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On the Usefulness of the Constrained Planning Problem in a Model of Money

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  • Bhattacharya, Joydeep
  • Singh, Rajesh

Abstract

In this paper, we study a decentralized monetary economy with a specified set of markets, rules of trade, an equilibrium concept, and a restricted set of policies and derive a set of equilibrium (monetary) allocations. Next we set up a simpler constrained planning problem in which we restrict the planner to choose from a set that contains the set of equilibrium allocations in the decentralized economy. If there is a government policy that allows the decentralized economy to achieve the constrained planner's allocation, then it is the optimal policy choice. To illustrate the power of such analyses, we solve such planning problems in three monetary environments with limited communication. The upshot is that solving constrained planning problems is an extremely "efficient" (easy and quick) way of deriving optimal policies for the corresponding decentralized economies.

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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12660.

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Date of creation: 01 Aug 2006
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Publication status: Published in Macroeconomic Dynamics, September 2008, vol. 12 no. 4, pp. 503-525
Handle: RePEc:isu:genres:12660

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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Keywords: planning problems; overlapping generations; random relocation model;

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References

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  1. Bruce D. Smith, 2002. "Monetary Policy, Banking Crises, and the Friedman Rule," American Economic Review, American Economic Association, vol. 92(2), pages 128-134, May.
  2. Gaetano Antinolfi & Elisabeth Huybens & Todd Keister, 2000. "Monetary Stability and Liquidity Crises: The Role of the Lender of Last Resort," Working Papers 0001, Centro de Investigacion Economica, ITAM.
  3. Beatrix Paal & Bruce D. Smith, 2001. "The sub-optimality of the Friedman rule and the optimum quantity of money," IEHAS Discussion Papers 0113, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  4. Bhattacharya, Joydeep & Haslag, Joseph & Russell, Steven, 2005. "The role of money in two alternative models: When is the Friedman rule optimal, and why?," Journal of Monetary Economics, Elsevier, vol. 52(8), pages 1401-1433, November.
  5. Joe Haslag & Antoine Martin, 2003. "Optimality of the Friedman Rule in Overlapping Generations Model with Spatial Separation," Working Papers 0306, Department of Economics, University of Missouri.
  6. Antinolfi, Gaetano & Keister, Todd, 2006. "Discount Window Policy, Banking Crises, And Indeterminacy Of Equilibrium," Macroeconomic Dynamics, Cambridge University Press, vol. 10(01), pages 1-19, February.
  7. Champ, B. & Snith, B.D. & Williamson, D.S., 1991. "Currency Elasticity and Banking Panics: Theory and Evidence," RCER Working Papers 292, University of Rochester - Center for Economic Research (RCER).
  8. Townsend, Robert M, 1987. "Economic Organization with Limited Communication," American Economic Review, American Economic Association, vol. 77(5), pages 954-71, December.
  9. Schreft, Stacey L. & Smith, Bruce D., 1997. "Money, Banking, and Capital Formation," Journal of Economic Theory, Elsevier, vol. 73(1), pages 157-182, March.
  10. Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2004. "Heterogeneity, Redistribution, and the Friedman Rule," Staff General Research Papers 11371, Iowa State University, Department of Economics.
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Cited by:
  1. Bhattacharya, Joydeep & Singh, Rajesh, 2008. "Optimal choice of monetary policy instruments in an economy with real and liquidity shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1273-1311, April.

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