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Manual of VIKAASA 2.0: An application for computing and graphing viability kernels for simple viability problems

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  • Krawczyk, Jacek B
  • Pharo, Alastair S

Abstract

This manual introduces and provides usage details for an application we have developed called VIKAASA, as well as the library of functions underlying it. VIKAASA runs in GNU Octave or MATLAB®, using the numerical computing and graphing capabilities of those packages to approximate, visualise and test viability kernels for viability problems involving a differential inclusion of two or more dynamic variables, a rectangular constraint set and a single scalar control. This document details version 2.0 of the software.

Suggested Citation

  • Krawczyk, Jacek B & Pharo, Alastair S, 2014. "Manual of VIKAASA 2.0: An application for computing and graphing viability kernels for simple viability problems," Working Paper Series 18839, Victoria University of Wellington, School of Economics and Finance.
  • Handle: RePEc:vuw:vuwecf:18839
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    File URL: https://ir.wgtn.ac.nz/handle/123456789/18839
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    References listed on IDEAS

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    1. Bonneuil, Noel & Saint-Pierre, Patrick, 2008. "Beyond optimality: Managing children, assets, and consumption over the life cycle," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 227-241, 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. 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.
    4. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    5. repec:dau:papers:123456789/6869 is not listed on IDEAS
    6. KRAWCZYK, Jacek B. & SEREA, Oana-Silvia, 2009. "A viability theory approach to a two-stage optimal control problem of technology adoption," LIDAM Discussion Papers CORE 2009004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Krawczyk, Jacek B. & Serea, Oana-Silvia, 2007. "A viability theory approach to a two-stage optimal control problem," MPRA Paper 10103, University Library of Munich, Germany.
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