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The linearised Hamiltonian as comprehensive NDP

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  • WEITZMAN, MARTIN L.

Abstract

For guidance in determining which items should be included in comprehensive NDP (net domestic product) and how they should be included, reference is often made to the linearised Hamiltonian from an optimal growth problem. The paper gives a rigorous interpretation of this procedure in terms of a money-metric utility function linked to familiar elements of standard welfare theory. A key insight is that the Hamiltonian itself is a quasilinear utility function, so imposing the money-metric normalisation is simply equivalent to using Marshallian consumer surplus as the appropriate measure of welfare when there are no income effects. The twin concepts of the ‘sustainability-equivalence principle’ and the ‘dynamic welfare-comparison principle’ are explained, and it is indicated why these two principles are important for the theory of national income accounting.

Suggested Citation

  • Weitzman, Martin L., 2000. "The linearised Hamiltonian as comprehensive NDP," Environment and Development Economics, Cambridge University Press, vol. 5(1), pages 55-68, February.
  • Handle: RePEc:cup:endeec:v:5:y:2000:i:01:p:55-68_00
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    Cited by:

    1. Aronsson, Thomas & Lofgren, Karl-Gustaf, 1999. "Pollution tax design and 'Green' national accounting," European Economic Review, Elsevier, vol. 43(8), pages 1457-1474, August.
    2. Azqueta, Diego & Sotelsek, Daniel, 2007. "Valuing nature: From environmental impacts to natural capital," Ecological Economics, Elsevier, vol. 63(1), pages 22-30, June.
    3. Kiyohiko G. Nishimura & Junko Ishikawa, 2017. "Understanding Macroeconomic Statistics: An "Ideal-Type" Economy Approach," CARF F-Series CARF-F-424, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    4. Tsur, Yacov & Zemel, Amos, 2006. "Welfare measurement under threats of environmental catastrophes," Journal of Environmental Economics and Management, Elsevier, vol. 52(1), pages 421-429, July.
    5. Huhtala, Anni & Samakovlis, Eva, 2003. "Green Accounting, Air Pollution and Health," Working Papers 82, National Institute of Economic Research.
    6. Bostedt, Göran & Lundgren, Tommy, 2010. "Accounting for cultural heritage -- A theoretical and empirical exploration with focus on Swedish reindeer husbandry," Ecological Economics, Elsevier, vol. 69(3), pages 651-657, January.
    7. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09hi4j70a29 is not listed on IDEAS
    8. Hediger, Werner, 2010. "Welfare and capital-theoretic foundations of corporate social responsibility and corporate sustainability," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 39(4), pages 518-526, August.
    9. Ottmar Edenhofer & Susanne Kadner & Christoph von Stechow & Gregor Schwerhoff & Gunnar Luderer, 2014. "Linking climate change mitigation research to sustainable development," Chapters, in: Giles Atkinson & Simon Dietz & Eric Neumayer & Matthew Agarwala (ed.), Handbook of Sustainable Development, chapter 30, pages 476-499, Edward Elgar Publishing.
    10. Figueroa B., Eugenio & Orihuela R., Carlos & Calfucura T., Enrique, 2010. "Green accounting and sustainability of the Peruvian metal mining sector," Resources Policy, Elsevier, vol. 35(3), pages 156-167, September.
    11. Hassan, Rashid & Ngwenya, Phindile, 2006. "Valuing forest services missing from the national accounts: The contribution of cultivated forests to wealth accumulation in Swaziland," Forest Policy and Economics, Elsevier, vol. 9(3), pages 249-260, December.
    12. Partha Dasgupta & Karl-Göran Mäler, 2003. "The Economics of Non-Convex Ecosystems: Introduction," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 499-525, December.
    13. Andrés Gómez-Lobo E., 2001. "Sustainable development and natural resource accounting in a small open economy: a methodological clarification," Estudios de Economia, University of Chile, Department of Economics, vol. 28(2 Year 20), pages 203-216, December.
    14. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09hi4j70a29 is not listed on IDEAS
    15. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09hi4j70a29 is not listed on IDEAS
    16. Huhtala, Anni & Toppinen, Anne & Boman, Mattias, 2001. "An Environmental Accountant`s Dilemma: Are Stumpage Prices Reliable Indicators of Resource Scarcity?," Working Papers 77, National Institute of Economic Research.
    17. Partha Dasgupta & Karl-Goran Maler, 1998. "Decentralization Schemes, Cost-Benefit-Analysis, and Net National Product as a Measure of Social Well-Being," STICERD - Development Economics Papers - From 2008 this series has been superseded by Economic Organisation and Public Policy Discussion Papers 12, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    18. Céline Antonin & Thomas Melonio & Xavier Timbeau, 2012. "L'epargne nette ré-ajustée," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(1), pages 259-286.
    19. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09hi4j70a29 is not listed on IDEAS
    20. Yacov Tsur & Amos Zemel, 2008. "Regulating environmental threats," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(3), pages 297-310, March.

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