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

Author

Listed:
  • Kazuya Kamiya

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

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.

Suggested Citation

  • Kazuya Kamiya, 2019. "On the Real Determinacy and Indeterminacy of Stationary Equilibria in Monetary Models," Discussion Paper Series DP2019-03, Research Institute for Economics & Business Administration, Kobe University, revised Mar 2021.
    • Handle: RePEc:kob:dpaper:dp2019-03
    as

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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2019-03.pdf
    File Function: First version, 2019
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    References listed on IDEAS

    as
    1. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
    2. Kazuya Kamiya & Takashi Shimizu, 2013. "Dynamic Auction Markets with Fiat Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(2‐3), pages 349-378, March.
    3. Kamiya, Kazuya & Shimizu, Takashi, 2006. "Real indeterminacy of stationary equilibria in matching models with divisible money," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 594-617, August.
    4. Kamiya, Kazuya & Shimizu, Takashi, 2011. "Stationary monetary equilibria with strictly increasing value functions and non-discrete money holdings distributions: An indeterminacy result," Journal of Economic Theory, Elsevier, vol. 146(5), pages 2140-2150, September.
    5. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    6. repec:mcb:jmoncb:v:45:y:2013:i::p:349-378 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Real Determinacy; Real Indeterminacy; Monetary Search Model; All-Pay Auction; Divisible Money; Infi nite Dimensional Space; Borsuk-Ulam Theorem;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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