Mixed pricing in oligopoly with limited monopoly

We analyze price competition between two brands. Buyers consist of switchers and two segments of customers with limited brand loyalty. We identify a unique symmetric mixed-strategy price equilibrium and find that competition is most relaxed when there exists some switchers.     

On hierarchical competition in oligopoly

In this paper, we consider a hierarchical oligopoly model, in which firms compete on quantities of an homogeneous product. We provide a proof and an interpretation that under the three necessary and sufficient conditions of linear aggregate demand, constant and identical marginal costs, the strategy of leaders at any stage depends neither on the number of leaders who play after nor on the number of remaining stages. So, all firms behave as Cournotian oligopolists on the residual demand. We show that these three assumptions are not only sufficient but also necessary. Any departure from any of these assumptions rules out this property.     

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.     

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.     

Mixed markets in bilateral monopoly

Should we expect to see patterns in the privatization of a public bilateral monopoly? To address this question, the paper analyzes the welfare implications of privatization and examines the interplay of firm location in the vertical stream, differential priorities on private and public profit in welfare and cost asymmetries in a mixed bilateral monopoly. We conclude that merely comparing cost savings from privatization upstream/downstream, is inadequate. If public profit is relatively insignificant in welfare, then only relative cost savings matter. However, if public profit is sufficiently important, then privatization downstream will maximize welfare if it is as (or more) cost effective compared to privatization upstream. We find that downstream privatization can be better than upstream privatization even when the latter is more cost effective than the former.     

Modelling upstream and downstream market power in bilateral oligopoly

This article develops a general model that estimates market power exertion in a bilateral market relationship for processors and retailers where each may also have market power in their primary input market and output markets, respectively. Monte Carlo experiments are used to generate industry data for market structures such as perfect competition, monopoly, monopsony, bilateral imperfect competition with an integrated processor/retailer, bilateral imperfect competition with separate processor and retailer, and bilateral imperfect competition with four adjacent upstream and downstream markets. Then, new empirical industrial organization models are estimated using the data with models that match the market structure under which the data were generated (true) and with models that reflect alternative market structures (alternative). The general model is derived using the production function approach without imposing the fixed proportion assumption. Monte Carlo simulation results indicate that the general model is preferred to alternative models that presume competitive behaviour by processors in primary input procurement and by retailers in the output market. Results indicate that less flexible models lead to biased market power estimates in the presence of market power in the corresponding input and output markets.     

Quantity competition vs. price competition under optimal subsidy in a mixed oligopoly

This paper reconsiders the literature on the irrelevance of privatization in mixed markets within which both quantity and price competition are investigated under product differentiation. By allowing for partially privatization of a state-controlled firm, we explore competition under different timings of firms' moves and derive the conditions under which an optimal subsidy allows to achieve maximum efficiency. We show that, irrespective of the mode of competition, while the ownership of the controlled firm is irrelevant when firms play simultaneously, it matters when firms compete sequentially, requiring the leader to be publicly-owned for an optimal subsidy to restore the first-best. The paper also focuses on the extent to which a subsidy is needed to attain the social optimum in the considered scenarios, providing an ordering which highlights the subsidy equivalence between Cournot (Bertrand) private leadership and simultaneous Bertrand (Cournot) under duopoly, and the dominance of the former in oligopoly.     

Bertrand versus Cournot competition in a downstream mixed oligopoly with foreign ownership

Focusing on foreign ownership in the private firm, we examine the Cournot-Bertrand comparison in a mixed oligopolistic market with vertical market structure. We have found that if public and private firms were charged with uniform price for their inputs, then Cournot-Bertrand ranking in market outcomes confirms those obtained by Ghosh and Mitra (2010). This implies that under uniform pricing in the upstream sector, the vertical market structure does not have substantial influences on Cournot-Bertrand ranking. However, if discriminatory pricing is adopted, firm's profits, output, and social welfare are often reversed to those obtained from uniform pricing in the upstream sector. Given the closeness of products, if the share of foreign ownership is sufficiently low, social welfare in Cournot competition can exceed that of Bertrand competition, contrasting with the standard welfare ranking that Bertrand welfare is strictly higher than Cournot. This implies that Cournot competition can be more socially desirable than Bertrand in mixed oligopoly with vertical market structure if discriminatory pricing scheme is adopted by foreign upstream monopolists.     

Endogenous timing,strategic tariff game and bilateral trade in vertical oligopoly

This paper builds an observable delay game in endogenous timing to study the possible occurrence of trade wars in a vertical, bilateral trade model. It examines the effects of production cost differences and order of moves on optimal tariffs, market equilibria, dumping margin and social welfare in both fixed timing and endogenous timing games. In a fixed timing game, it shows that price dumping in the intermediate good market arises from differences in country-specific final good production costs. Different from Bernhofen (1995; Journal of International Economics), trade costs resulting from reciprocal tariffs in upstream markets can reverse the price dumping under certain conditions. In an endogenous timing game, this paper finds that the magnitude of cost differences significantly influences countries’ decisions on the order of moves in a strategic tariff-making game. Both countries want to be the first movers under a small cost difference and consequently reach a simultaneous equilibrium result. This demonstrates that the second-best equilibrium proceeds under certain conditions. Under a large cost difference, sequential policy-making is the subgame perfect Nash equilibrium. If the cost difference is sufficiently large, both countries have an incentive to launch a trade war as a multiple equilibrium game.     

Cooperative choice of corporate social responsibility in a bilateral monopoly model

This article presents an examination of a linear bilateral monopoly model with endogenous and cooperative choice of corporate social responsibility (CSR) level. This article also describes an investigation of the effects of cooperative choice of CSR on the market and welfare. New findings are explicit derivation of the necessary and sufficient condition for solving a double marginalization problem in the bilateral monopoly model with CSR. In addition, this report is the first demonstrating that cooperative CSR with Nash bargaining improves consumer surplus, social welfare and each firm’s profit to a level higher than that achieved through noncooperative CSR. Furthermore, cooperative CSR with Nash bargaining is shown to be capable of completely solving the double marginalization problem generated by a bilateral monopoly, although the manufacturer and the retailer are not vertically integrated.     

Conjectural-variation models and supergames with price competition in a differentiated product oligopoly

Conjectural-variation models (CV models) are popular in empirical research as they infer the degree of market power from real data. Theorists of industrial organization, however, disapprove of them for lack of theoretical foundation arguing that dynamic reactions are forced into a static model with the strategy space and time horizon only loosely defined. The presented model follows an idea put forward by Cabral (1995) and demonstrates that the CV model can be interpreted as the joint-profit-maximizing steady-state reduced form of a price-setting supergame in a differentiated product market under optimal punishment strategies. For the symmetric two-firm case the CV parameter is shown to cover the full range of possible outcomes — from Bertrand competition to joint unconstrained monopoly — depending on the degree of product differentiation, market growth, bankruptcy risk, and the discount rate. For the asymmetric-cost case numerical calculations are provided.     

Long run equilibria in an asymmetric oligopoly

Summary. Consider an oligopolistic industry composed of two groups (or populations) of firms, the low cost firms and the high cost firms. The firms produce a homogeneous good. I study the finite population evolutionarily stable strategy defined by Schaffer (1988), and the long run equilibrium in the stochastic evolutionary dynamics based on imitation and experimentation of strategies by firms in each group. I will show the following results. 1) The finite population evolutionarily stable strategy (ESS) output is equal to the competitive (or Walrasian) output in each group of the firms. 2) Under the assumption that the marginal cost is increasing, the ESS state is the long run equilibrium in the stochastic evolutionary dynamics in the limit as the output grid step, which will be defined in the paper, approaches to zero. Received: September 19, 1997; revised: June 18, 1998     

Losses from competition in a dynamic game model of a renewable resource oligopoly

This article develops a dynamic game model of an asymmetric oligopoly with a renewable resource to reconsider welfare effects of increases in the number of firms. We show that increasing not only the number of inefficient firms but also that of efficient firms reduces welfare, which sharply contrasts to a static outcome. It is discussed that the closed-loop property of feedback strategies plays a decisive role in this finding.     

The core in an oligopoly market with indivisibility

Summary. This paper studies the core in an oligopoly market with indivisibility. It provides necessary and sufficient conditions for core existence in a general m-buyer n-seller market with indivisibility. When costs are dominated by opportunity costs (i.e., a firm's variable costs are sufficiently small), the core condition can be characterized by the primitive market parameters. In a 3-2 market with opportunity cost, the core is non-empty if and only if the larger seller's opportunity cost is either sufficiently large or sufficiently small. Received: June 9, 1999; revised version: October 22, 1999     

The effects of taxation,price control and government contracts in oligopoly and monopolistic competition

Many government contracts with or policies towards oligopolistic sectors essentially involve private firms selling a given proportion (ϑ), or quantity, of output to the government at a fixed price (P_R) with the remainder being sold on the open-market. Often this is combined with consumer rationing. Examples include cement and sugar in India, and health, housing and defence in many countries. The paper investigates the effects of these schemes (including sales and excise taxation) on prices, output and household welfare under oligopoly and monopolistic competition. Less government control (reduced ϑ) may raise prices and tax shifting can be above or below 100 percent.     

Playing monopoly in the creek: Imperfect competition, development, and in-stream flows

Land ownership and control of development in new and frontier cities is often concentrated. Local public goods, such as wetlands and riparian habitats, can be adversely affected by development. Regulatory pressure to protect these local public goods may not emerge until after some development has occurred. When development rights are insecure, an incentive exists to accelerate early development, an incentive that increases with the number of firms. Further, multiple equilibria may exist, which can result in large increases in development for small increases in the number of firms. When firms are uncertain about how the regulator values the local public good, development may be further accelerated and there may be even more equilibria.     

Debt as a collusive device in an oligopoly supergame

This paper explores the impact of debt holdings on the output decisions of firms in an oligopoly supergame with stochastic demand fluctuations. It is demonstrated that when perfect collusion is not feasible then there exist circumstances in which increased debt holdings may facilitate tacit collusion. This occurs because higher debt levels act as a credible commitment device which lowers the payoffs accruing to a firm when it defects from the tacitly collusive equilibrium. It is further shown that in these circumstances firms may have an incentive to hold debt for strategic purposes which promote collusion.     

Learning through experimentation in an oligopoly market with asymmetric information

Unlike previous literature, in which firms compete in the market with the same information, this article analyses a two‐period duopoly game in which only one firm is completely informed about the market conditions, whereas the other firm is unaware of one parameter of the demand curve. In this setting, we describe how the informed firm uses its price set in period 1 in order to reveal or to hide its private information and how the uninformed firm uses its own price in period 1 in order to learn the market conditions when they are not revealed by its rival. Specifically, we obtained the conditions under which the informed firm sets a higher price than its optimum in the first period to hide its private information in certain cases and to reveal that information in others. Likewise, this paper describes the conditions under which the uninformed firm sets a lower price than its optimum in period 1 in order to learn the unknown parameter. We found that the informed firm's cost of revealing its private information to its rival is lower than the uninformed firm's cost of learning the market conditions.