Strategic tariffs, tariff jumping, and heterogeneous firms

The majority of research to date investigating strategic tariffs in the presence of multinationals finds a knife-edge result where, in equilibrium, all foreign firms are either multinationals or exporters. Utilizing a model of heterogeneous firms, we find equilibria in which both pure exporters and multinationals coexist. We utilize this model to study the case of endogenously chosen tariffs. As is standard, Nash equilibrium tariffs are higher than the socially optimal tariffs. Unlike existing models with homogeneous firms, we find that non-cooperative tariffs promote the existence of low-productivity firms relative to the socially optimal tariffs. This highlights a new source of inefficiency from tariff competition not found in models of homogeneous firms. In addition, we find that in many cases the Nash equilibrium tariff when FDI is a potential firm structure is lower than when it is not. As a result, FDI improves welfare by mitigating tariff competition.     

消费者寻求多样化与企业定价竞争

消费者寻求多样化的购买行为会对寡头企业之间的价格竞争和经济效率产生重要影响。文章研究发现,针对消费者寻求多样化的购买行为,企业会对忠诚的消费者给予价格优惠,而对新顾客索取高价;消费者寻求多样化购买行为弱化了企业两期价格竞争,导致"默契合谋";而以两期统一定价为基准的经济效率分析显示,歧视定价机制促进了企业间竞争,导致消费者剩余增加,企业利润减少。     

Behaviour-based price discrimination with cross-group externalities

Two platforms compete for heterogeneous firms and consumers. Platforms are allowed to discriminate prices on the consumers’ side according to their past purchase behaviour. The findings of the paper depend on two dimensions: the relative cross-side externalities and the consumer discounting relative to platform discounting. Price competition is strengthened in the poaching phase compared to the case where a uniform price is charged in both sides, whereas the early price competition is relaxed if firms exhibit weaker externalities than consumers and if the latter discount sufficiently the future. The overall effect on inter-temporal profits of platforms is negative, but consumers might be harmed by BBPD when they discount sufficiently the future. Finally, depending on consumers’ discounting, total welfare may increase or decrease going from the uniform pricing to the discriminatory pricing.     

Consumer myopia, standardization and aftermarket monopolization

In this paper, I show that the standard Bertrand competition argument does not apply when firms compete for myopic consumers who optimize period-by-period. I develop the model in the context of aftermarket. With overlapping-generations of consumers, simultaneous product offerings in the primary market and aftermarket establishes a price floor for the primary good. This constraint prevents aftermarket rents from being dissipated by the primary market competition. Duopoly firms earn positive profits despite price competition with undifferentiated products. Nonetheless, government interventions to reinforce aftermarket competition such as a standardization requirement may lead to the partial collapse of the primary market.     

Consumer inertia, firm growth and industry dynamics

We develop a model of firm size, based on the hypothesis that consumers are “locked in,” because of search costs, with firms they have patronized in the past. As a consequence, older firms have a larger clientele and are able to extract higher profits. The equilibrium of this model yields: (i) A downward sloping density of firm sizes. (ii) Older firms are less likely to exit than younger firms. (iii) Larger firms spend more on R&D.     

Certification and minimum quality standards when some consumers are uninformed

We compare certification to a minimum quality standard (MQS) policy in a duopolistic industry where firms incur quality-dependent fixed costs and only a fraction of consumers observe the quality of the offered goods. Compared to the unregulated outcome, both profits and social welfare would increase if firms could commit to producing a higher quality. An MQS restricts the firms׳ quality choice and leads to less differentiated goods. This fuels competition and may therefore deter entry. A certification policy, which awards firms with a certificate if the quality of their products exceeds some threshold, does not restrict the firms׳ quality choice. In contrast to an MQS, certification may lead to more differentiated goods and higher profits. We find that firms are willing to comply with an ambitious certification standard if the share of informed consumers is small. In that case, certification is more effective from a welfare perspective than a minimum quality standard because it is less detrimental to entry.     

Price competition and innovation in markets with brand loyalty

Intuition suggests that in markets with consumer lock-in (‘brand loyalty’), firms with a large customer base earn higher profits. We show for a homogeneous goods duopoly that the intuition can be misleading, as the intensity of price competition depends on the initial market split. We derive mixed-strategy equilibria, and show that competition is often most intense when the market is split evenly. As a result, firms coordinate on an asymmetric split when consumers are not yet attached to firms. We also allow for asymmetric costs, and analyze when firms with a larger customer base are more eager to innovate.     

A model of fashions and status

This paper presents a model of fashion cycles based on the idea that individuals purchase fashion goods because their displayed status increases with the personal status of other consumers who buy the same good. Fashion cycles occur in the model because demand now is a rising function of future prices: if future prices are high, only rich consumers will buy it in the future and the good will have a higher status value in the future and will be more desirable now, even though demand now is a decreasing function of current price. The time inconsistency problem is solved by repeated cycles which allows for reputation building. The crucial assumption made is that there is perfect information about the price path of all firms and the average status of the purchasers of each product. This limits possible profits in fashion markets in competition as imitation of price paths is then possible.     

Negative network effects and asymmetric pure price equilibria

Portuguese Economic Journal - We show that in finite settings with identical firms and consumers, asymmetric pure price equilibria with positive profits exist. We consider a price competition...     

On monopolistic competition and optimal product diversity: workers' rents also matter

Abstract .  In the Dixit-Stiglitz model of monopolistic competition, entry of firms is socially too small. Other authors have shown that excess entry is also a possibility with other preferences for diversity. We show that workers' rents also contribute to explain excess entry through a general equilibrium mechanism. Larger wages indeed raises the aggregate earnings and firms sales and profits, which entices too many firms to enter. We discuss the possibility of over-provision of varieties by comparing the equilibrium to unconstrained and constrained social optima and to other regulatory frameworks where wages are not controlled.     

Platform intermediation in a market for differentiated products

We study a two-sided market where a platform attracts firms selling differentiated products and buyers interested in those products. In the subgame perfect equilibrium of the game, the platform fully internalises the network externalities present in the market and firms and consumers all participate in the platform with probability one. The monopolist intermediary extracts all the economic rents generated in the market, except when firms and consumers can trade outside the platform, in which case consumers obtain a rent that corresponds to the utility they would get if they did trade outside the platform. The market allocation is constraint-efficient in the sense that the monopoly platform does not introduce distortions over and above those arising from the market power of the differentiated product sellers. An increase in the number of retailers increases the amount of variety in the platform but at the same time increases competition. As a result, the platform lowers the firm fees and raises the consumer charges. In contrast, an increase in the extent of product differentiation raises the value of the platform for the consumers but weakens competition. In this case, the platform raises both the charge to the consumers and the fee for the firms.     

Geographical separation of oligopolists can be very competitive

A given number of single, differentiated product oligopolists locate in one of two separate market-places, which consumers access at a cost. Firms set prices and the CES consumers choose purchases at one or both market-places. Firm agglomeration in one market-place produces positive profits because of product differentiation. But if consumer access costs are homogeneous and products are sufficiently good substitutes, geographical separation of firms produces prices analogous to homogeneous product Bertrand, and is “very competitive”, the reverse of textbook Hotelling. Hence a novel explanation emerges for the geographical agglomeration of firms producing very similar products.     

The “Dark Side” of Deregulation: How Competition Affects the Size of the Shadow Economy

This paper builds a theory that explains the dramatic expansion of the underground economy in the late 1990s by the sharp increase in market competition worldwide. I model an oligopoly game where firms first decide on entry and sector, and then compete in price. Operating in the underground sector reduces variable costs, but comes at the risk of being detected and fined. As competition intensifies (i.e., as consumers become more and more price‐sensitive), underground firms attract more demand, thus stealing business and profits from official firms. As a consequence, more firms enter the underground economy. A lenient policy toward the underground economy may increase welfare when markups are high, but will be welfare‐detrimental when markups are low.     

Undesirable competition

We show that the entry of private profit-maximising firms makes the consumers worse off compared to having a nationalised monopoly. Such entry increases the nationalised firm’s profit, industry profit, and social welfare, at the expense of the consumers. Our result is important for competition policy.     

Optimal debt contracts and product market competition with exit and entry

We show how competition in oligopolies, with the possibility of failure and exit of a levered incumbent, affects the ex-ante design of optimal debt contracts. When a levered firm's profits are unobservable, a debt contract imposes the threat of nonrenewal to induce truthful revelation. Because nonrenewal impacts the future profitability of the surviving competitor, the contract influences the competitor's pricing strategy and the equilibrium profits of both firms. The optimal contract is quite different from a standard debt contract, and induces the competitor to be less aggressive, resulting in higher equilibrium prices and profits, and higher returns for investors.     

On the Relationship Between Innovation and Product Market Competition

This paper considers a theoretical model where firms reduce their initial unit costs by spending on R&D activities in a collusive market and where firms are able to coordinate on distinct output levels other than that of the unrestricted joint profit maximization outcome. We show that, in our model, the degree of collusion (captured by the discount factor) reduces the incentive to innovate when innovation is made non‐cooperatively. The reason is that non‐cooperative R&D introduces a negative externality where firms overinvest beyond the effort required to minimize the cost in order to extract profits from the rival firm, and a reduction in product competition helps internalize the externality. In a research joint venture the absence of R&D rivalry leads to contrary results. The main implication is that the validity of the Schumpeterian hypotheses depends on the extent of cooperation at the R&D stage.     

Economic integration and tax policy with endogenous foreign firm ownership

This paper analyses the impact of economic integration on tax policy in a model where corporate taxation is motivated by the desire to tax profits accruing to foreigners and the number of foreign owned firms is endogenous. Increasing economic integration is modeled as a decline in trade costs or tariffs. It turns out that declining trade costs lead to increasing profit taxes if the government may use import tariffs. If tariffs are not available, declining trade costs induce profit taxes to decline as well. A mandatory reduction in tariffs also triggers profit tax reductions. We conclude that the existence of foreign firm ownership may fail to prevent profit taxes from declining as economic integration proceeds.     

THE WELFARE PERFORMANCE OF SEQUENTIAL PRICING MECHANISMS*

Consumers are commonly required to subscribe to particular tariff options before uncertainty regarding their future purchases gets resolved. Since the general comparison of welfare performance of different pricing mechanisms is ambiguous, this article empirically evaluates the expected welfare associated with standard nonlinear pricing and optional tariffs by using information directly linked to the type of individual consumers. Results show that tariffs composed of nonlinear options do not necessarily outperform simpler pricing strategies in terms of expected profits. Furthermore, evidence suggests that a menu of optional two‐part tariffs dominates any other pricing strategy from an expected welfare perspective.     

Personalized pricing and advertising: An asymmetric equilibrium analysis

We study personalized price competition with costly advertising among n quality-cost differentiated firms. Strategies involve mixing over both prices and whether to advertise. In equilibrium, only the top two firms advertise, earning “Bertrand-like” profits. Welfare losses initially rise then fall with the ad cost, with losses due to excessive advertising and sales by the “wrong” firm. When firms are symmetric, the symmetric equilibrium yields perverse comparative statics and is unstable. Our key results apply when demand is elastic, when ad costs are heterogeneous, and with noise in consumer tastes.     

A MARKET WITH A SOCIAL CONSUMPTION EXTERNALITY*

We model a spatial market in which the utility of each consumer is affected by the consumers who buy precisely the same product. The marginal contribution of consumers x's purchase on consumer y depends on |x–y|, which declines as |x–y| increases. Such modelling of preferences fits goods that signal a consumer's place in society—clothing styles, automobiles and jewellry are examples. For 2n + 1 firms we find the unique symmetric equilibrium and derive comparative statics on the optimal number of firms, the largest number of firms the market can support, and the behaviour of profits per firm as n increases.