The Theory of Oligopoly With Multi-Product Firms

by Okuguchi, Koji; Szidarovszky, Ferenc

• ISBN13: 9783540657798
• ISBN10: 3540657797
• Edition: 2nd
• Format: Hardcover
• Copyright: 1999-06-01
• Publisher: Springer Verlag

Summary

Provides a comprehensive survey and complete mathematical development of the theory of multi- product oligopolies.

Table of Contents

Preface	v
Introduction	1	(2)
Oligopoly Games and Their Extensions	3	(18)
The Cournot Model	3	(4)
Models with Product Differentiation	7	(1)
Multiproduct Models	8	(2)
Group Equilibirium Problems	10	(2)
Rent Seeking Models	12	(2)
Labor-Managed Oligopoly	14	(1)
Oligopsony	14	(1)
Two-Stage and Multi-Stage Oligopolies	15	(2)
A Hierarchical Model	17	(1)
Supplementary Notes and Discussions	18	(3)
Existence and Uniqueness Results	21	(42)
Existence Results for Multiproduct Oligopoly	21	(5)
Relation of Equilibrium Problems to Fixed Point and Nonlinear Complementarity Problems	26	(7)
Uniqueness and Properties of Equilibria in the Classical Game	33	(6)
Linear Oligopoly Models	39	(4)
Numerical Methods for Finding Cournot-Nash Equilibria	43	(4)
Existence of Equilibrium in Rent Seeking Games	47	(4)
Existence of Equilibrium in Labor-Managed Oligopolies	51	(4)
Existence of Equilibrium in Oligopsony	55	(5)
Supplementary Notes and Discussions	60	(3)
Dynamic Oligopoly with Discrete Time Scale	63	(82)
Cournot Expectations	64	(9)
Adaptive Expectations	73	(17)
Sequential Adjustment Processes	90	(7)
Extrapolative Expectations	97	(6)
Oligopoly with Market Saturation	103	(11)
Quasioptimal Output Selections	114	(7)
Production Adjustment Costs	121	(6)
Dynamic Rent Seeking Oligopolies	127	(6)
Dynamic Labor-Managed Oligopolies	133	(4)
Dynamic Oligopsonies	137	(5)
Supplementary Notes and Discussions	142	(3)
Dynamic Oligopoly with Continuous Time Scale	145	(34)
Classical Results	146	(5)
Adaptive Expectations	151	(12)
Extrapolative Expectations	163	(3)
Oligopoly with Market Saturation	166	(3)
Production Adjustment Costs	169	(1)
Dynamic Rent Seeking Oligopolies	170	(2)
Dynamic Labor-Managed Oligopolies	172	(2)
Dynamic Oligopsonies	174	(2)
Supplementary Notes and Discussions	176	(3)
Extensions and Generalizations	179	(52)
Quadratic Games Under Discrete Time Scale	179	(14)
Quadratic Games Under Continuous Time Scale	193	(3)
Nonlinear Oligopolies Under Discrete Time Scale	196	(14)
Nonlinear Oligopolies Under Continuous Time Scale	210	(19)
Supplementary Notes and Discussions	229	(2)
Applications	231	(24)
Network Oligopolies	231	(3)
Taxation	234	(6)
Water Resources Applications	240	(2)
An Oligopoly Model of Commercial Fishing	242	(8)
Controllability in Oligopolies	250	(4)
Supplementary Notes and Discussions	254	(1)
References	255	(10)
Index	265