<p><P>The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria.
Expectations and Stability in Oligopoly Models
β Scribed by Koji Okuguchi (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1976
- Tongue
- English
- Leaves
- 110
- Series
- Lecture Notes in Economics and Mathematical Systems 138
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Ever since A.C.Cournot(1838), economists have been increasingly interested in oligopoly, a state of industry where firms producing homogeneous goods or close substitutes are limited in number. The fewness of firms in oligopoly gives rise to interdependence which they have to take into account in choosing their optimal output or pricing policies in each production period. Since each firm's profit is a function of all firms' outputs in an oligopoly without product differΒ entiation, each firm in choosing its optimal output in any period has to know beforehand all other rival firms' outputs in the same period. As this is in general impossible, it has to form some kind of expectaΒ tion on other firms' most likely outputs. Cournot thought that in each period each firm assumed that all its rivals' outputs would remain at the same level as in the preceding period. Needless to say, the Cournot assumption is too naive to be realistically supported. However, the Cournot profit maximizing oligopoly model characterized by this assumption has many important and attractive properties from the viewΒ point of economic theory and provides a frame of reference for more realistic theories of oligopoly. In Chapters 1-3, we shall be engaged in analyzing the Cournot oligopoly model in greater detail from the viewpoints of existence, stability, uniqueness and quasi-competitiveΒ ness of the equilibrium.
β¦ Table of Contents
Front Matter....Pages I-VI
Introduction....Pages 1-3
Existence and Stability of the Cournot Oligopoly Solution(or Equilibrium)....Pages 4-26
Uniqueness of the Cournot Oligopoly Solution....Pages 27-31
Entry in the Cournot Model: Quasi-Competitiveness vs Perfect Competition....Pages 32-38
Revenue Maximizing Duopoly....Pages 39-45
Stackelberg Duopoly Models Reconsidered....Pages 46-55
Extrapolative Expectations and Stability of Oligopoly Equilibrium....Pages 56-65
Adaptive Expectations and Stability of Oligopoly Equilibrium....Pages 66-81
Unknown Demand Function and Stability....Pages 82-88
Probability Models....Pages 89-98
Back Matter....Pages 99-106
β¦ Subjects
Mathematics, general; Economics/Management Science, general
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