Computing welfare losses from data under imperfect competition with heterogeneous goods

We study the percentage of welfare losses (PWL) yielded by imperfect competition under product differentiation. When demand is linear, even if prices, outputs, costs and the number of firms can be observed, PWL is arbitrary in both Cournot and Bertrand equilibria. If in addition the elasticity of demand (resp. cross elasticity of demand) is known, we can calculate PWL in a Cournot (resp. Bertrand) equilibrium. When demand is isoelastic and there are many firms, PWL can be computed from prices, outputs, costs and the number of firms. We find that price–marginal cost margins and demand elasticities may influence PWL in a counterintuitive way. We also provide conditions under which PWL increases or decreases with concentration.     

When is it rational for firms to acquire silent interests in rivals?

The cartelizing effects of firms' shareholding in rivals have been well established theoretically, yet empirical instances of such are rate to nonexistent. It is argued here that if the stock market is efficient in the sense that share prices reflect post-share trading product market equilibria, then acquiring shares in rivals is not subgame perfect for Cournot oligopolies but is subgame perfect for some Bertrand oligopolies. Acquiring a silent interest in a rival is an example of the “fat cat ploy”. That the stock market is not a cartel maker is consistent with Cournot having wide empirical application, but not with Bertrand.     

On the Relationship between International Outsourcing and Price–Cost Margins in European Industries

This paper sets up a model, where multinationals compete in quantities and domestic firms form a competitive fringe. Within this framework, we analyse the relationship between market concentration, international outsourcing and the industry price-cost margin. The empirical results of a panel of 66 industries and the EU12 countries in the 1990s strongly confirm our theoretical hypotheses. Market concentration and international outsourcing are positively related to industry price–cost margins. In a thought experiment, we show that industry price–cost margins would have decreased by 0.4 percentage points more in the 1990s, if international outsourcing had not changed since 1990. In addition, international outsourcing accounts for a convergence in margins across industries in the last decade.     

Profitability,concentration and trade flows: Issues of non-linearity and exogeneity

This paper deals with the econometric estimation of a traditional profitability model employing cross-section data for 110 4-digit Canadian manufacturing industries for the period 1972–1976. A series of estimations and statistical tests suggest that the relationship between industry price—cost margins and the Herfindahl index of concentration is non-linear, non-monotonic but exhibits an everal upward trend across concentration classes. Empirical evidence regarding the disciplinary effect of imports does not support the import competition hypothesis.     

MARKET MAKING OLIGOPOLY*

This paper analyzes price competition between market makers who set costly capacity constraints before they intermediate between producers and consumers. The unique equilibrium outcome with pure strategies at the capacity stage is the Cournot outcome. The paper thus provides a rationale for Cournot‐type competition between market makers. This contrasts with previous findings in the literature, where due to the absence of capacity constraints that are set ex ante the Bertrand result typically obtains.     

Price and quantity experimentation: A synthesis

This paper compares experimentation about product differentiation in a linear setting under four market structures: quantity-setting and price-setting monopoly, Cournot and Bertrand duopoly. Quantity-setting firms always experiment by raising their quantities and the monopolist experiments relatively more than the duopolists. A price-setting monopolist does not experiment. The value of information to Bertrand duopolists may be positive or negative depending on the degree of product differentiation. When information is valuable, price-setting duopolists experiment by lowering prices. A numerical example indicates that the intensity of experimentation is higher in a Cournot duopoly than in a Bertrand duopoly.     

Testing dynamic oligopolistic interaction: evidence from the semiconductor industry

The objective of this paper is to test whether firms in the dynamic random access memory (DRAM) industry take the intertemporal strategic effect of their contemporaneous output decision on their rivals’ future output decision into account or whether they precommit themselves to a production plan. Learning-by-doing and spillovers are present in this industry and introduce an intertemporal component to firms’ strategies. A simplified version of Jarmin's [RAND J. Econ. 250 (1994) 441] dynamic oligopolistic model is applied to firm-level data. Demand and pricing relations for five DRAM generations are estimated. The empirical results show that firms behave strategically and price–cost margins are likely overestimated in a precommitment specification.     

An Asymmetric Oligopolist can Improve Welfare by Raising Price

We demonstrate that, in Bertrand/Cournot equilibrium, a firm with a relatively small market share may improve social welfare by raising its price. This could be because the price increase can mitigate an output-structure distortion: if there are two goods which have the same marginal cost, then, under some conditions, the good in higher demand (the efficient good) will have a higher markup rate than the other good (the inefficient good). This suggests that the output structure is distorted in favor of the inefficient good, since the higher markup rate of the efficient good should lead to a considerable increase in demand for the inefficient good.     

The incentives for cost reduction in a differentiated industry

This paper investigates how the incentives for cost reduction in a differentiated industry depend upon the degree of product substitutability. When goods are imperfect substitutes, both Cournot and Bertrand competition result in underinvestment in the sense that a social planner would be willing to pay more for a given cost reduction than a profit-maximizing firm. Overinvestment may occur when the goods are sufficiently close substitutes. Similarly, Cournot competition provides a stronger incentive to innovate than Bertrand competition if the degree of substitutability is low, and a weaker incentive if this degree is high.     

Estimation of price-cost margins and union bargaining power for Belgian manufacturing

This paper extends Hall's (1988) [Hall, R.E., 1988. The relationship between price and marginal cost in US industry, Journal of Political Economy, 96, 921–947] methodology to analyze imperfections in both the product and the labor market for firms in the Belgian manufacturing industry over the period 1988–1995. We investigate the heterogeneity in price-cost mark-up and workers' bargaining power parameters among 18 sectors within the manufacturing industry as well as the relationship between both parameters. Using a sample of more than 7000 firms, our GMM results indicate that ignoring imperfection in the labor market leads to an underestimation of the price-cost margin evaluated at perfect competition in the labor market. These findings are confirmed in the sectoral analysis. Sectors with higher workers' bargaining power typically show higher price-cost margins.     

The Year in Review: Economics at the Antitrust Division, 2006–2007

In this paper, we evaluate the scope of Chadwick’s claim on the superiority of competition for the market over competition in the market under incomplete information. We firstly characterize the expected outcome achieved under competition in the market at a Cournot Bayesian-Nash equilibrium. Then we characterize the optimal expected outcome achieved under a competition for the market mechanism designed by a government facing a shadow cost of public funds. We show that a regulated monopoly selected by an auction mechanism results in higher expected welfare than does duopoly competition when the entry cost is low but that the opposite holds when the market size is small and the entry cost is high for some values of the shadow cost of public funds. These results are explained by the influence of adverse selection on the entry decision at the Cournot equilibrium and by the level of expected total fixed costs in both mechanisms.      

Markup pricing in petroleum refining:: A multiproduct framework

This paper describes a structural model of markup pricing under joint production with quasi-fixed inputs of capital, labor, and inventories. The price–cost markups are functions of the inverse price elasticity of demand, an industry average conjectural variation elasticity, and the inventory to sales ratio. Our empirical findings suggest significant markups over marginal cost that differ considerably by product. This study also estimates the elasticities of markups with respect to supply and demand shocks.     

Target pricing: Demand-side versus supply-side approaches

The practice of target pricing has been a key factor in the success of Japanese manufacturers. In the more commonly known demand-side approach, the target price for the supplier equals the manufacturer's market price less a percent margin for the manufacturer but no cost-improvement expenses are shared. In the supply-side approach, cost-improvement expenses are shared and the target price equals the supplier's cost plus a percent margin for the supplier. Using a general oligopoly and Cournot duopoly models, we characterize the equilibrium and optimal policy for each approach under various conditions. We find that sharing cost-reduction expenses allows the manufacturer using the supply-side approach to attain competitive advantage in the form of increased market share and higher profit, particularly in industrial conditions where margins are thin and price sensitivities are high.     

On the endogeneity of Cournot, Bertrand, and Stackelberg competition in oligopolies

In many industries, firms pre-order input and forward sell output prior to the actual production period. It is known that forward buying input induces a “Cournot-Stackelberg endogeneity” (both Cournot and Stackelberg outcomes may result in equilibrium) and forward selling output induces a convergence to the Bertrand solution. I analyze the generalized model where firms pre-order input and forward sell output. First, I consider oligopolists producing homogenous goods, generalize the Cournot-Stackelberg endogeneity to oligopoly, and show that it additionally includes Bertrand in the generalized model. This shows that the “mode of competition” between firms may be entirely endogenous. Second, I consider duopolies producing heterogenous goods. The set of equilibrium outcomes is characterized and shown not to contain the Bertrand solution anymore. Yet, forward sales increase welfare also in this case, notably even when goods are complements.     

The Entry-Inducing Effects of Horizontal Mergers: An Exploratory Analysis

Antitrust law presumes that entry normally prevents or reverses anticompetitive effects from horizontal mergers. But when sunk costs associated with entry are at levels suggested by prevailing market structure, the opportunity for entry created by an anticompetitive merger plausibly is too small to induce entry, even absent Stiglerian ‘barriers to entry.’ This is illustrated for Cournot and Bertrand models. Significant entry also makes otherwise profitable Bertrand mergers unprofitable, assuming no efficiency gains. Consequently, the entry issue can be collapsed into the efficiency issue: if a presumably profitable merger does not generate significant efficiencies, it cannot be expected to induce entry.     

Economics at the Antitrust Division: 2017–2018

This article describes some of the work of Antitrust Division economists over the past year, with a focus on modeling. It begins by illustrating the mapping from evidence to prediction using tools for assessing the effects of mergers using Bertrand, Cournot, and auction models. It then turns to two hot topics in competition policy: the implications of claims of increasing margins for merger enforcement and the validity of claims of increasing concentration. Finally, it considers how mergers affect prices in bargaining models.     

Optimal bid disclosure in patent license auctions under alternative modes of competition

The literature on patent license auctions in oligopoly assumed that the auctioneer reveals the winning bid and stressed that this gives firms an incentive to bid high in order to signal an aggressive output strategy in a downstream Cournot market game, and conversely bid low to signal acquiescent pricing in a Bertrand market game. The present paper examines the information revealed by publishing the winning or the losing or no bid, assuming an oligopoly with differentiated goods. We rank disclosure rules and find that it is not optimal for the innovator to disclose the winning bid, regardless of the mode of competition.     

Common ownership,market power,and innovation

I examine the effects of overlapping ownership on market power when there are external effects across firms. This is done in an oligopoly model with cost-reducing innovation with technological spillovers where firms have an overlapping ownership structure based largely on López and Vives (2019). The model allows for Cournot competition with homogeneous product and for Bertrand with differentiated products as well as for strategic effects of R&D investment. It derives positive testable implications and normative results to inform policy.     

The incentives for takeover in oligopoly

We present a model of takeover where the target optimally sets its reserve price. Under relatively standard symmetry restrictions, we obtain a unique equilibrium. The probability of takeover is only a function of the number of firms and of the insiders' share of total industry gains due to the increase in concentration. Our main application is to the linear Cournot and Bertrand models. A takeover is more likely under Bertrand competition if goods are substitutes, and more likely under Cournot competition if goods are complements.     

Pricing strategy, quality signaling, and entry deterrence

I investigate a pricing strategy that is aimed at deterring entry by applying a two-period model of a durable-goods monopolist. There exists an incumbent that is of two types, that is, high and low quality types. They differ in terms of their R&D capabilities, and the incumbent's type is assumed to be unknown to an entrant. If the entrant decided to enter the market, Nash–Bertrand price competition ensues between the incumbent and the entrant. I show that not only limit pricing but also prestige pricing signals the incumbent's quality type, which serves to discourage entry. In the prestige pricing, the high-quality type sells the products at an intentionally higher price. I also show that although limit pricing is more desirable than prestige pricing from a social welfare viewpoint, the incumbent can still choose prestige pricing.