IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

A Monetary Theory with Non-Degenerate Distributions

Listed author(s):
  • Guido Menzio

    ()

    (Department of Economics, University of Pennsylvania)

  • Shouyong Shi

    ()

    (Department of Economics, University of Toronto)

  • Hongfei Sun

    ()

    (Department of Economics, Queens University)

Dispersion of money balances among individuals is the basis for a range of policies but it has been abstracted from in monetary theory for tractability reasons. In this paper, we fill in this gap by constructing a tractable search model of money with a non-degenerate distribution of money holdings. We assume search to be directed in the sense that buyers know the terms of trade before visiting particular sellers. Directed search makes the monetary steady state block recursive in the sense that individuals’ policy functions, value functions and the market tightness function are all independent of the distribution of individuals over money balances, although the distribution affects the aggregate activity by itself. Block recursivity enables us to characterize the equilibrium analytically. By adapting lattice-theoretic techniques, we characterize individuals’ policy and value functions, and show that these functions satisfy the standard conditions of optimization. We prove that a unique monetary steady state exists. Moreover, we provide conditions under which the steady-state distribution of buyers over money balances is non-degenerate and analyze the properties of this distribution.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://economics.sas.upenn.edu/system/files/working-papers/11-009.pdf
Download Restriction: no

Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 11-009.

as
in new window

Length: 57 pages
Date of creation: 11 Mar 2011
Handle: RePEc:pen:papers:11-009
Contact details of provider: Postal:
3718 Locust Walk, Philadelphia, PA 19104

Phone: 215-898-9992
Fax: 215-573-2378
Web page: http://economics.sas.upenn.edu/pier
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as
in new window

  1. Ricardo Lagos & Guillaume Rocheteau, 2004. "Inflation, output and welfare," Staff Report 342, Federal Reserve Bank of Minneapolis.
  2. Jonathan Chiu & Miguel Molico, 2008. "Uncertainty, Inflation, and Welfare," Staff Working Papers 08-13, Bank of Canada.
  3. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
  4. Randall Wright & Guillame Rocheteau, 2003. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Levine's Bibliography 666156000000000302, UCLA Department of Economics.
  5. Edward J. Green & Ruilin Zhou, "undated". "A Rudimentary Model of Search with Divisible Money and Prices," Penn CARESS Working Papers 2772f94306e08ef7292945588, Penn Economics Department.
  6. Shouyong Shi, 2008. "Directed Search for Equilibrium Wage-Tenure Contracts," Working Papers tecipa-343, University of Toronto, Department of Economics.
  7. Guido Menzio & Shouyong Shi, 2011. "Efficient Search on the Job and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 468-510.
  8. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
  9. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
  10. Rotemberg, Julio J, 1984. "A Monetary Equilibrium Model with Transactions Costs," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 40-58, February.
  11. Guido Menzio & Shouyong Shi, 2008. "Efficient Search on the Job and the Business Cycle, Second Version," PIER Working Paper Archive 09-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Feb 2009.
  12. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
  13. Faig, Miquel, 2008. "Endogenous buyer-seller choice and divisible money in search equilibrium," Journal of Economic Theory, Elsevier, vol. 141(1), pages 184-199, July.
  14. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  15. Aleksander Berentsen & Gabriele Camera & Christopher Waller, 2004. "The distribution of money and prices in an equilibrium with lotteries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(4), pages 887-906, November.
  16. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  17. Carlo Strub & Andrew Clausen, 2014. "A General and Intuitive Envelope Theorem," 2014 Meeting Papers 235, Society for Economic Dynamics.
  18. Manolis Galenianos & Philipp Kircher, 2008. "A model of money with multilateral matching," LSE Research Online Documents on Economics 29701, London School of Economics and Political Science, LSE Library.
  19. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
  20. Alain Delacroix & Shouyong Shi, 2006. "Directed Search On The Job And The Wage Ladder," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 651-699, 05.
  21. Julien, BenoI^t & Kennes, John & King, Ian, 2008. "Bidding for money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 196-217, September.
  22. Benoit Julien & John Kennes & Ian King, 2000. "Bidding for Labor," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 619-649, October.
  23. Daron Acemoglu & Robert Shimer, 1998. "Efficient Unemployment Insurance," NBER Working Papers 6686, National Bureau of Economic Research, Inc.
  24. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, Oxford University Press, vol. 66(4), pages 545-556.
  25. 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 1009-1038, November.
  26. Zhu, Tao, 2005. "Existence of a monetary steady state in a matching model: divisible money," Journal of Economic Theory, Elsevier, vol. 123(2), pages 135-160, August.
  27. Aleksander Berentsen & Gabriele Camera & Christopher Waller, "undated". "The Distribution of Money Balances and the Non-Neutrality of Money," IEW - Working Papers 220, Institute for Empirical Research in Economics - University of Zurich.
  28. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1998. "Monetary Policy Shocks: What Have We Learned and to What End?," NBER Working Papers 6400, National Bureau of Economic Research, Inc.
  29. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, 08.
  30. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-1454, September.
  31. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
  32. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
  33. Francisco M. Gonzalez & Shouyong Shi, 2009. "An Equilibrium Theory of Learning, Search and Wages," Working Papers tecipa-384, University of Toronto, Department of Economics.
  34. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
  35. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
  36. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  37. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
  38. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-577, June.
  39. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, 05.
  40. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
  41. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
Full references (including those not matched with items on IDEAS)

This item is featured on the following reading lists or Wikipedia pages:

  1. Canadian Macro Study Group

When requesting a correction, please mention this item's handle: RePEc:pen:papers:11-009. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dolly Guarini)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.