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A Note on the Application of Schubert Calculus in Heterogeneous Economies With Pure Exchange

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  • Centeno, Alex

Abstract

In this paper we find a geometrical characterization of some components of the theory of equilibrium Walrasian and the existence of these in a pure exchange economy with heterogeneous agents where there are r goods and m agents. It will be proven that this economics admit stratification, for this we will consider the Grassmannian varieties. These are of greater importance for construct varieties of flags that contain information for obtaining the core of the economy and the existence of equilibrium.

Suggested Citation

  • Centeno, Alex, 2020. "A Note on the Application of Schubert Calculus in Heterogeneous Economies With Pure Exchange," MPRA Paper 98944, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:98944
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    File URL: https://mpra.ub.uni-muenchen.de/98944/1/MPRA_paper_98944.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Schubert cell; Schubert varieties; Grassmannian varieties;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

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