This is the English revised edition of my Japanese monograph, A Frontier
of Mathematical Economics: the Theory of Regular Economies, Waseda
University Press, Tokyo, 2001. As recommended by Professor Tatsuro Ichiishi,
the editor of the series Mathematical Economics and Game Theory, I
thoroughly rewrote the original book. Revised portions are too numerous
to mention individually, and some new chapters (i.e. Introduction, chapters
6 and 12) have been supplemented. I believe that the book has improved
much through the revision process.