A THEORY OF CONVEX DIFFERENTIALS IN ECONOMICS


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Article type :

1

Author :

Adil Ahmad Mughal

Volume :

3

Issue :

1

Abstract :

This paper proposes a concept of convex and linear functions as convex differentials among subsets of commodity and price spaces in a convex and Euclidean space linearity. These subsets are tied together in the whole commodity and price space through fixed-points' equilibrium structure in the form of nonnegative price functions under General Equilibrium Theory. The Economic outcome is a necessarily mutual pricing imperative between a new technology and its market development aspect implying imports and exports to be complements, not substitutes. The theoretical method adopted here is for a mathematical existence result.

Keyword :

Keywords: echnological innovation; convex differentials; market development; fixed-point theorems; Farkas' lemma