Kumaraswamy Vela Velupillai74 presents a constructivist perspective on the foundations of mathematical economics, praising the views of Feynman in developing path integrals and Dirac in developing the delta function. He sees their approach as consistent with the Bishop constructive mathematics...

We study the market implications of ambiguity in common models. We show that generic determinacy is a robust feature in general equilibrium models that allow a distinction between ambiguity and risk.

The Shapley–Folkman theorem places a scalar upper bound on the distance between a sum of non-convex sets and its convex hull. We observe that some information is lost when a vector is converted to a scalar to generate this bound and propose a simple normalization of the underlying space which...

Although historians of economic thought emphasize J.-B. Say's contributions to utility theory, the structure of the subject matter of economics, entrepreneur theory and the construction of the "law of markets," they rarely appreciate what Say accomplished in the first edition of the Traité...

In this paper I attempt to show that mathematical economics is unreasonably ineffective. Unreasonable, because the mathematical assumptions are economically unwarranted; ineffective because the mathematical formalizations imply nonconstructive and uncomputable structures. A reasonable and...

Although historians of economic thought emphasize J.-B. Say's contributions to utility theory, the structure of the subject matter of economics, entrepreneur theory and the construction of the "law of markets," they rarely appreciate what Say accomplished in the first edition of the Traité...

Existence results for equilibria in economies under increasing returns to scale, fixed costs, or showing more general types of non convexity in the production sector, strongly rest on a crucial condition, known as the survival assumption. This assumption is unsatisfactory in the sense that it...