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Expectations and Stability in Oligopoly Models

✍ 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

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✦ 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.

✦ 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

✦ Subjects


Mathematics, general; Economics/Management Science, general


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