Model

This paper examines both leadership choice and welfare consequences of privatisation in an endogenous timing mixed multi‐product oligopoly. It shows that a multi‐product firm undermines the welfare‐maximising efforts of a public firm by cross‐subsidising. The paper demonstrates that a unique subgame perfect Nash equilibrium emerges in a multi‐product market, in contrast to the multiple equilibria of a single‐product market. This unique equilibrium indicates that profit‐maximising private firms retain leadership while a welfare‐maximising public firm acts as a follower. Even on the off‐equilibrium path where the public firm acts as a leader, it rarely generates maximum social welfare. However, privatising the public firm usually harms social welfare and results in a different timing structure in equilibrium.     

Low information nash equilibria for oligopolistic markets

This paper deals with an infinite horizon n firm oligopoly in which firms are assumed to have incomplete information about one another's actions and profit functions. An equilibrium concept is defined that is similar to the Nash non-cooperative equilibrium, but is suitable for the information assumptions of the model. The equilibrium uses a type of bounded rationality which makes firms' computations relatively easy. This is due to an implicit assumption that computation is costly and a Bayesian approach is prohibitively costly. This low information Nash equilibrium is proved to exist, and, in addition, an adaptive expectations decision process is described which, if followed by all firms, leads to the low information Nash equilibrium.     

世界保险产业结构演化的特征及趋势分析

世界保险业正在进入“寡头主导,大、中、小共生”垄断竞争格局的快速发展时期,一个金融保险资源与金融保险技术共享的、业务融合性统一的国际保险大市场,正在逐渐形成。中国保险业已进入一个开放竞争的时代,无论从国家金融主权和安全方面,还是从保险业的持续发展方面,都应该努力培育中国保险业的自主创新能力,积极引导建成一个既能满足日益多样化消费需求,又能顺应社会经济发展要求;既能促进国际竞争力提升,又有利于持续健康发展的产业结构。     

Cournot competition in a differentiated oligopoly

This paper studies product-quantity equilibria in an oligopoly. Products are interpreted as “qualities” and each firm chooses a quality-quantity pair, simultaneously. It is well known that a pure-strategy equilibrium in product-price pairs does not exist in this model, but a pure-strategy equilibrium in product-quantity pairs exists. Furthermore, in an example widely studied in the literature, the equilibrium has nice asymptotic properties.     

Existence and optimality of oligopoly equilibria in linear exchange economies

Summary. We consider a linear exchange economy and its successive replicas. We study the notion of Cournot-Walras equilibrium in which the consumers use the quantities of commodities put on the market as strategic variables. We prove that, generically, if the number of replications is large enough but finite, the competitive behaviour is an oligopoly equilibrium. Then, under a mild condition, which may be interpreted in terms of market regulation and/or market activity, we show that any sequence of oligopoly equilibria of successive replica economies converges to the Walrasian outcome and furthermore that every oligopoly equilibrium of large, but finite, replica is Pareto optimal. Consequently, under the same assumptions on the fundamentals of the economy, one has an asymptotic result on the convergence of oligopoly equilibria to the Walras equilibrium together with a generic existence result for the Cournot-Walras. Received: June 20, 2002; revised version: November 20, 2002 RID="*" ID="*" Part of this paper was written while the second author was visiting the Universidad de Vigo. The support of the department of mathematics is gratefully acknowledged. Correspondence to: J.M. Bonnisseau