The purpose of the following appendixes is to prove the theorems that were stated in the text. Appendix A reviews the mathematical notions and results that are required. Appendixes B, C, D, and E are devoted to the proofs of the propositions of Chapters 1, 2, 3, and 4, respectively.

Although the exposition is intended to be self-contained, a fair knowledge of real analysis, as exemplified by Bartle (1964, Sections 1-8, 11, 15, and 16), is required from the reader. Some familiarity with conventional general equilibrium theory, as provided by a graduate course in mathematical economics, is not necessary but is nevertheless recommended.