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Intergenerational Justice and Sustainability under the Leximin Ethic

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Abstract

We model an intergenerational society, with a representative agent at each date, who must deplete a renewable resource, from which he derives utility, to produce consumption goods. We adopt the intergenerational lexicographic minimum as the social welfare function. Initially, technological progress is assumed to exist exogenously. We study the technological requirements for the leximin solution to support non-decreasing welfare over time, and a non-decreasing level of the natural resource. Three utility functions are studied. With a CES utility function, possessing less substitutability than the Cobb-Douglas, the leximin solution involves increasing utilities over time and an increasing size of the natural resource, if the rate of transformation of the resource into the consumption good is greater than a computed bound. Finally we study a model with endogenous technical progress.

Suggested Citation

  • John E. Roemer, 2005. "Intergenerational Justice and Sustainability under the Leximin Ethic," Cowles Foundation Discussion Papers 1512, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1512
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    1. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    1. Llavador, Humberto & Roemer, John E. & Silvestre, Joaquim, 2011. "“A dynamic analysis of human welfare in a warming planet”," Journal of Public Economics, Elsevier, vol. 95(11), pages 1607-1620.
    2. Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2013. "Should we sustain? And if so, sustain what? Consumption or the quality of life?," Chapters, in: Roger Fouquet (ed.), Handbook on Energy and Climate Change, chapter 30, pages 639-665, Edward Elgar Publishing.
    3. Humberto Llavador & John E. Roemer & Joaquim Silvestre, 2013. "Should we sustain? And if so, sustain what? Consumption or the quality of life?," Chapters,in: Handbook on Energy and Climate Change, chapter 30, pages 639-665 Edward Elgar Publishing.
    4. Llavador, Humberto & Roemer, John E. & Silvestre, Joaquim, 2011. "“A dynamic analysis of human welfare in a warming planet”," Journal of Public Economics, Elsevier, vol. 95(11), pages 1607-1620.
    5. Stefanie Glotzbach & Stefan Baumgärtner, 2009. "The relationship between intra- and intergenerational ecological justice. Determinants of goal conflicts and synergies in sustainability policy," Working Paper Series in Economics 141, University of Lüneburg, Institute of Economics.
    6. Gregory Ponthiere, 2009. "The ecological footprint: an exhibit at an intergenerational trial?," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 11(4), pages 677-694, August.

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    More about this item

    Keywords

    Leximin; Sustainability; Technical change;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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