The mathematisation of economic theory is an issue that has been discussed many times. These discussions have been dominated by debate about the appropriateness of the deductive method for economics. This rather narrow focus has pushed a number of important methodological issues regarding the...

This is an introduction to a selection of papers on early contributions to quantitative business cycle theory. The papers, originally presented at a conference in Antwerp in September 2005, are written by Edmond Malinvaud, Olav Bjerkholt, Mauro Boianovsky and Hans-Michael Trautwein, Robert W....

Weintraub's study shows that mathematics does not provide a fixed point of reference for economics. He explains how the notions of rigor and consistency have changed within mathematics over the years, and how it has proved impossible to express mathematics itself as a complete formal system. As...

The claim in this paper is that Sraffa employed a rigorous logic of mathematical reasoning in his book, Production of Commodities by Means of Commodities (PCC), in such a way that the existence proofs were constructive. This is the kind of mathematics that was prevalent at the beginning of the...

This online text provides a graduate level discussion of real analysis using examples drawn from graduate level economic theory.

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles...

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles...

In this paper the issue of mathematical programming and optimization has being revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that...

This paper derives several simple matching algorithms for special cases of a continuous two sided matching model where agents have single peaked preferences and face no costs or restrictions to matching. These algorithms allow matches to be computed as an explicit function of the parameters of...

Abstract. This paper analyzes matching markets where agent types are n-vectors of characteristics--i.e. points in R^n --and agents prefer matches that are closer to them according to a distance metric on this set (horizontal preferences). First, given a few assumptions, I show that in the...