In the mid 1960's both authors undertook independent works in
oligopoly.and game theory. However, it was not until 1983 that they
formally met. Since then, they have continued meeting either in Budapest
or Tokyo. Their collaboration has resulted in numerous publications as
well as in this work. Essentially, this book has two origins. First, it
originated in previous results, either published or circulated in
mimeograph form. Finely sifting their results, the authors constructed a
concise reinterpretation of their achievement to date. However, this
unifying process led to the second origin. Reconsideration, particularly
in this comprehensive approach, generated new results. This was
especially true in the analysis of the existence, uniqueness and global
stability of the Cournot-Nash equilibrium for oligopoly with
multi-product flrms, and for several modilled Cournot and related
models. This book should be ideal for graduate students in economics or
mathematics. However, as the authors have firmly grounded their ideas in
the formal language of mathematics, the student should possess some
background in calculus, linear algebra, and ordinary differential and
difference equations. Additionally, the book should be useful to
researchers in oligopoly and game theory as well as to mathematically
oriented economists. The methodology developed for analyzing the
existence and stability of oligopoly equilibrium should prove useful
also in theoretical analysis of other economic models. Weare both very
grateful to Professor Wilhelm Krelle for his careful review and helpful
suggestions. In addition, Koji Okuguchi wishes to thank Professors W.
