Advanced Search
MyIDEAS: Login

A Monetary Theory with Non-Degenerate Distributions

Contents:

Author Info

  • Shouyong Shi

    (University of Toronto)

  • Hongfei Sun

    (Queen's University)

  • Guido Menzio

    (University of Pennsylvania)

Abstract

At any given point of time in an actual economy, some individuals hold more money than other individuals do. This non-degenerate distribution of money holdings among individuals is a rationale for a range of policies designed for reallocating liquidity among individuals. However, monetary theory has often abstracted from this non-degenerate distribution for tractability reasons. In this paper, we construct a tractable search model of money with a non-degenerate distribution of money holdings. We model search as a directed process in the sense that buyers know the terms of trade before visiting particular sellers, as opposed to undirected search that has dominated the literature. In this model, the distribution of money holdings among individuals is non-degenerate. We show that this distribution affects individuals' decisions not directly, but rather indirectly only through a one-dimensional variable -- the seller's future marginal value of money. This result drastically reduces the state space of individuals' decisions and makes the model tractable. We analytically characterize a monetary equilibrium, using lattice-theoretic techniques, and prove existence of a monetary steady state. In the equilibrium, buyers follow a stylized spending pattern over time, and the money distribution has a persistent wealth effect.

Download Info

To our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.

Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2010 Meeting Papers with number 598.

as in new window
Length:
Date of creation: 2010
Date of revision:
Handle: RePEc:red:sed010:598

Contact details of provider:
Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
Fax: 1-314-444-8731
Email:
Web page: http://www.EconomicDynamics.org/society.htm
More information through EDIRC

Related research

Keywords:

Other versions of this item:

Find related papers by JEL classification:

References

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. Aleksander Berentsen & Gabriele Camera & Christopher Waller, . "The Distribution of Money Balances and the Non-Neutrality of Money," IEW - Working Papers 220, Institute for Empirical Research in Economics - University of Zurich.
  2. Aleksander Berentsen & Gabriele Camera & Christopher Waller, 2004. "The distribution of money and prices in an equilibrium with lotteries," Economic Theory, Springer, vol. 24(4), pages 887-906, November.
  3. Moen, E.R., 1995. "Competitive Search Equilibrium," Memorandum 37/1995, Oslo University, Department of Economics.
  4. 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.
  5. 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.
  6. Edward J. Green & Ruilin Zhou, . ""A Rudimentary Model of Search with Divisible Money and Prices''," CARESS Working Papres 95-17, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  7. Jonathan Chiu & Miguel Molico, 2008. "Uncertainty, Inflation, and Welfare," Working Papers 08-13, Bank of Canada.
  8. Shouyong Shi & Guido Menzio, 2009. "Block Recursive Equilibria for Stochastic Models of Search on the Job," 2009 Meeting Papers 177, Society for Economic Dynamics.
  9. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September.
  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. Shouyong Shi, 2008. "Directed Search for Equilibrium Wage-Tenure Contracts," Working Papers tecipa-343, University of Toronto, Department of Economics.
  12. 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.
  13. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
  14. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  15. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  16. 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.
  17. Acemoglu, D. & Shimer, R., 1997. "Efficient Unemployment Insurance," Working papers 97-9, Massachusetts Institute of Technology (MIT), Department of Economics.
  18. 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.
  19. Ruilin Zhou, 1996. "Individual and Aggregate Real Balances in a Random Matching Model," GE, Growth, Math methods 9612001, EconWPA, revised 23 Dec 1996.
  20. Julien, BenoI^t & Kennes, John & King, Ian, 2008. "Bidding for money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 196-217, September.
  21. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
  22. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
  23. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-77, June.
  24. Ricardo Lagos & Guillaume Rocheteau, 2005. "Inflation, Output, And Welfare," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 495-522, 05.
  25. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
  26. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  27. Julien, B. & Kennes, J. & King, I., 1998. "Bidding for Labour," Discussion Papers dp98-03, Department of Economics, Simon Fraser University.
  28. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1997. "Monetary policy shocks: what have we learned and to what end?," Working Paper Series, Macroeconomic Issues WP-97-18, Federal Reserve Bank of Chicago.
  29. Krusell, P & Smith Jr, A-A, 1995. "Income and Wealth Heterogeneity in the Macroeconomic," RCER Working Papers 399, University of Rochester - Center for Economic Research (RCER).
  30. Shouyong Shi & Francisco Gonzalez, 2009. "An Equilibrium Theory of Learning, Search and Wages," 2009 Meeting Papers 27, Society for Economic Dynamics.
  31. Alain Delacroix & Shouyong Shi, 2003. "Directed Search On the Job and the Wage Ladder," Working Papers shouyong-03-04, University of Toronto, Department of Economics.
  32. Zhu, Tao, 2003. "Existence of a monetary steady state in a matching model: indivisible money," Journal of Economic Theory, Elsevier, vol. 112(2), pages 307-324, October.
  33. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  34. 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.
  35. Andrew Clausen & Carlo Strub, 2012. "Envelope theorems for non-smooth and non-concave optimization," ECON - Working Papers 062, Department of Economics - University of Zurich.
  36. 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.
  37. 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 937-68, October.
  38. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, 05.
  39. Galenianos, Manolis & Kircher, Philipp, 2008. "A model of money with multilateral matching," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1054-1066, September.
  40. 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 727-32, May.
Full references (including those not matched with items on IDEAS)

Citations

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. A Monetary Theory with Non-Degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2011-04-11 02:44:40
  2. A Monetary Theory with Non-degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2013-09-09 00:45:08
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Zeno Enders, 2010. "Heterogeneous consumers, segmented asset markets,and the effects of monetary policy," Bonn Econ Discussion Papers bgse08_2010, University of Bonn, Germany.
  2. Mahmoudi, Babak, 2013. "Open-Market Operations, Asset Distributions, and Endogenous Market Segmentation," MPRA Paper 50089, University Library of Munich, Germany.
  3. Williamson, Stephen D. & Wright, Randall, 2010. "New Monetarist Economics: Models," MPRA Paper 21030, University Library of Munich, Germany.

Lists

This item is featured on the following reading lists or Wikipedia pages:
  1. Canadian Macro Study Group

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:red:sed010:598. 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: (Christian Zimmermann).

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.