IDEAS home Printed from https://ideas.repec.org/p/isu/genstf/200809010700001158.html
   My bibliography  Save this paper

On the usefulness of the constrained planning problem in a model of money

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://dr.lib.iastate.edu/server/api/core/bitstreams/b4478002-382f-42e7-b9ce-fce76b6563ad/content
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    6. 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.
    7. Townsend, Robert M, 1987. "Economic Organization with Limited Communication," American Economic Review, American Economic Association, vol. 77(5), pages 954-971, December.
    8. 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.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Machicado, Carlos Gustavo, 2008. "Liquidity shocks and the dollarization of a banking system," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 369-381, March.
    2. 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.
    3. 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.
    4. Bhattacharya, Joydeep & Singh, Rajesh, 2005. "Optimal Choice of Monetary Instruments in an Economy with Real and Liquidity Shocks," Staff General Research Papers Archive 12355, Iowa State University, Department of Economics.
    5. 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.
    6. Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2009. "Optimal monetary policy and economic growth," European Economic Review, Elsevier, vol. 53(2), pages 210-221, February.
    7. Carlos Gustavo Machicado, 2007. "Growth and Banking Structure in a Partially Dollarized Economy," Development Research Working Paper Series 02/2007, Institute for Advanced Development Studies.
    8. Eisei Ohtaki, 2023. "Climate change, financial intermediation, and monetary policy," Working Papers e179, Tokyo Center for Economic Research.
    9. 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.
    10. Edgar A. Ghossoub, 2013. "Banking Competition: Implications for Welfare and Monetary Policy," Working Papers 0182eco, College of Business, University of Texas at San Antonio.
    11. Lukas Altermatt & Christian Wipf, 2020. "Liquidity, the Mundell-Tobin Effect, and the Friedman Rule," Diskussionsschriften dp2013, Universitaet Bern, Departement Volkswirtschaft.
    12. Bhattacharya, Joydeep & Haslag, Joseph H. & Martin, Antoine, 2006. "Sub-optimality of the Friedman rule in Townsend's turnpike and stochastic relocation models of money: Do finite lives and initial dates matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 879-897, May.
    13. 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.
    14. Tarishi Matsuoka, 2011. "Monetary Policy and Banking Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(6), pages 1109-1129, September.
    15. Matsuoka, Tarishi & Watanabe, Makoto, 2019. "Banking crises and liquidity in a monetary economy," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    16. Joseph H. Haslag & Joydeep Bhattacharya & Antoine Martin, 2007. "Money, output and the payment system: Optimal monetary policy in a model with hidden effort," Working Papers 0704, Department of Economics, University of Missouri.
    17. 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.
    18. Makoto (M.) Watanabe & Tarishi Matsuoka, 2019. "Banking Panics and the Lender of Last Resort in a Monetary Economy," Tinbergen Institute Discussion Papers 19-002/V, Tinbergen Institute.
    19. Tarishi Matsuoka, 2011. "Temporary Bubbles and Discount Window Policy," KIER Working Papers 802, Kyoto University, Institute of Economic Research.
    20. Todd Keister, 2009. "Central Bank Lending and Inflation," 2009 Meeting Papers 782, Society for Economic Dynamics.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:isu:genstf:200809010700001158. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.