COLLUSION,FLUCTUATING DEMAND,AND PRICE RIGIDITY*

We study an infinitely repeated Bertrand game in which an i.i.d. demand shock occurs in each period. Each firm receives a private signal about the demand shock at the beginning of each period. At the end of each period, all information but the private signals becomes public. We consider the optimal symmetric perfect public equilibrium (SPPE) mainly for patient firms. We show that price rigidity arises in the optimal SPPE if the accuracy of the private signals is low. We also study the implications of more firms and firms' impatience on collusive pricing.     

Partial vertical ownership

A backward ownership interest held by a downstream firm yields a partial rebate of the upstream margin. Input demand increases with backward ownership, and the upstream firm optimally responds by raising price. With symmetric costs, every downstream firm's equilibrium input/output choice is invariant across a class of ownership profiles, including uniform ownership. Moreover, equity trading results in uniform holdings, so partial vertical ownership may have no real effects. With asymmetric costs ex ante, equity trading amplifies the asymmetries and shifts output toward lower-cost firms. With homogeneous goods, this improves producer and total surplus. With differentiated goods, it may harm consumers.     

A Markup Interpretation of Optimal Investment Rules

We re-examine the basic investment problem of deciding when to incur a sunk cost to obtain a stochastically fluctuating benefit. The optimal investment rule satisfies a trade-off between a larger versus a later net benefit; we show that this trade-off is closely analogous to the standard trade-off for the pricing decision of a firm that faces a downward sloping demand curve. We reinterpret the optimal investment rule as a markup formula involving an elasticity that has exactly the same form as the formula for a firm's optimal markup of price over marginal cost. This is illustrated with several examples.     

发展中国家普遍服务义务的经济分析

本文构建一个简单的非对称信息模型,分析发展中国家特定的普遍服务问题。在模型中,政府与垄断企业的非对称信息产生于在农村提供服务的边际成本,最优普遍服务政策可以用两种规制手段即资费和网络投资来实现。本文对区别定价和统一定价两种情形进行了对比分析,得出的结论是：在实施区别定价时,与完全信息相比,不完全信息将提高农村地区的资费水平,并且减小相应的网络覆盖面积;而在实施统一定价时,农村地区的定价可能降低,但这是以网络覆盖面积的减小为代价。模型结果还表明,合谋的成胁会弱化企业的激励。有意思的是,在这两种定价机制下,企业和纳税人这两种不同的利益集团均有同规制者合谋的动机。实际上,纳税人利益集团的存在,强化了规制者和企业之间的防止合谋约束,并且为了减少规制者同纳税人利益集团的合谋收益,即使规制者具有高成本信息,也会使配置结果扭曲。     

Shared network investment

This paper discusses the case of inter-firm cost sharing in fixed-capital investment in business-related network. Such cooperation among individual firms differs in nature from the collusive conduct in pricing or production in the sense that decisions on short-term production remain independent. The model in this paper stylized a common network that reduces each member firm's variable cost of production. Firms benefit from pooling their investment in this network thanks to cost subadditivity of the investment. Different dues-assignment rules are found to affect firms' incentive in achieving collective efficiency.     

Optimal cartel trigger price strategies

A dynamical model of industry equilibrium is described in which a cartel deters deviations from collusive output levels by threatening to produce at Cournot quantities for a period of fixed duration whenever the market price falls below some trigger price. In this model firms can observe only their own production level and a common market price. The market demand curve is assumed to have a stochastic component, so that an unexpectedly low price may signal either deviations from collusive output levels or a “downward” demand shock.     

反垄断调查的一个鉴别：一致性定价行为背后的差异与合谋

如何区分成本上涨时企业同时涨价的行为究竟是价格合谋还是寡头竞争的企业正常的价格调整行为？这是反垄断执法机构面临的一个难题。本文通过数理模型证明了无论企业进行伯川德竞争还是古诺竞争，寡头竞争的企业的定价随着成本的变化存在一个连续调整路径，而组成卡特尔的企业的定价则会随着成本的变化出现一个不连续的跳跃。因此反垄断执法机构在观察到企业的一致性定价行为之后，如果能从以往的价格监测纪录中发现这些企业在成本下跌时，价格存在着更大幅度的下调，则可以据此怀疑这些企业存在着价格合谋，应开展更深入的调查来搜集这些企业违反《反垄断法》的全面证据。     

Product differentiation,price discrimination and collusion

The existing literature which analyses the relationship between the product differentiation degree and the sustainability of a collusive agreement on price assumes that firms cannot price discriminate, and concludes that there is a negative relationship between the product differentiation degree and the critical discount factor. This paper, in contrast, assumes that firms are able to price discriminate. Within the Hotelling framework, three different collusive schemes are studied: perfect collusion on discriminatory prices; perfect collusion on a uniform price; collusion not to discriminate. We obtain that the critical discount factor of the first and the third collusive scheme does not depend on the product differentiation degree, while the critical discount factor of the second collusive scheme depends positively on the product differentiation degree. Moreover, we show that imperfect collusion is more difficult to sustain than perfect collusion.     

Cost‐Based Anti‐dumping as a Repeated Game

In this paper, we consider anti‐dumping (AD) duties as a tool to facilitate collusion between a domestic and a foreign firm in an infinitely repeated differentiated Bertrand game, where prices are publicly observable and each firm receives a privately observed i.i.d. cost shock in each period. We consider second‐best scenarios, where market‐share or production arrangement with sidepayments is not allowed. We show that there exist equilibrium‐path reciprocal ADs. The collusive (trigger) price is distorted downward compared with complete information benchmark as a trade‐off between diminishing the incentive to deviate and ensuring off‐schedule deviation gains when private cost shocks are highly favourable. The model differs from Green and Porter ( 1984 ) and Rotemberg and Saloner ( 1986 ) in that it is the private cost shocks as opposed to public demand shocks that necessitate modifications of collusion. In conclusion, AD policy may encourage collusion, and therefore, unless the source of market imperfection is carefully examined, laissez faire might be a better choice.     

Managerial incentives and collusive behavior

I characterize the effects of empirically observed managerial incentives on long-run oligopolistic competition. When managers have a preference for smooth time-paths of profits - as revealed by the empirical literature on “income smoothing” - manager-led firms can sustain collusive agreements at lower discount factors. Capped bonus plans and incumbency rents with termination threats make collusion supportable at any discount factor, independent of contracts' duration. When managers have these preferences/incentives and demand fluctuates, “price wars during booms” need not occur: the most collusive price may then be pro-cyclical.     

Capacity-contingent nonlinear pricing by regulated firms

Second-best Pareto optimal pricing by a regulated firm subject to demand and capacity shocks is examined. Nonlinear price schedules for the firm's customers are obtained that are contingent on capacity realizations. The second-best Pareto optimal mechanism also is implemented by an allocation mechanism based on the consumer's choice of a minimum demand or firm power level. The optimal mechanism is implemented as well by a general form of priority pricing.     

Horizontal mergers and product quality

We study the effects of a horizontal merger when firms compete on price and quality. In a Salop framework with three symmetric firms, several striking results appear. First, the merging firms reduce quality but possibly also price, whereas the outside firm increases both price and quality. As a result, the average price in the market increases, but also the average quality. Second, the outside firm benefits more than the merging firms from the merger, and the merger can be unprofitable for the merger partners, i.e., the “merger paradox” may appear. Third, the merger always reduces total consumer utility (though some consumers may benefit), but total welfare can increase due to endogenous quality cost savings. In a generalized framework with n firms, we identify two key factors for the merger effects: (i) the magnitude of marginal variable quality costs, which determines the nature of strategic interaction and (ii) the cross‐quality and cross‐price demand effects, which determines the intensity of price relative to quality competition. These findings have implications for antitrust policy in industries where quality is a key strategic variable for the firms.     

成本冲击与价格粘性的非对称性——来自中国微观制造业企业的证据

本文在状态依存模型框架内,估计了中国制造业企业价格粘性的非对称性和异质性。结果显示制造业产品的价格粘性具有非对称的特征,同时企业的"异质性"也影响了产品的价格粘性。根据价格粘性理论,存在价格粘性时,货币是"非中性"的,通过调整货币数量能够影响短期内的产出。然而,由于价格粘性的非对称性,在通货膨胀时期,央行为了抑制通胀而采取的紧缩性货币政策将更多地表现为产出减少,而非价格水平下降;相反,为提高产出而实行的扩张性货币政策将更多地表现为价格水平上升,而非产出水平提高。只有通货紧缩时期,价格粘性的非对称性出现反转,扩张性货币政策在短期内才更有效。     

Anti-inflation taxation policy: An alternative to wage and price controls

One reason the postwar economy has become increasingly inflation prone is that oligopolistic firms tend to act as if demand is completely inelastic for price increases no greater than the expected rate of inflation. Hence, in the absence of mandatory price controls, there is no effective disincentive at the individual firm level to price increases of this magnitude. The policy proposed below provides such a disincentive by linking each firm's tax rate to the increase in its revenues attributable to price changes.     

Collusive outcomes in price competition

In this paper we provide a sufficient condition for collusive outcomes in a single-shot game of simultaneous price choice in a homogeneous product market with symmetric firms and strictly convex costs. We also prove the counterintuitive result: if the second derivative of the cost function is nonincreasing in output, it is easier to sustain collusion when the number of firms increases.     

ASYMMETRIC INFORMATION FLOWS IN CUSTOMER MARKETS

In customer markets an information asymmetry exists between a firm's current customers and prospective customers. When a firm changes its price, current customers are instantly aware of the price change, while potential customers are informed slowly of the change. The paper explicitly models this information imperfection and the associated asymmetry in firms' customer flows. The main result of the paper is that, because of the information asymmetry, there will be a range of marginal cost and demand over which the firm has no incentive to change price. It is also shown that prices will be more upwardly flexible than downwardly flexible. The size of the range, and the extent of downward price inflexibility, depends on the rate at which information is transmitted to customers.     

A laboratory study of advertising and price competition

We use a laboratory experiment to study advertising and pricing behavior in a market where consumers differ in price sensitivity. Equilibrium in this market entails variation in the number of firms advertising and price dispersion in advertised prices. We vary the cost to advertise as well as varying the number of competing firms. Theory predicts that advertising costs act as a facilitating device: higher costs increase firm profits at the expense of consumers. We find that higher advertising costs decrease demand for advertising and raise advertised prices, as predicted. Further, this comes at the expense of consumers. However, advertising strategies are more aggressive than theory predicts with the result that firm profits do not increase.     

Third-degree price discrimination in a short-stay accommodation industry

This article analyses the pricing in the short-stay accommodation industry in Tasmania. It utilizes a novel 2008 survey of Tasmanian short-stay accommodation firms in which business managers were asked about their perception of the elasticity of their firm’s demand in each of the market segments that their firm supplied. This direct observation of elasticity allows us to demonstrate that firms’ price across market segments act in a manner consistent with the Lerner index and the theory of third-degree price discrimination. Further we show, in line with expectations based on the literature, that increased quality of the accommodation lowers the elasticity of demand, while the elasticity of demand is higher in winter. Surprisingly, Internet sales channels do not exhibit a different elasticity of demand to other sales channels.     

Strategic delegation under quality competition

This paper examines strategic manipulations of incentive contracts in a model where firms compete in quality as well as in price. Compensation schemes for managers are based on a linear combination of profits and sales. For a given level of quality, a firm desires to reduce the manager's compensation when product sales increase; this serves as the firm's commitment to raise prices. Nevertheless, in general, a manager has a stronger incentive to produce goods of higher quality if he is compensated according to sales. Therefore, a compensation scheme that penalizes a manager when sales increase may result in products that are inferior to those of its rival. We show that, depending on the nature of quality, a positive weight on sales may be desirable when firms compete in quality and price. Welfare implications are also explored.     

Consumer confusion,obfuscation and price regulation

This paper studies firms’ obfuscation choices in a duopoly setting where two firms differ in their marginal costs of production. We show that the high‐cost firm chooses maximum obfuscation while the low‐cost firm chooses minimal (maximal) obfuscation if the cost advantage is large (small). We argue that in this setting there is a new role for price regulation as it leads to more transparent pricing. Moreover, a price cap benefits social welfare as it shifts production to the more efficient low‐cost firm.