2019RePEc: Research Papers in EconomicsRequires access

On the Real Determinacy and Indeterminacy of Stationary Equilibria in Monetary Models

Kazuya Kamiya

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Abstract

It is known that stationary equilibria are indeterminate in some monetary models, especially in money search models with divisible money. However, most of the indeterminacy results are limited to the case that money holdings distributions have fi nite supports. In the case of infi nite supports, both determinacy and indeterminacy results are known. In this paper, using the Borsuk-Ulam theorem in Banach Space, I investigate what determines the differences.

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What this paper is about

It is known that stationary equilibria are indeterminate in some monetary models, especially in money search models with divisible money. However, most of the indeterminacy results are limited to the case that money holdings distributions have fi nite supports. In the case of infi nite supports, both determinacy and indeterminacy results are known. In this paper, using the Borsuk-Ulam theorem in Banach Space, I investigate what determines the differences.

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Available abstract

It is known that stationary equilibria are indeterminate in some monetary models, especially in money search models with divisible money. However, most of the indeterminacy results are limited to the case that money holdings distributions have fi nite supports. In the case of infi nite supports, both determinacy and indeterminacy results are known. In this paper, using the Borsuk-Ulam theorem in Banach Space, I investigate what determines the differences.

Key concepts: Determinacy, Indeterminacy (philosophy), Indeterminate, Economics, Mathematical economics, Mathematics, Space (punctuation), Econometrics

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