A note on the equilibria of an economic model with local competition ''à la Cournot''

Agraïments: This work was supported in part by Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and JCCM (Junta de Comunidades de Castilla-La Mancha), grant number PEII09-0220-0222.Guirao and Rubio (2010) [12] introduce an economic model, which generalizes the classical duopoly of Cournot type, where the competitors are located around a circle or a line and each firm competes ''à la Cournot'' with its right and left neighboring. For the case of having three and four players, we describe completely the bifurcations of equilibria in terms of the production costs of each firm and we study the stability of them. Moreover, for the case of four players we provide some information on the two-periodic orbits of the system

The More Cooperation, the More Competition? A Cournot Analysis of the Benefits of Electric Market Coupling

Market coupling in Belgian and Dutch markets would permit more efficient use of intercountry transmission, 1) by counting only net flows against transmission limits, 2) by improving access to the Belgian market, and 3) by eliminating the mismatch in timing between interface auctions and the energy spot market. A Cournot market model that accounts for the region’s transmission pricing rules and limitations is used to simulate market outcomes with and without market coupling. This accounts for 1) and 2). Market coupling improves social surplus in the order of 108 €/year, unless it encourages the largest producer in the region to switch from a price-taking strategy in Belgium to a Cournot strategy due to a perceived diminishment of the threat of regulatory intervention. Benefit to Dutch consumers depends on the behavior of this company. The results illustrate how large-scale oligopoly models can be useful for assessing market integration

Consistent conjectural variations equilibria in strategic multilateral exchange

In this note, we address the problem of determining which conjectural variations general equilibria are consistent in strategic multilateral exchange. We therefore consider expectations in a simple conjectural general equilibrium model of a pure exchange economy under strategic interactions. Three results are obtained. Firstly, the competitive equilibrium is a locally consistent conjectural general equilibrium. Secondly, the symmetric Cournot oligopoly equilibrium is not a locally consistent conjectural general equilibrium. Thirdly, the symmetric collusive equilibrium is a locally consistent conjectural general equilibrium.

The More Cooperation, the More Competition? A Cournot Analysis of the Benefits of Electric Market Coupling

Market coupling in Belgian and Dutch markets would permit more efficient use of intercountry transmission, 1) by counting only net flows against transmission limits, 2) by improving access to the Belgian market, and 3) by eliminating the mismatch in timing between interface auctions and the energy spot market. A Cournot market model that accounts for the region’s transmission pricing rules and limitations is used to simulate market outcomes with and without market coupling. This accounts for 1) and 2). Market coupling improves social surplus in the order of 108 €/year, unless it encourages the largest producer in the region to switch from a price-taking strategy in Belgium to a Cournot strategy due to a perceived diminishment of the threat of regulatory intervention. Benefit to Dutch consumers depends on the behavior of this company. The results illustrate how large-scale oligopoly models can be useful for assessing market integration.Electric power, Electric transmission, Liberalization, Oligopoly, Complementarity models, Computational models, Netherlands, Belgium, France, Germany, Market Coupling

Competing for a duopoly : international trade and tax competition

Oligopoly is empirically prevalent in the industries where MNEs operate and national governments compete with fiscal inducements for their FDI projects. Despite this, existing formal treatments of fiscal competition generally focus on the polar cases of perfect competition and monopoly. We consider the competition between two potential host governments to attract the investment of both firms in a duopolistic industry. Competition by identical countries for a monopoly firm's investment is known to result in a 'race to the bottom' where all rents are captured by the firm through subsidies. We demonstrate that with two firms, both are taxed in equilibrium, despite the explicit non-cooperation between governments. When countries differ in size, a single firm will be attracted to the larger market. We explore the conditions under which both firms in the duopoly co-locate and when each nation attracts a firm in equilibrium. Our results are consistent with the observed stability of effective corporate tax rates in the face of ongoing globalization, and our analysis readily generalizes to many specifications with oligopoly in the product markets

Competition and growth: reinterpreting their relationship

In this paper we modify a standard quality ladder model by assuming that R&D is driven by outsider firms and the winners of the race sell licenses over their patents, instead of entering directly the inter- mediate good sector. As a reward they get the aggregate profit of the industry. Moreover, in the intermediate good sector firms compete à la Cournot and it is assumed that there are spillovers represented by strategic complementarities on costs. Our goal is to prove that there exists an interval of values of the spillover parameter such that the relationship between competition and growth is an inverted-U-shape.quality ladder, Cournot oligopoly, strategic complementarities, competition and growth

Environmental Regulationand the Eco-Industry

This paper re-examines environmental regulation, under the assumption that pollution abatement technologies and services are provided by an imperfectly competitive environment industry. It is shown that each regulatory instrument (emission taxes and quotas; design standards; and voluntary agreements) has a specific impact on the price-elasticity of the polluters’ demand for abatement services, hence on the market power of the eco-industry and the resulting cost of abatement. This implies that the optimal pollution tax will be higher than the marginal social cost of pollution, while a voluntary approach to pollution abatement may fail unless the eco-industry itself is willing to participate.Pollution regulation, End-of-pipe pollution abatement, Environment industry

Reciprocal Dumping with Bertrand Competition

This paper examines if international trade can reduce total welfare in an international oligopoly with differentiated goods. We show that welfare is a U-shaped function in the transport cost as long as trade occurs in equilibrium. With a Cournot duopoly trade can reduce welfare compared to autarchy for any degree of product differentiation. Under Bertrand competition we show that trade may reduce welfare compared to autarchy, if firms produce sufficiently close substitutes and the autarchy equilibrium is sufficiently competitive. Otherwise it can not.Reciprocal Dumping; Intra-Industry Trade; Oligopoly; Product Differentiation; Transport Costs

Phasing out the U.S. Federal Helium Reserve: Policy insights from a world helium model

This paper develops a detailed partial equilibrium model of the global helium market to study the effects of the recently decided rapid phase out of the U.S. Federal Helium Reserve (FHR), a vast strategic stockpile accumulated during the 1960s. The model incorporates a detailed representation of that industry and treats both helium producers and the FHR as players in a dynamic non-cooperative game. The goal of each player is assumed to be the maximization of discounted profit, subject to technical and resource constraints. We consider two alternative policies aimed at organizing the phase out of the FHR: the currently implemented one and a less stringent one whereby the FHR would be allowed to operate as a profit-maximizing agent during a 20-year extended period. Evidences gained from a series of market simulations indicate that, compared to the current policy, the less stringent policy mandate systematically increases the financial return to the U.S. federal budget, always enhances environmental outcomes as it lowers helium venting into the atmosphere, and also augments global welfare in three out of the four scenarios considered in the paper

Competition and access price regulation in the broadband market

We construct a model for differentiated Cournot competition between service-based and infrastructure-based firms, out of which one infrastructure-based firm (the incumbent) supplies to the service-based firms. We seek for and compare the socially optimal and the incumbent’s profit maximizing access price in two scenarios: (i) service-based firms and incumbent supply homogeneous services (partial differentiation), and (ii) all services are horizontally differentiated (uniform differentiation). We show that in both cases the incumbent never forecloses service-based firms if infrastructure-based competition is present or if services are somewhat differentiated. Under uniform differentiation the welfare optimizing access price is below marginal cost, hence the incumbent subsidizes the production of service-based firms and makes zero profit. In the case of partial differentiation, the same result obtains when both markets are concentrated. However, if markets are not concentrated, the socially optimal access fee exceeds the marginal cost.