Progressive entry and the incentives to invest in alternative infrastructures

In this paper we study an entrant’s incentives to build a network infrastructure, when there is an initial phase of service-based competition where it leases access to the incumbent’s infrastructure. We build a model in which the phase of service-based competition allows the entrant to step into the market by progressively acquiring market experience. We show that the acquisition of experience in the phase of service-based competition delays the entrant’s investment when the prospects for infrastructure investment are good, and accelerates investment otherwise. We also show that when the acquisition of experience depends on the entrant’s current customer base and facility-based entry is a long-term possibility, setting a low access price can accelerate the entrant’s investment.     

Regulation,Local Monopolies and Spatial Competition

Many regulated industries involve an oligopoly market structure. We examine optimal incentive regulation for a duopoly model of spatial competition when firms have private cost information. Market structure is endogenous as regulation determines market segments for firms and output distribution across consumers in each firm's market. By varying the assignment of consumers to firms, a relatively more efficient firm can be rewarded with a larger market, thus reducing quantity incentive distortions. We derive the optimal policy, assess the impact of asymmetric information relative to full information, and examine extensions to allow for ex ante asymmetries in firm structure.     

Market Size, Trade, and Productivity

We develop a monopolistically competitive model of trade with firm heterogeneity—in terms of productivity differences—and endogenous differences in the "toughness" of competition across markets—in terms of the number and average productivity of competing firms. We analyse how these features vary across markets of different size that are not perfectly integrated through trade; we then study the effects of different trade liberalization policies. In our model, market size and trade affect the toughness of competition, which then feeds back into the selection of heterogeneous producers and exporters in that market. Aggregate productivity and average mark-ups thus respond to both the size of a market and the extent of its integration through trade (larger, more integrated markets exhibit higher productivity and lower mark-ups). Our model remains highly tractable, even when extended to a general framework with multiple asymmetric countries integrated to different extents through asymmetric trade costs. We believe this provides a useful modelling framework that is particularly well suited to the analysis of trade and regional integration policy scenarios in an environment with heterogeneous firms and endogenous mark-ups.     

Selection,Market Size and International Integration: Do Vertical Linkages Play a Role?

We analyze how increases in the market size and in the level of international integration affect the process of selection among firms with heterogeneous productivity levels when they are interconnected by vertical linkages. We show that when vertical linkages among firms are relatively weak (strong), an increase in the market size softens (toughens) the competition facing firms in this market and more firms of a lower (higher) efficiency survive, increasing (decreasing) the welfare level. Moreover, an increase in the level of economic integration softens competition only for intermediate vertical linkages, worsening the welfare level only for strong linkages.     

Oligopoly with a large number of competitors: asymmetric limit result

We address how profitable innovation is in a competitive market by investigating the asymmetric oligopoly model in which 1 firm (innovator) has a cost advantage that is not drastic enough for her to become a monopolist, and by inducing asymmetric limit outcomes when the number of the other firms (laggard firms) goes to infinity. If the innovator is the Stackelberg leader, two cases can arise: (i) the innovator behaves as in the competitive market or (ii) she occupies the entire market but cannot make the price. If we consider Cournot competition, the innovator becomes the partial monopolist. An erratum to this article can be found at     

Consumer flexibility,data quality and location choice

We analyze firms’ location choices in a Hotelling model with two-dimensional consumer heterogeneity, along addresses and transport cost parameters (flexibility). Firms can price discriminate based on perfect data on consumer addresses and (possibly) imperfect data on consumer flexibility. We show that firms’ location choices depend on how strongly consumers differ in flexibility. Precisely, when consumers are relatively homogeneous, equilibrium locations are socially optimal regardless of the quality of customer flexibility data. However, when consumers are relatively differentiated, firms make socially optimal location choices only when customer flexibility data becomes perfect. These results are driven by the optimal strategy of a firm on its turf, monopolization or market-sharing, which in turn depends on consumer heterogeneity in flexibility. Our analysis is motivated by the availability of customer data, which allows firms to practice third-degree price discrimination based on both consumer characteristics relevant in spatial competition, addresses and transport cost parameters.     

Learning in asymmetric duopoly markets: competition in information and market correlation

This paper explores experimentation and learning in asymmetric duopoly markets with product differentiation and demand uncertainty. We define the concepts of strategic substitutability and strategic complementarity in information and we show how both the mode of information competition and the transmission of information across markets affect duopoly experimentation. We relate information competition with market competition and we find that, when goods are substitutes and the correlation between market shocks is negative, firms will have a higher incentive to experiment in asymmetric markets than in symmetric ones. The opposite result follows when such correlation is positive. Also, when goods are complements the above findings are reversed.JEL Classification: D83, C72The authors thank partial financial support from the Spanish Ministry of Science and Technology under project B2000-1429, from the Spanish Ministry of Education and Science under project SEJ2004-07554 and from the “Generalitat Valénciana” under project GRUPOS04/13.     

Subsidy competition and imperfect labor markets

This study presents a two‐country model of subsidy competition for manufacturing firms under labor market imperfections. Because subsidies affect the distribution of firms, subsidies influence unemployment rates and welfare in both countries. We show that when labor market frictions are high, subsidy competition is beneficial, although subsidies under subsidy competition are inefficiently high. In the coordinated equilibrium, the supranational authority provides a subsidy to firms that equal the expected total search costs, which increases the number of firms relative to laissez‐faire and improves welfare relative to laissez‐faire and subsidy competition. Finally, we find that a rise in a country's labor market frictions raises the equilibrium subsidy rate, affects unemployment rates, and lowers welfare.     

Globalization, Asymmetric Tax Competition, and Fiscal Equalization

Trade integration and the increasing mobility of firms have raised the need for international coordination in corporate tax. In this paper, we study the ability of fiscal equalization to avoid the misallocation of capital across asymmetric countries arising from tax competition. Such a reform respects the principle according to which the tax decision is entirely left up to the nation and links nations engaged in strategic tax policy by transfers. We use a model of trade and location where firms produce under imperfect competition. Our analysis suggests that falling trade costs increase the distortion created by tax competition in the international allocation of production. However, we show that fiscal equalization based on differences in tax revenues or tax base can implement a more efficient tax wedge and spatial allocation of the tax base.     

Can a decline in search cost increase prices?

This paper provides a new explanation of why a decline in consumers’ price search cost may not lead to lower prices. In a duopoly with price competition, I show that when some consumers are captive to one firm, there may be a non‐monotonic relationship between search cost and market power; firms may charge high prices with higher probability and the average price charged may be higher when consumers’ price search cost falls below a critical level. Furthermore, when firms have asymmetric captive segments, expected prices charged by each firm may move in opposite directions as search cost declines.     

Endogenous fluctuations in a cournotian monopolistic competition model with free entry and market power variability

The purpose of this article is to show that there is a link between imperfections of competition and occurrence of endogenous fluctuations. We consider a two-sector model in which a perfectly competitive final good sector uses inputs that are produced in a Cournot monopolistic competition market. We show that when inputs are not perfect substitutes, and the depreciation rate of capital is sufficiently small, Neimark bifurcations are susceptible to emerge. This is a consequence of additional variability in the dynamical system generated by the dependence of the markup on the number of firms. This number changes over time because firms can enter and exit the market without costs. Moreover, a fixed cost in the technology ensures that the number of active firms at a given date is finite provided that the elasticity of substitution between inputs is bounded from above.     

TAX COMPETITION IN A SIMPLE MODEL WITH HETEROGENEOUS FIRMS: HOW LARGER MARKETS REDUCE PROFIT TAXES*

We set up a simple two‐country model of tax competition where firms with different productivity decide in which location to produce and sell output. In this model, a unique, asymmetric Nash equilibrium is shown to exist, provided that countries are sufficiently different with respect to their exogenous market size. Sorting of firms occurs in equilibrium, as the smaller country levies the lower tax rate and attracts the low‐cost firms. A simultaneous expansion of both markets that raises the profitability of firms intensifies tax competition and causes both countries to reduce their tax rates, despite higher corporate tax bases.     

PROFITABLE STRATEGIC DELEGATION WITH CONJECTURAL VARIATIONS

Firms delegate strategic decisions to managers because they find it profitable to do so. In the product market, when agents make conjectures about the reaction of their rivals to marginal changes in their own strategies, the set of equilibriums can be enlarged with respect to the case of no conjectures. This paper takes a duopolistic linear market parameterization where firms selling differentiated products can delegate either price or output decisions to managers. We show that it is a dominant strategy for firms to delegate no matter whether firms are Cournot or Bertrand competitors, although the equilibrium is not necessarily efficient. Futhermore, in equilibrium Cournot competition is more profitable for firms than Bertrand competition. Finally, requiring consistency in conjectures yields the same outcome no matter what type of strategic interaction and managerial choice there is on the part of firms.     

Asymmetry, stability and growth in a step-by-step R&D-race

We define a notion of stability of equilibrium in an infinitely repeated step-by-step R&D race. The unique symmetric equilibrium is shown to be unstable, and stable asymmetric equilibria arise, if product market competition is intense, firms are patient, imitation is difficult and innovations are large. Some predictions based on symmetric equilibria, e.g. that less patient firms always invest less in research, or that more intensive competition leads to higher economic growth, are reversed for “realistic” values of the underlying parameters.     

Price competition and market transparency: evidence from a random response technique

Surveys can increase market transparency when information asymmetries are present—but this will only happen when respondents answer questions truthfully. Sometimes, however, it might not be in the respondents’ best interest to provide truthful information on their firm or market. This will be especially true when other firms can exploit any information they provide. Understanding when, and under what conditions, respondents answer questions truthfully is important to researchers studying these markets and to policymakers using firm surveys to identify ways of improving the business environment. Using data from two countries in South Asia, this paper uses a random response technique to identify respondents that do not answer truthfully. We label these respondents as ‘reticent’. We show that respondents become more reticent when their firms face intense price competition. We argue that this is because intense competition gives respondents a greater incentive to misreport information to reduce market transparency.     

INSUFFICIENT ENTRY OF EMPLOYEE‐CONTROLLED FIRMS IN A FREE‐ENTRY OLIGOPOLY

This study is a theoretical examination of whether employee‐controlled firms (ECFs) enter a free‐entry oligopolistic market excessively or insufficiently, from the viewpoint of welfare maximization. The excess entry theorem is well known in oligopoly theory. According to this theorem, a greater number of profit‐maximizing firms enter a free‐entry oligopolistic market than is optimal for welfare maximization. We demonstrate the possibility that insufficient entry arises when ECFs compete in a free‐entry market. In particular, we show that if both the demand and cost functions are convex, insufficient ECF entry necessarily occurs. Our results suggest that competition among firms seeking purposes other than profit might lead to insufficient entry because differences in competing firms’ objectives affect the intensity of market competition.     

Forward trading in exhaustible-resource oligopoly

We analyze oligopolistic exhaustible-resource depletion when firms can trade forward contracts on deliveries – a market structure relevant for some resource markets (e.g., storable pollution permits, hydro-based power pools) – and find that trading forwards can have substantial implications for resource depletion. We show that when firms’ initial resource-stocks are the same, the subgame-perfect equilibrium path approaches the perfectly competitive path as firms trade forwards frequently. But when the initial stocks differ, firms can credibly escape part of the competitive pressure of forward contracting. It is a unique feature of the resource model that equilibrium contracting and the degree of competition depends on resource endowments.     

On the Optimality of the Competitive Process: Kimura's Theorem and Market Dynamics

This paper considers the optimality properties of a market economy in terms of three propositions that evaluate the outcomes of and the process of competition between a population of firms working within a given economic environment. We show that when firms differ in more than one competitive characteristic then competition does not select in general the most efficient firm nor does it always result in increases in the average efficiency with which resources are utilized. Drawing upon a theorem of Kimura, however, we show that competition has the property of maximizing the rate of change of the average selective characteristics in the population. We conclude that a more nuanced appraisal of the institutions of the competitive process is surely necessary. From an evolutionary standpoint, the outcomes of competition are always contingent on the nature of the selection environment and the characteristics of the whole population of firms that are being selected. This revised version was published online in July 2006 with corrections to the Cover Date.     

Cooperation vs. competition in R&D: The role of stability of equilibrium

We consider a model in which firms first choose process R&D expenditures and then compete in an output market. We show the symmetric equilibrium under R&D competition is sometimes unstable, in which case two asymmetric equilibria must also exist. For the latter, we find, in contrast to the literature that total profits are sometimes higher with R&D competition than with research joint venture cartelization (due to the cost asymmetry of the resulting duopoly in the noncooperative case). Furthermore, these equilibria provide another instance of R&D-induced firm heterogeneity.     

Growth and the cycle: Creative destruction versus entrenchment

Newly estaboished firms often try to secure their market position by building up a base of loyal customers. While recessions may not destroy technological leadership, they may be harmful for such firm-customer relationships. Without such customer bases, these firms find themselves more vulnerable to attacks by competitors. We formulate this idea within an Aghion-Howitt-type model of creative destruction and discuss its implications for growth. In the context of this model, recessions might be good for growth since they weaken the incumbent firm's position and, thereby, stimulate research by outside firms. The model allows for the extreme case where the leading firm can be so entrenched that growth ceases, unless a recession shakes up its customer base. We find a one-to-one relationship between the average growth rate and the cyclical variability, a U-shaped relationship between the average speed of building up good customer relationships and the average growth rate, and a positive relationship between the arrival rate of recessions and average growth. It is finally shown that an appropriate stochastic tax program can implement the social planner's solution. In some cases, general-equilibrium effects may generate interesting results, conflicting with intuition from a partial-equilibrium approach: we show that, in some cases, a social planner might want to subsidize research in order to discourage it.