SFB 303 Discussion Paper No. A - 310

Author: Anderson, Robert M.
Title: Nonstandard Analysis with Applications to Economics
Abstract: In this paper, we present an introduction to nonstandard analysis and survey its applications in mathematical economics. Nonstandard analysis is a mathematical technique which has been widely used in diverse areas in pure and applied mathematics, including probability theory, mathematical physics, and functional analysis. Our primary goal is to provide a careful development of nonstandard methodology in sufficient detail to allow the reader to use it in diverse areas in mathematical economics. This requires a careful study of the nonstandard treatment of real analysis, measure theory, topological spaces, and so on. In order to accommodate this extended treatment of methodology, the survey of work to date using nonstandard methods in mathematical economics will be relatively brief; however, an extensive set of references will be provided. This paper is a condensation of Anderson (1990); further details may be found there.
Creation-Date: June 1990
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