Expectations and Stability in Oligopoly Models

Expectations and Stability in Oligopoly Models PDF Author: K. Okuguchi
Publisher: Springer Science & Business Media
ISBN: 3642463479
Category : Mathematics
Languages : en
Pages : 111

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Book Description
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 differ 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 expecta 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 view 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-competitive ness of the equilibrium.

Expectations and Stability in Oligopoly Models

Expectations and Stability in Oligopoly Models PDF Author: K. Okuguchi
Publisher: Springer Science & Business Media
ISBN: 3642463479
Category : Mathematics
Languages : en
Pages : 111

Get Book Here

Book Description
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 differ 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 expecta 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 view 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-competitive ness of the equilibrium.

Nonlinear Oligopolies

Nonlinear Oligopolies PDF Author: Gian Italo Bischi
Publisher: Springer Science & Business Media
ISBN: 3642021069
Category : Business & Economics
Languages : en
Pages : 340

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Book Description
This book presents the latest trends, methods and results in nonlinear dynamics with a special focus on oligopolies. It contains a number of technical appendices that summarize techniques of global dynamics not easily accessible elsewhere.

The Theory of Oligopoly with Multi-Product Firms

The Theory of Oligopoly with Multi-Product Firms PDF Author: Koji Okuguchi
Publisher: Springer Science & Business Media
ISBN: 3662026228
Category : Business & Economics
Languages : en
Pages : 177

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Book Description
In this book a rigorous, systematic, mathematical analysis is presented for oligopoly with multi-product firms in static as well as dynamic frameworks in the light of recent developments in theories of games, oligopoly and industrial organization. The general results derived in this book on oligopoly with multi-product firms contain, as special cases, all previous results on oligopoly with single product as well as oligopoly with product differentiation and single product firms. A constructive nu- merical method is given for finding the Cournot-Nash equilibrium, which may be extremely valuable to those who are interested in numerical analysis of the effects of various industrial policies. A sequential adjustment process is also formulated for finding the equilibrium. Dynamic adjustment processes have two versions, one with a discrete time scale and the other with a continuous time scale. The stability of the equilibrium is thoroughly investigated utilizing powerful mathematical results from the stability and linear algebra literature. The methodology developed for analyzing stability proves to be useful for dynamic analysis of economic models.

Handbook of Game Theory and Industrial Organization, Volume I

Handbook of Game Theory and Industrial Organization, Volume I PDF Author: Luis C. Corchón
Publisher: Edward Elgar Publishing
ISBN: 178536328X
Category : Business & Economics
Languages : en
Pages : 567

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Book Description
The first volume of this wide-ranging Handbook contains original contributions by world-class specialists. It provides up-to-date surveys of the main game-theoretic tools commonly used to model industrial organization topics. The Handbook covers numerous subjects in detail including, among others, the tools of lattice programming, supermodular and aggregative games, monopolistic competition, horizontal and vertically differentiated good models, dynamic and Stackelberg games, entry games, evolutionary games with adaptive players, asymmetric information, moral hazard, learning and information sharing models.

Introduction to Matrix Theory

Introduction to Matrix Theory PDF Author: Ferenc Szidarovszky
Publisher: World Scientific
ISBN: 9789810245139
Category : Business & Economics
Languages : en
Pages : 516

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Book Description
In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.

Catalog of Copyright Entries. Third Series

Catalog of Copyright Entries. Third Series PDF Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1696

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Book Description


Finite-Dimensional Variational Inequalities and Complementarity Problems

Finite-Dimensional Variational Inequalities and Complementarity Problems PDF Author: Francisco Facchinei
Publisher: Springer Science & Business Media
ISBN: 0387218149
Category : Mathematics
Languages : en
Pages : 724

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Book Description
This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.

Oligopoly Theory

Oligopoly Theory PDF Author: James Friedman
Publisher: CUP Archive
ISBN: 9780521282444
Category : Business & Economics
Languages : en
Pages : 262

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Book Description
James Friedman provides a thorough survey of oligopoly theory using numerical examples and careful verbal explanations to make the ideas clear and accessible. While the earlier ideas of Cournot, Hotelling, and Chamberlin are presented, the larger part of the book is devoted to the modern work on oligopoly that has resulted from the application of dynamic techniques and game theory to this area of economics. The book begins with static oligopoly theory. Cournot's model and its more recent elaborations are covered in the first substantive chapter. Then the Chamberlinian analysis of product differentiation, spatial competition, and characteristics space is set out. The subsequent chapters on modern work deal with reaction functions, advertising, oligopoly with capital, entry, and oligopoly using noncooperative game theory. A large bibliography is provided.

Oligopoly Dynamics

Oligopoly Dynamics PDF Author: Irina Sushko
Publisher: Springer Science & Business Media
ISBN: 3540247920
Category : Business & Economics
Languages : en
Pages : 314

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Book Description
These proceedings are from a conference held at the Centre for Regional Science (CERUM) at Umea Umeâ University, Sweden, 17-18 June 2001. Unlike Un1ike many conference proceedings, this volume contains only on1y invited invited contribu contribu tions tions on specified topics so as to make the book coherent and self-contained. The authors and editors hope that this coherence will make the volume use fu1 fuI also as a text for courses in industrial organisation. To this end two chap ters on the history of oligopoly theory, from the beginnings with Cournot 1838, to the present day, and one chapter on modem methods for analysing iterated discrete time maps, have been inserted at the beginning ofthe book. Unlike Un1ike most current literature on games and oligopoly, this book is not focused on the usual topics of game theory: optimal strategies, dominance, and equilibrium. Rather it is the evolutionary dynamics, often of a complex type, inc1uding deterministic chaos, which are in focus. The contributions, after the historical and the methodological introductions, represent various segments of the research frontier in this area, though pains have been taken to tie some of the models to a number of most promising contributions from the frugal period 1929-1941, which have suffered from unjust neglect in the following industrial organisation literature.

Equilibrium Theory for Cournot Oligopolies and Related Games

Equilibrium Theory for Cournot Oligopolies and Related Games PDF Author: Pierre von Mouche
Publisher: Springer
ISBN: 3319292544
Category : Business & Economics
Languages : en
Pages : 298

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Book Description
This state-of-the-art collection of papers on the theory of Cournotian competition focuses on two main subjects: oligopolistic Cournot competition and contests. The contributors present various applications of the Cournotian Equilibrium Theory, addressing topics such as equilibrium existence and uniqueness, equilibrium structure, dynamic processes, coalitional behavior and welfare. Special emphasis is placed on the aggregative nature of the games that are relevant to such theory. This contributed volume was written to celebrate the 80th birthday of Prof. Koji Okuguchi, a pioneer in oligopoly theory.