Commitment to a strategy of uniform pricing in a two-period duopoly with switching costs

This paper studies decisions by firms of whether to attempt “behavior-based” price discrimination in markets with switching costs by using a two-period duopoly model. When both firms commit themselves to a pricing policy and consumers are “sophisticated” and have rational expectations, there is a dominant strategy equilibrium with both firms engaging in uniform pricing. Both firms are better off in the uniform pricing equilibrium, compared with the discriminatory equilibrium.      

Natural monopoly and differential pricing

Under uniform pricing a monopolist cannot make a positive profit in equilibrium. I analyze how differential pricing can be exploited by a natural monopolist to deter entry when entry is costless. In a two-stage game with price competition before quantity competition I show that the incumbent firm can deter entry and make a positive profit in equilibrium. The incumbent sets two different prices, the low price to deter entry and the high price to generate profit. Entry is not possible because of scale effects. If dumping is allowed for all firms no positive profits are realizable, but welfare is reduced. I show that for some parameter values the incumbent is forced to engage in a stunt (i.e., set a negative low price) to keep entrants out.     

DOES BEHAVIOUR‐BASED PRICE DISCRIMINATION FOSTER FIRMS’ DIFFERENTIATION?

We study the impact of behaviour‐based price discrimination on the incentive of the firms to differentiate their products. We consider both ‘standard’ and ‘extreme’ behaviour‐based price discrimination: the latter always reduces the incentive to differentiate with respect to uniform pricing, while the former fosters differentiation if the consumers are sufficiently forward‐looking and/or the firms are sufficiently myopic.     

Information transmission and incentives not to price discriminate

This paper analyzes how the pricing policy of an incumbent may signal information not only on the demand level but also on the demand composition. A signalling game with two periods and two players (an established firm and a potential entrant) is considered. The potential entrant has incomplete information on market demand. There exist many sequential equilibria in which the uniform price policy acts as an entry deterrence device by hiding actual market profitability. We can interpret the uniform pricing policy as a rejection of the use of superior information on market demand composition in order to reduce the entrant's expected profits.     

The multiple unit auction with variable supply

Summary. The theory of multiple unit auctions traditionally assumes that the offered quantity is fixed. I argue that this assumption is not appropriate for many applications because the seller may be able and willing to adjust the supply as a function of the bidding. In this paper I address this shortcoming by analyzing a multi-unit auction game between a monopolistic seller who can produce arbitrary quantities at constant unit cost, and oligopolistic bidders. I establish the existence of a subgame-perfect equilibrium for price discriminating and for uniform price auctions. I also show that bidders have an incentive to misreport their true demand in both auction formats, but they do that in different ways and for different reasons. Furthermore, both auction formats are inefficient, but there is no unambiguous ordering among them. Finally, the more competitive the bidders are, the more likely the seller is to prefer uniform pricing over price discrimination, yet increased competition among bidders may or may not enhance efficiency. Received: June 18, 1998; revised version: January 13, 1999     

高技术产业中排他性合约研究——以英特尔和AMD为例

构建上游双寡头和下游多家厂商的排他性交易模型。以上游优势厂商控制的下游厂商数量为决策变量,分析了在位上游优势厂商通过控制下游厂商,导致中间产品的价格歧视,剥削下游厂商,排挤竞争对手,提高最终产品价格和不利于产业良性竞争等负面影响。     

Pricing Access to a Monopoly Input

What price should downstream entrants pay a vertically integrated incumbent monopoly for use of its assets? Courts, legislators, and regulators have at times mandated that incumbent monopolies lease assets required for the production of a retail service to entrants in efforts to increase the competitiveness of retail markets. This paper compares two rules for pricing such monopoly inputs: marginal cost pricing (MCP) and generalized efficient component pricing rule (GECPR). The GECPR is not a fixed price, but is a rule that determines the input price to be paid by the entrant from the entrant's retail price. Comparing the retail market equilibrium under MCP and GECPR, the GECPR leads to lower equilibrium retail prices. If the incumbent is less efficient than the entrant, the GECPR also leads to lower production costs than does the MCP rule. If the incumbent is more efficient than the entrant, however, conditions may exist in which MCP leads to lower production costs than does the GECPR. The analysis is carried out assuming either Bertrand competition, quantity competition, or monopolistic competition between the incumbent and entrant in the downstream market.     

Price discrimination via information provision

We study price discrimination where different prices are offered as a bundle with different levels of information about a product. The seller’s price discrimination induces high valuation buyers to purchase a good without information and low valuation buyers to purchase with information. Our analysis highlights several interesting results about price discrimination: (i) the seller’s choice of information provision is the combination of full information and no information, (ii) products can be cheaper without information provision than with information provision, (iii) as a result of price discrimination, prices can be more dispersed as buyers’ valuations become largely similar, and (iv) the high valuation buyers purchase a damaged good and may earn negative surplus. Furthermore, we investigate under which circumstances price discrimination is more profitable than uniform pricing. We show that a decline in transportation costs which facilitate price discrimination can be welfare reducing.     

转移成本、价格歧视和非对称寡头竞争

通过在Hotelling空间差异模型的基础上结合转移成本构建非对称企业竞争博弈模型.主要研究在非对称情况下,两企业在一致定价与价格歧视下竞争的均衡结果.还对两种不同定价体制下的均衡结果进行了比较,分析价格歧视是否强化竞争.研究发现价格歧视对竞争的效应是不确定的,很大程度受到两企业不对称程度的影响.     

Asymmetric access price regulation in telecommunications markets

In liberalized telecommunications markets, the incumbent typically enjoys several advantages over any entrant. Regulation in such asymmetric markets stimulates competition in the short and the long term if retail prices are low and the entrant's profits are high so that entry is encouraged. I show that asymmetric access price regulation with a cost-based access price for the incumbent and an access markup for the entrant is more successful than cost-based access price regulation applied to incumbent and entrant. This is a robust prediction with respect to the pricing strategies considered. Such asymmetric access price regulation is in accordance with European legislation.     

Peak-load pricing in duopoly

In this paper, we consider peak-load pricing by duopolists that maximize profit (not social welfare). We compare price levels and profits across peak-load versus uniform pricing regimes. Our main result is that the introduction of peak-load pricing can plausibly reduce prices by making price competition more severe and thereby reducing profits. This result suggests that competing firms may engage in collusion by not committing to peak-load pricing. Therefore, from the regulator's perspective, it will be desirable to encourage firms to engage in peak-load pricing to intensify competition.     

Complementarity of willingness to pay and cost heterogeneity under vertical product differentiation: A welfare analysis

Due to the fact that a consumer’s willingness to pay differs between segments, many unregulated industries are price constrained, although the specific costs of market segments also differ. If the product quality is endogenously chosen, we find that third-degree price discrimination increases welfare if a sufficiently pronounced complementarity between the willingness to pay and variable cost heterogeneity is given. This is due to the fact that the monopolist’s incentive for employing a pronounced price dispersion strategy is directly influenced by the consumers’ willingness to pay for the quality of a product. With endogenous product quality, the paper shows that the standard welfare result of third-degree price discrimination compared to uniform monopoly pricing (e.g. that total welfare and consumer surplus both fall if total output does not rise) can be only reversed given the complementarity is sufficiently pronounced.     

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.     

Tacit Collusion and Non–uniform Prices

This article examines the possibility of building a tacit agreement between price–setters that yields non–uniform pricing. It is shown that firms with market power may restrict competition not only by alternating between periods of high prices and low prices (Green and Porter (1984), Rotemberg and Saloner (1986)), but also by always charging different prices and taking turns in being the monopolist. In contrast with the existing literature, price variability is not due to imperfect monitoring, stochastic demand or short–run pricing rigidity but it is a pure supply side effect. The author provides the necessary conditions to have collusion with non–uniform pricing, and shows that the latter dominates a fixed price solution. In terms of competition policy this result confirms that no price parallelism is not, per se , a signal of no collusion.     

Foreign direct investment,input prices,and host country welfare

This paper analyzes a multinational firm’s foreign direct investment decision, through either greenfield investment or cross‐border merger and acquisition, into a host country with an input monopoly that adopts either uniform pricing or discriminatory pricing. The optimal foreign entry mode could differ under each pricing policy. Under Cournot competition, firms’ technological gap and the initial local market structure are critical to the choice of foreign entry mode, whereas product substitutability is important under Bertrand competition. In the presence of foreign entry, this paper also examines the welfare effects of input price discrimination for the host country.     

DYNAMIC PRICE COMPETITION WITH CAPACITY CONSTRAINTS AND A STRATEGIC BUYER

We analyze a simple dynamic durable good model. Two incumbent sellers and potential entrants choose their capacities at the start of the game. We solve for equilibrium capacity choices and the (necessarily mixed) pricing strategies. In equilibrium, the buyer splits the order with positive probability to preserve competition, making it possible that a high and low price seller both have sales. Sellers command a rent above the value of unmet demand by the other seller. A buyer benefits from either a commitment not to make future purchases or by hiring an agent to always buy from the lowest priced seller.     

GRADUAL NETWORK EXPANSION AND UNIVERSAL SERVICE OBLIGATIONS

ABSTRACT 1 : Universal service obligations are usually not competitively neutral as they modify the way firms compete in the market. In this paper, we consider a continuum of local markets in a dynamic setting with a stochastically growing demand. The incumbent must serve all markets (ubiquity) possibly at a uniform price and an entrant decides on its market coverage before firms compete in prices. Connecting a market involves a sunk cost. We show that the imposition of a uniform price constraint modifies the timing of entry: for low connection cost markets, entry occurs earlier while for high connection cost markets, entry occurs later.     

双边市场、不完全信息与二级价格歧视

本文研究了双边市场二级价格歧视问题。本文构建了包括广告商、消费者、垄断平台在内的两阶段博弈模型，研究了在最优与次优情况下平台的定价机制，分析了二级价格歧视对平台利润、社会福利等的影响。研究表明：（1）“顶部无扭曲”或“底部无扭曲”并不严格成立；（2）平台对观众提供的节目质量、广告插播量均可能出现类型逆转的情况；（3）二级价格歧视会增加社会总福利；（4）“会员制”是平台可能的占优定价机制之一。     

Price discrimination and economics journals

An analysis of pricing by economics journal publishers shows that most publishers initially charge libraries and individual subscribers the same price. Over time, however, almost all eventually engage in price discrimination. The few publishers that never price-discriminate seem to be purchasing an explicit non-profit-maximizing pricing strategy. Once discrimination occurs, library prices rise faster than individual subscriber prices. These results are consistent with theoretical predictions.     

UNIVERSAL ACCESS,PARALLEL TRADE AND INCENTIVES TO INNOVATE

Governments often subsidize poorer groups in society to ensure their access to new drugs. We analyse the optimal income‐based price subsidies in a strategic environment. We show that universal access is less likely to arise when price arbitrage prevents international price discrimination. When this is not the case, under some income ranges, bilateral universal coverage can be supported by equilibrium subsidies together with bilateral partial provision. In such a case, international health policy coordination becomes relevant. We also show that asymmetric universal access to medicines across countries can arise, even when countries are ex ante symmetric, when international price discrimination is possible and governments cannot design subsidies proportional to either income or quality.