标准专利许可中可变价格的社会福利效应:基于产品差异化的视角

技术标准在产品生产过程中的使用越来越广泛,标准专利许可定价形式问题关系到技术标准所有者和产品生产者的收益,有待拓展研究。通过构建古诺竞争模型,从产品差异化角度对标准专利许可中可变价格形式的社会福利效应进行分析,得到的主要结论为:当产品市场达到均衡,且标准专利许可采用的价格形式是可变价格时,社会总福利随着产品差异化程度的提高而增加,随着差异化产品市场中标准专利使用者数量的增加而增加,随着可变价格中可变费用比率的提高而降低;均衡产量随着产品差异化程度的提高而增大,随着可变价格中可变费用比率的提高而降低;均衡价格与产品差异化程度呈现出倒“U”型关系,临界点为特定的市场规模;标准专利使用者的均衡利润随着产品差异化程度的提高而增大。由此可见,标准专利许可的可变费用比率下降有利于激励技术标准使用者生产更多的差异化产品,提升社会总福利。     

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.     

Cartel sustainability with vertical product differentiation: Price versus quantity competition

In the context of a vertically differentiated duopoly, we analyse the influence of the degree of differentiation on cartel sustainability, under both price and quantity competition. We find that, under both Bertrand and Cournot competition, the effect of vertical product differentiation on sustainability of the collusive equilibrium is unclear. It is shown that, given a degree of differentiation, price collusion is more sustainable than quantity collusion.     

Location choices and third‐degree spatial price discrimination

This paper studies how firms choose their product differentiation levels when they engage in third‐degree price discrimination in the following product market competition in a location‐price model. We show that firms will not choose to locate at the two endpoints if different consumer groups have similar sizes. Hence, the principle of maximum differentiation does not hold, resulting in a more intense product market price competition. Only if the size of one group of consumers is sufficiently larger than that of the other group, would firms make their products as differentiated as possible by choosing the two endpoints as their locations.     

Comparing Horizontal Mergers Under Cournot with Bertrand Competitions

Taking the product substitutability into account, this paper considers the horizontal mergers under Cournot with Bertrand competition. Firstly, the big market size indicates non‐intention to merge. Secondly, independent goods indicate indifferences between the quantity competition and price competition. Finally, firms under quantity competition are more willing to merge than under price competition. The antitrust authority is more inclined to approve the merger under quantity competition than that under price competition.     

Can product differentiation mitigate conflicts of interest between principal stakeholders? A cournot-bertrand comparison

This paper aims to investigate the impact of product differentiation on the extent of conflict of interest between principal stakeholders (shareholders, employees, and consumers), which is one of the most important concerns of stakeholder-oriented corporate governance. We consider a differentiated duopoly competing either in price or quantity after the wages of employees are negotiated with a labor union. We find that price competition and quantity competition have drastically different implications on whether product differentiation mitigates stakeholders' conflicts. Specifically, product differentiation can mitigate stakeholders' conflicts when firms compete in price, but not when they compete in quantity. Therefore, the product differentiation effect in mitigating stakeholders' conflicts differs across markets characterized by price competition versus quantity competition.     

Price competition in markets with customer testing: the captive customer effect

We introduce product differentiation into the analysis of price competition in markets where suppliers test customers in order to assess whether they will pay for received goods or services. We find that, if the degree of differentiation is sufficiently high, suppliers may improve the average probability that their clientele will pay by charging higher prices. This helps suppliers to sustain high prices in equilibrium. Moreover, endogenizing locations in product space, we demonstrate that the high price level can be implemented in a pure-strategy subgame-perfect equilibrium with a high degree of differentiation. This is in contrast to the original Hotelling model with linear travel costs where a pure-strategy subgame-perfect equilibrium fails to exist.     

企业差异化战略对价格和质量竞争博弈均衡解的影响研究

消费者在购买商品时不仅考虑商品价格而且还要考虑商品质量水平的需求市场,如果存在两寡头企业提供某商品,必然会导致价格和质量的竞争博弈。本文研究表明:为了达到纳什均衡状态,两企业必须采取一定的差异化策略。而且在均衡状态下,如果市场是价格敏感市场,企业的差异化程度越高,对企业和消费者都越有利;如果市场是质量敏感市场,当敏感程度相对很低时,企业的差异化程度越高,对企业和消费者也都越有利;当敏感程度一般时企业可选择适当的差异化程度使得企业和消费者同时达到最大的均衡利润;但当敏感度非常高,企业差异化程度越高对企业的均衡利润越大,可对消费者的均衡利润却越小。     

Horizontal Mergers and Merger Waves in a Location Model

We consider sequential mergers in a spatial model with Cournot competition. This model is suitable for explaining the behaviour of some industries where several brands of the same product are delivered by plants. The automobile and oil product industries are examples. To discuss sequential mergers, we use the method of Nilssen and Sørgard (1998). We show that if the transportation cost per length is large relative to market size, a merger wave occurs. In addition, it might improve social surplus. On the other hand, if the transportation cost per length is relatively small, a merger wave does not occur even though firms would be better off with sequential mergers.
We also compare our model to that of Levy and Reitzes (1992) who consider horizontal mergers with spatial price competition. We show that in a merger of neighbouring firms the merged firm's profit decreases. This result is opposite to that of Levy and Reitzes (1992).
Finally, we consider how a regulator affects sequential mergers. When each merger occurs, the regulator assesses each merger. In this case, there is a possibility that the existence of the regulator deters welfare-improving sequential mergers.     

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.     

NON‐RIGID WAGES AND MERGER PROFITABILITY REVERSAL UNDER CONVEX COSTS AND CENTRALIZED UNIONIZATION

Can a merger from duopoly to monopoly be detrimental for profits? This paper deals with this issue by focusing on the interaction between decreasing returns to labour (which imply firms’ convex costs) and centralized unionization. First, it is highlighted that a wage ‘non‐rigidity’ result applies: the post‐merger wage is higher than in the pre‐merger equilibrium. Second, it is shown that a ‘reversal result’ in relation to merger profitability actually realizes when the union is sufficiently oriented towards wages. Moreover, the higher the reservation wage, the degree of product differentiation, and the union's relative bargaining power, the higher the probability that a merger reduces profits.     

The complexion of dynamic duopoly game with horizontal differentiated products

In this paper, firms are considered on the hypothesis of having incomplete rationality expectation and incomplete information of the market to get the dynamic development of price competition behavior in the Hotelling model (Hotelling, 1929). Under the assumption of the heterogeneous expectations of two firms, we have observed that the Nash equilibrium price can be a dynamic equilibrium to realize when the speed of price adjustment is lower. However, the numerical simulation shows that the system may present a periodic and chaotic status when the speed of price adjustment is higher. The effect of the degree of horizontal differentiation on the stability of Nash equilibrium of the system is also discussed. We have a different conclusion from Lucino Fanti and Luca Gori's (2012); that is the greater the degree of product horizontal differentiation is, the more stable the Nash equilibrium of the system is.     

COURNOT AND BERTRAND EQUILIBRIA COMPARED: A CRITICAL REVIEW AND AN EXTENSION FROM THE OUTPUT‐STRUCTURE VIEWPOINT*

This paper compares Bertrand competition with Cournot competition. In previous studies, the welfare ranking has not been examined in any general setting. One purpose of this work is to fill this gap. In the Zanchettin model, the ranking regarding the less efficient firm's output is sensitive to the degree of asymmetry between firms, whereas the welfare ranking is not. Another goal of this study aims at dealing with this paradox. We demonstrate that the rankings regarding average price, average output and the Herfindahl index are not sensitive to the degree of asymmetry, and hence can explain the welfare ranking.     

Insider trading with product differentiation

This paper investigates the effect of product differentiation on the real and financial decisions of a publicly-owned firm, competing $\grave{a}$ la Cournot with another privately-owned firm. The results show that the degree of product differentiation affects the stock price coefficients (i.e. the market maker’s response to the real signal and to the total order flow signal) and the output of the publicly-owned firm. It also appears to have a detrimental effect on the manager’s profits and compensation scheme. The paper then proposes an extension of the benchmark model to incorporate Cournot and Stackelberg competition between two insiders in the financial market. The type of the financial competition adopted has also an effect on the results of the benchmark model that sometimes depend on the degree of product differentiation.     

Competition and Privatisation Policies in a Differentiated Mixed Oligopoly: The Pay‐off‐interdependence Approach

I revisit the relationship between competition and privatisation policies in a mixed oligopoly with differentiated goods, following the pay‐off‐interdependence approach in the fashion of Matsumura and Okamura. We find that although the intensity of market competition increases with the degree of importance of each firm's relative performance, the optimal degree of privatisation can decrease in a differentiated goods mixed oligopoly in both the increasing marginal costs case and the constant marginal costs case. Further, given the degree of importance of each firm's relative performance and the number of private firms, we find that the optimal degree of privatisation can decrease as the degree of product differentiation declines. Finally, by considering an alternative‐pay‐off model in both cases, we compare the optimal degree of privatisation of the public firm.     

Downstream mode of competition with upstream market power

In a two-tier oligopoly, where the downstream firms are locked in pair-wise exclusive relationships with their upstream input suppliers, the equilibrium mode of competition in the downstream market is endogenously determined as a renegotiation-proof contract signed between each downstream firm and its exclusive upstream input supplier. We find that the upstream–downstream exclusive relationships credibly sustain the Cournot (Bertrand) mode of competition in the downstream market, when the goods are substitutes (complements). In contrast to previous studies, this result holds irrespectively of the degree of product differentiation and the distribution of bargaining power between the upstream and the downstream firm, over the pair-specific input price.     

An Index Approach to Measuring Product Differentiation: A Hedonic Analysis of Airfares

The main objective of this paper is to introduce an Allen-type index of differentiation based on cost functions. With this index, we create an economic measure of product differentiation that quantifies differences between products. Applied research has some generally accepted economic measures, for example, the Herfindahl–Hirschman Index for market concentration, or the Gini coefficient for inequality. Product differentiation, however, does not yet have an established measure. Our objective is to fill that gap and introduce a measure that can be used in market-related applied research such as market power, antitrust, price indexes, or market strategy. To operationalize the index, we introduce the concept of a core product and use cost functions to measure the degree of differentiation from the core product. To demonstrate the use of the index, we study the effect of product differentiation on price formation in the airline industry using an enhanced hedonic model. The model is empirically tested on 103,980 observations of quarterly US domestic airfare data between 2002 and 2016 and shows that product differentiation has a significant effect on both price and mark-up.     

VERTICAL DIFFERENTIATION AND THE DISTRIBUTION OF INCOME

The paper analyses the effects of income concentration on the behaviour of a duopoly with vertical product differentiation and uncovered market. By using a trapezoid distribution, we solve explicitly for market equilibrium as a function of a mean preserving spread of the income distribution. We show that overall more concentrated incomes imply stronger product differentiation, as the presence of a large share of middle‐income consumers stimulates a price competition, whose effects are dampened through an enlargement of the quality spread. While the high‐quality advantage and market coverage increase unambiguously in the degree of income concentration, the behaviour of prices is non‐monotone in the distribution parameter.     

信息不对称条件下企业跨国并购的动因探析

信息不对称是促使企业跨国并购的重要原因。跨国Cournot垄断竞争模型考虑产出协调和信息分享两方面。非对称信息下并购发生的可能性超过对称信息情形,外国企业总倾向于与一国内企业分享信息,并购的发生取决于需求波动程度及产品异质性程度。     

Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly

This paper considers a differentiated goods managerial mixed duopoly composed of one social welfare‐maximising public firm and one profit‐maximising private firm. We model the firm choice of the strategic contract. We find that when the strength of network effects is sufficiently strong, the price competition can become the unique equilibrium market structure. Furthermore, we show that there exists an area of the degree of product differentiation and the strength of network effects such that the situation wherein the public firm chooses its price contract whereas the private firm chooses its quantity contract can become the unique equilibrium structure.