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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 generated by these policies. 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 potentially an extremely “efficient” (easy and quick) way of deriving optimal policies for the corresponding decentralized economies.

Suggested Citation

  • Bhattacharya, Joydeep & Singh, Rajesh, 2008. "On the usefulness of the constrained planning problem in a model of money," ISU General Staff Papers 200809010700001158, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genstf:200809010700001158
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    References listed on IDEAS

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    1. Beatrix Paal & Bruce D. Smith, 2013. "The sub-optimality of the Friedman rule and the optimum quantity of money," Annals of Economics and Finance, Society for AEF, vol. 14(2), pages 911-948, November.
    2. Joseph H. Haslag & Antoine Martin, 2007. "Optimality of the Friedman Rule in an Overlapping Generations Model with Spatial Separation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1741-1758, October.
    3. Antinolfi, Gaetano & Huybens, Elisabeth & Keister, Todd, 2001. "Monetary Stability and Liquidity Crises: The Role of the Lender of Last Resort," Journal of Economic Theory, Elsevier, vol. 99(1-2), pages 187-219, July.
    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. Bruce Champ & Bruce D. Smith & Stephen D. Williamson, 1996. "Currency Elasticity and Banking Panics: Theory and Evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 29(4), pages 828-864, November.
    6. Schreft, Stacey L. & Smith, Bruce D., 1997. "Money, Banking, and Capital Formation," Journal of Economic Theory, Elsevier, vol. 73(1), pages 157-182, March.
    7. Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2005. "Heterogeneity, Redistribution, And The Friedman Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 437-454, May.
    8. Antinolfi, Gaetano & Keister, Todd, 2006. "Discount Window Policy, Banking Crises, And Indeterminacy Of Equilibrium," Macroeconomic Dynamics, Cambridge University Press, vol. 10(1), pages 1-19, February.
    9. Townsend, Robert M, 1987. "Economic Organization with Limited Communication," American Economic Review, American Economic Association, vol. 77(5), pages 954-971, December.
    10. 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.
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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.
    2. Bhattacharya, Joydeep & Haslag, Joseph H. & Martin, Antoine, 2009. "Why does overnight liquidity cost more than intraday liquidity?," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1236-1246, June.
    3. Matsuoka, Tarishi, 2012. "Imperfect interbank markets and the lender of last resort," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1673-1687.
    4. Bhattacharya, Joydeep & Singh, Rajesh, 2010. "Optimal monetary rules under persistent shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 34(7), pages 1277-1294, July.
    5. Eisei Ohtaki, 2016. "Optimality of the Friedman rule under ambiguity," Working Papers e103, Tokyo Center for Economic Research.

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    More about this item

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy

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