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

Centeno, Alex (2020): A Note on the Application of Schubert Calculus in Heterogeneous Economies With Pure Exchange.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Schubert cell, Schubert varieties, Grassmannian varieties
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; D - Microeconomics > D5 - General Equilibrium and Disequilibrium; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D50 - General; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D51 - Exchange and Production Economies; D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D58 - Computable and Other Applied General Equilibrium Models

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