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Approximations to viability kernels for sustainable macroeconomic policies

Author

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  • Krawczyk, Jacek B
  • Pharo, Alastair
  • Simpson, Mark

Abstract

Maintaining an open economy within certain bounds on inflation, output gap and exchange rate can help sustainable economic development. Macroeconomics proposes monetary-policy models that describe evolution of the above quantities. We use one such model, constituted by a four-metastate one-control system, to compute viability kernel approximations that one can use to assist the central bank to establish "sustainable" policies. We propose a simple heuristic algorithm that leads to kernel approximations for this and similar models.

Suggested Citation

  • Krawczyk, Jacek B & Pharo, Alastair & Simpson, Mark, 2011. "Approximations to viability kernels for sustainable macroeconomic policies," Working Paper Series 1531, Victoria University of Wellington, School of Economics and Finance.
  • Handle: RePEc:vuw:vuwecf:1531
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    File URL: http://researcharchive.vuw.ac.nz/handle/10063/1531
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    References listed on IDEAS

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    1. Krawczyk, Jacek & Kim, Kunhong, 2009. "Satisficing Solutions To A Monetary Policy Problem," Macroeconomic Dynamics, Cambridge University Press, vol. 13(01), pages 46-80, February.
    2. Martinet, V. & Doyen, L., 2007. "Sustainability of an economy with an exhaustible resource: A viable control approach," Resource and Energy Economics, Elsevier, vol. 29(1), pages 17-39, January.
    3. Carl E. Walsh, 2003. "Monetary Theory and Policy, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232316, January.
    4. Seppo Honkapohja & Kaushik Mitra, 2006. "Learning Stability in Economies with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 284-309, April.
    5. Martinet, Vincent & Thebaud, Olivier & Doyen, Luc, 2007. "Defining viable recovery paths toward sustainable fisheries," Ecological Economics, Elsevier, vol. 64(2), pages 411-422, December.
    6. Jacek Krawczyk & Rishab Sethi, 2007. "Satisficing Solutions for New Zealand Monetary Policy," Reserve Bank of New Zealand Discussion Paper Series DP2007/03, Reserve Bank of New Zealand.
    7. Nicoletta Batini & Andrew Haldane, 1999. "Forward-Looking Rules for Monetary Policy," NBER Chapters,in: Monetary Policy Rules, pages 157-202 National Bureau of Economic Research, Inc.
    8. Bene, C. & Doyen, L. & Gabay, D., 2001. "A viability analysis for a bio-economic model," Ecological Economics, Elsevier, vol. 36(3), pages 385-396, March.
    9. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530 Elsevier.
    10. Jacek B. Krawczyk & Kunhong Kim, 2006. "A Viable Solution to a Small Open-Economy Monetary Policy Problem," Computing in Economics and Finance 2006 188, Society for Computational Economics.
    11. repec:dau:papers:123456789/6869 is not listed on IDEAS
    12. FILAR, Jerzy A. & KRAWCZYK, Jacek B. & AGRAWAL, Manju, 2009. "On production and abatement time scales in sustainable development. Can we loosen the sustainability screw ?," CORE Discussion Papers 2009028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Jeffrey C. Fuhrer, 1994. "Optimal monetary policy in a model of overlapping price contracts," Working Papers 94-2, Federal Reserve Bank of Boston.
    14. BONNEUIL, Noël & BOUCEKKINE, Raouf, 2009. "Sustainability, optimality, and viability in the Ramsey model," CORE Discussion Papers 2009074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. KRAWCZYK, Jacek B. & SEREA, Oana-Silvia, 2009. "A viability theory approach to a two-stage optimal control problem of technology adoption," CORE Discussion Papers 2009004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Dominique Pujal & Patrick Saint-Pierre, 2006. "Capture Basin Algorithm for Evaluating and Managing Complex Financial Instruments," Computing in Economics and Finance 2006 186, Society for Computational Economics.
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    Citations

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    Cited by:

    1. Gunaratna, Thakshila, 2014. "Differences in monetary policies between two hypothetical closed economies:one which is concerned with avoiding a large negative output gap and the other which is not," MPRA Paper 61826, University Library of Munich, Germany, revised 03 Feb 2015.
    2. Jacek Krawczyk & Kunhong Kim, 2014. "Viable Stabilising Non-Taylor Monetary Policies for an Open Economy," Computational Economics, Springer;Society for Computational Economics, vol. 43(2), pages 233-268, February.
    3. Krawczyk, Jacek B. & Judd, Kenneth L., 2014. "Which economic states are sustainable under a slightly constrained tax-rate adjustment policy," MPRA Paper 59027, University Library of Munich, Germany.

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    Keywords

    monetary policy; viability kernel; algorithm; MATLAB;

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