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Real indeterminacy of stationary equilibria in matching models with divisible money

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  • Kamiya, Kazuya
  • Shimizu, Takashi

Abstract

In this paper, it is shown that real indeterminacy of stationary equilibria generically arises in most matching models with perfectly divisible fiat money. In other words, the real indeterminacy follows from the condition for stationarity of money holdings, and surprisingly it has nothing to do with the other specifications, e.g., the bargaining procedures, of the models. Thus if we assume the divisibility of money in money search models, it becomes quite difficult to make accurate predictions of the effects of some policies.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 42 (2006)
Issue (Month): 4-5 (August)
Pages: 594-617

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Handle: RePEc:eee:mateco:v:42:y:2006:i:4-5:p:594-617

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Web page: http://www.elsevier.com/locate/jmateco

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References

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  1. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-41, February.
  2. Edward J. Green & Ruilin Zhou, 2000. "Dynamic monetary equilibrium in a random-matching economy," Working Paper Series WP-00-1, Federal Reserve Bank of Chicago.
  3. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-38, November.
  4. van der LAAN, Gerard, . "Simplicial approximation of unemployment equilibria," CORE Discussion Papers RP -467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Ruilin Zhou, 1999. "Does commodity money eliminate the indeterminacy of equilibria?," Working Paper Series WP-99-15, Federal Reserve Bank of Chicago.
  6. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  7. Kazuya Kamiya & Takashi Shimizu, 2007. "Existence of Equilibria in Matching Models of Money: A New Technique," Economic Theory, Springer, vol. 32(3), pages 447-460, September.
  8. T. J. Kehoe & D. K. Levine, 1982. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Working papers 312, Massachusetts Institute of Technology (MIT), Department of Economics.
  9. Camera, G. & Corbae, D., 1998. "Money and Price Dispersion," Working Papers 98-03, University of Iowa, Department of Economics.
  10. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
  11. Herings, P. Jean-Jacques, 1998. "On the existence of a continuum of constrained equilibria1," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 257-273, October.
  12. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  13. Koji Shimomura & Kazuo Nishimura, 2001. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Discussion Paper Series 117, Research Institute for Economics & Business Administration, Kobe University.
  14. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  15. 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.
  16. Kazuya Kamiya & Takashi Shimizu, 2007. "On The Role Of Tax Subsidy Scheme In Money Search Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(2), pages 575-606, 05.
  17. Mas-Colell,Andreu, 1985. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521265140, October.
  18. Kazuya Kamiya & Takashi Sato, 2004. "Equilibrium Price Dispersion in a Matching Model with Divisible Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 413-430, 05.
  19. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  20. Akihiko Matsui & Takashi Shimizu, 2005. "A Theory Of Money And Marketplaces," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(1), pages 35-59, 02.
  21. Kazuya Kamiya & Noritsugu Morishita & Takashi Shimizu, 2004. "On the Existence of Single-Price Equilibria in a Matching Model with Divisible Money and Production Cost," CIRJE F-Series CIRJE-F-283, CIRJE, Faculty of Economics, University of Tokyo.
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Citations

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Cited by:
  1. Kazuya Kamiya & Takashi Shimizu, 2005. "A New Technique for Proving the Existence of Monetary Equilibria in Matching Models with Divisible Money," CIRJE F-Series CIRJE-F-347, CIRJE, Faculty of Economics, University of Tokyo.
  2. Kazuya Kamiya & Takashi Shimizu, 2010. "Hysteresis in Dynamic General Equilibrium Models with Cash-in-Advance Constraints," CARF F-Series CARF-F-232, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  3. Kazuya Kamiya & Takashi Shimizu, 2009. "Stationary Monetary Equilibria with Strictly Increasing Value Functions and Non-Discrete Money Holdings Distributions: An Indeterminacy Result," CIRJE F-Series CIRJE-F-615, CIRJE, Faculty of Economics, University of Tokyo.
  4. Kazuya Kamiya & So Kubota & Kayuna Nakajima, 2011. "Efficient estimation and particle filter for max-stable processes," CIRJE F-Series CIRJE-F-792, CIRJE, Faculty of Economics, University of Tokyo.
  5. Kazuya Kamiya & Takashi Shimizu, 2007. "Existence of Equilibria in Matching Models of Money: A New Technique," Economic Theory, Springer, vol. 32(3), pages 447-460, September.
  6. Kamiya, Kazuya & Talman, Dolf, 2009. "Matching models with a conservation law: The existence and global structure of the set of stationary equilibria," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 397-413, May.
  7. Li, Yiting & Matsui, Akihiko, 2009. "A theory of international currency: Competition and discipline," Journal of the Japanese and International Economies, Elsevier, vol. 23(4), pages 407-426, December.

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