A Theory of Convex Differentials in Economics

Mughal, Adil Ahmad (2022): A Theory of Convex Differentials in Economics.

Abstract

There are proposed 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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Convex Differential, Fixed-point, No-Retraction, Farkas' Lemma
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C68 - Computable General Equilibrium Models; D - Microeconomics > D3 - Distribution; D - Microeconomics > D4 - Market Structure, Pricing, and Design; D - Microeconomics > D4 - Market Structure, Pricing, and Design > D41 - Perfect Competition; D - Microeconomics > D5 - General Equilibrium and Disequilibrium; F - International Economics > F1 - Trade; F - International Economics > F6 - Economic Impacts of Globalization > F61 - Microeconomic Impacts; H - Public Economics > H8 - Miscellaneous Issues > H89 - Other; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity

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