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Market Coverage and the Existence of Equilibrium in a Vertically Differentiated Duopoly

Market Coverage and the Existence of Equilibrium in a Vertically Differentiated Duopoly
Author:
Publisher:
Total Pages:
Release: 1998
Genre:
ISBN:

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The existence of a pure-strategy subgame perfect equilibrium in qualities and prices is investigated in a duopoly model of vertical differentiation where quality improvements require a quadratic variable cost. The alternative cases of partial and full market coverage are considered. It is shown that there exists a parameter range where the incentive to decrease differentiation arises for the high-quality firm, preventing firms to reach a pure-strategy duopoly equilibrium.


The Economics of Vertically Differentiated Markets

The Economics of Vertically Differentiated Markets
Author: Luca Lambertini
Publisher: Edward Elgar Publishing
Total Pages: 240
Release: 2006-01-01
Genre: Business & Economics
ISBN: 9781781958315

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'This is a high-quality book on an important and central topic in the theory of industrial organisation. It is a cohesive and extremely well written volume which is destined to become a standard work on the subject.' - Mark Casson, University of Reading, UK This original new book offers a comprehensive and engaging perspective on the theory of vertical differentiation. It enables the reader to grasp the key concepts and effects that product quality has both on firms' behaviour and market structure, and the ways in which this relationship has evolved. With contributions from prominent figures in the field, the book investigates a number of important topics, such as the choice of the optimal product range, profit sharing, the existence of equilibrium in duopoly games, positional effects attached to status goods, international trade, collusion, advertising and the dynamics of capital accumulation for quality improvement and product innovation. Using both static and dynamic approaches, these aspects are assessed in relation to the manifold issues of regulation, competition policy and trade policy. Product differentiation and its influence on consumer behaviour and the performance of firms is a core topic in the existing literature in the fields of industrial organization, international trade and economic growth. This book will be an essential read for researchers, students and professional scholars working in these areas, especially those with an interest in antitrust regulation.


Financial Structure and Market Equilibrium in a Vertically Differentiated Industry

Financial Structure and Market Equilibrium in a Vertically Differentiated Industry
Author: Jean Lefoll
Publisher:
Total Pages: 27
Release: 2004
Genre:
ISBN:

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This paper examines the effects of uncertainty and the choice of financial structure in a vertically differentiated duopoly. In the market model consumers are located along a continuum of taste parameters and prefer unanimously higher to lower qualities when quality prices are set at average variable cost. In such a model only two firms can survive with a positive market share. We introduce uncertainty in demand by varying the range of the consumer taste parameter and consider a simultaneous game of sequential choices of quality, financial structure and product price, with varying order of decision-making and revelation of information. We consider both restricted and free entry. It is shown that financial structure affects market equilibrium, which is also heavily dependent on the order of choice of structure and quality, as well as on whether uncertainty exists in the lower or the upper limit of the taste parameter. In all cases leverage increases the lower quality and in most cases it also increases the lower quality price. There are also welfare implications, with the use of leverage when it is optimal improving both total and consumer surplus.


Beyond the Uniform Distribution

Beyond the Uniform Distribution
Author: Corrado Benassi
Publisher:
Total Pages: 30
Release: 2015
Genre:
ISBN:

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The paper proves the existence of a subgame perfect Nash equilibrium in a vertically differentiated duopoly with uncovered market, for a large set of symmetric and asymmetric distributions of consumers, including, among others, all logconcave distributions. The proof relies on the 'income share elasticity' representation of the consumers' density function, which ensures the analytical tractability of the firms' optimality conditions at a high level of generality. Some illustrative examples of the solution are offered, in order to assess the impact of distributive shocks on the equilibrium market configuration.


Full Vs Partial Market Coverage with Minimum Quality Standards

Full Vs Partial Market Coverage with Minimum Quality Standards
Author:
Publisher:
Total Pages:
Release: 1997
Genre:
ISBN:

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The consequences of the adoption of quality standards on the extent of market coverage is investigated by modelling a game between regulator and low-quality firm in a vertically differentiated duopoly. The game has a unique equilibrium in the most part of the parameter range. There exists a non-negligible range where the game has no equilibrium in pure strategies. This result questions the feasibility of MQS regulation when firms endogenously determine market coverage.


Sequential Entry in a Vertically Differentiated Duopoly

Sequential Entry in a Vertically Differentiated Duopoly
Author:
Publisher:
Total Pages:
Release: 2003
Genre:
ISBN:

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We analyse a model of vertical differentiation focusing on the trade-off between entering early and exploiting monopoly power with a low quality, versus waiting and enjoying a dominant market position with a superior product. We show that there exists a unique equilibrium where the leader enters with a lower quality than the follower, for low discount factors, for high costs of quality and for low consumers willingness to pay for quality.


The Economic Theory of Product Differentiation

The Economic Theory of Product Differentiation
Author: John Beath
Publisher: Cambridge University Press
Total Pages: 220
Release: 1991-02-22
Genre: Business & Economics
ISBN: 9780521335522

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There are few industries in modern market economies that do not manufacture differentiated products. This book provides a systematic explanation and analysis of the widespread prevalence of this important category of products. The authors concentrate on models in which product selection is endogenous. In the first four chapters they consider models that try to predict the level of product differentiation that would emerge in situations of market equilibrium. These market equilibria with differentiated products are characterised and then compared with social welfare optima. Particular attention is paid to the distinction between horizontal and vertical differentiation as well as to the related issues of product quality and durability. This book brings together the most important theoretical contributions to these topics in a succinct and coherent manner. One of its major strengths is the way in which it carefully sets out the basic intuition behind the formal results. It will be useful to advanced undergraduate and graduate students taking courses in industrial economics and microeconomic theory.


Essays on Vertical Product Differentiation

Essays on Vertical Product Differentiation
Author: Yong-Hwan Noh
Publisher:
Total Pages: 218
Release: 2005
Genre:
ISBN:

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This dissertation explores models of heterogeneous product markets that rely on the "vertical product differentiation" formulation. The demand structure applied here is the covered-market configuration under the vertical product differentiation. With this specification, product market equilibria of the monopoly and duopoly market are derived. In particular, parameter restrictions on the degree of relative consumer heterogeneity associated with the covered-market setting are identified and used to interpret analytical results. Based on the specified demand structure, I revisit two industrial organization topics from the perspectives of vertical product differentiation. The first essay analyzes the entry of a new product into a vertically differentiated market where an entrant and an incumbent compete in prices. Many models on strategic entry deterrence deal with "limit quantities" as the established firm's strategic tool to deter or accommodate entry. Here, however, the entry-deterrence strategies of the incumbent firm rely on "limit qualities". With a sequential choice of quality, quality-dependent marginal production cost, and a fixed entry cost, I relate the entry-quality decision and the entry-deterrence strategies to the level of an entry cost and the degree of consumer heterogeneity. In particular, the incumbent influences the quality choice of the entrant by choosing its quality level before the entrant. This allows the incumbent to "limit" the entrant's entry decision and quality levels. Quality-dependent marginal production costs in the model entail the possibility of inferior-quality entry as well as the incumbent's aggressive entry-deterrence strategies by increasing its quality level towards potential entry. Welfare evaluation confirms that social welfare is not necessarily improved when entry is encouraged rather than deterred. The second essay is motivated by some specific economic questions that have arisen with the introduction of 'genetically modified' (GM) agricultural products. A duopoly market-entry model associated with the vertical product differentiation is developed to show how the existence of segregation costs biases the firm's quality choice behavior. Thus, the key factor of the model is the cost of segregation activities that are necessary to distinguish GM products from non-GM products. With an increasing and convex cost of quality, the model predicts that the entrant firm has an increased incentive to enter the market with a low-quality good to reduce production costs if segregation costs are sufficiently high. When consumers are homogeneous enough, however, entry may occur with the high-quality good.


Process and Product Innovation in a Vertically Differentiated Industry

Process and Product Innovation in a Vertically Differentiated Industry
Author: Emanuele Bacchiega
Publisher:
Total Pages: 18
Release: 2013
Genre:
ISBN:

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We examine a vertically differentiated duopoly where firms invest in process and product innovation and then compete in prices under full market coverage. We show that (i) process and product innovation are complements (substitutes) for the low-quality (high-quality) firm; (ii) the firm which is initially more efficient invests more than the rival in process innovation; (iii) if the initial differential between marginal costs is sufficiently high, the demand for the less efficient firm is nil and the duopoly equilibrium does not exist. Finally, we investigate the feasibility of Ramp;D cooperation for process innovation.