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Real indeterminacy of stationary equilibria in matching models with divisible money

  • Kamiya, Kazuya
  • Shimizu, Takashi

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. Kamiya, K. & Sato, T., 2002. "Equilibrium Price Dispersion in a Matching Model with Divisible Money," Discussion Paper 2002-118, Tilburg University, Center for Economic Research.
  2. 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.
  3. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-53, March.
  4. repec:cup:cbooks:9780521265140 is not listed on IDEAS
  5. Camera, G. & Corbae, D., 1998. "Money and Price Dispersion," Working Papers 98-03, University of Iowa, Department of Economics.
  6. 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.
  7. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
  8. Laan, Gerard van der, 1982. "Simplicial approximation of unemployment equilibria," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 83-97, January.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
  14. John Geanakoplos & Andreu Mas-Colell, 1985. "Real Indeterminacy with Financial Assets," Cowles Foundation Discussion Papers 770R, Cowles Foundation for Research in Economics, Yale University, revised Oct 1985.
  15. 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.
  16. Nishimura, Kazuo & Shimomura, Koji, 2002. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 244-260, July.
  17. Zhou, Ruilin, 2003. "Does commodity money eliminate the indeterminacy of equilibrium?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 176-190, May.
  18. 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.
  19. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  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. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
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