TY - BOOK AU - Okuguchi,Koji AU - Szidarovszky,Ferenc ED - SpringerLink (Online service) TI - The Theory of Oligopoly with Multi-Product Firms T2 - Lecture Notes in Economics and Mathematical Systems, SN - 9783662026229 AV - HB1-846.8 U1 - 330.1 PY - 1990/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Economic theory KW - Economic Theory/Quantitative Economics/Mathematical Methods N1 - 1. Introduction -- 2. Oligopoly Games and Their Extensions -- 3. Existence and Uniqueness Results -- 4. Dynamic Oligopoly with Discrete Time Scale -- 5. Dynamic Oligopoly with Continuous Time Scale -- 6. Extensions and Generalizations -- References N2 - 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 UR - https://s443-doi-org.br.lsproxy.net/10.1007/978-3-662-02622-9 ER -