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A Theory of Convex Differentials in Economics

Author

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  • Mughal, Adil Ahmad

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.

Suggested Citation

  • Mughal, Adil Ahmad, 2022. "A Theory of Convex Differentials in Economics," MPRA Paper 114696, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:114696
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    File URL: https://mpra.ub.uni-muenchen.de/114696/1/MPRA_paper_114696.pdf
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    References listed on IDEAS

    as
    1. Le, Thanh & Le Van, Cuong & Pham, Ngoc-Sang & Sağlam, Çağrı, 2020. "Sperner Lemma, Fixed Point Theorems, and the Existence of Equilibrium," MPRA Paper 100084, University Library of Munich, Germany.
    2. Andrew McLennan, 2018. "Advanced Fixed Point Theory for Economics," Springer Books, Springer, number 978-981-13-0710-2, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Convex Differential; Fixed-point; No-Retraction; Farkas' Lemma;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D3 - Microeconomics - - Distribution
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • F1 - International Economics - - Trade
    • F61 - International Economics - - Economic Impacts of Globalization - - - Microeconomic Impacts
    • H89 - Public Economics - - Miscellaneous Issues - - - Other
    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity

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