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Translation invariance when utility streams are infinite and unbounded

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  • Mabrouk, Mohamed B.R.

Abstract

The axiom translation invariance consists in asserting the invariance of the ranking of two utility streams if one applies the same translation to both. This axiom is significant in the characterization of utilitarian criteria in finite dimension. This characterization is achieved thanks to the "weak weighted utilitarianism theorem".The objective here is to propose a generalization of this theorem in a space of infinite and unbounded utility streams. A consequence of the suggested generalization is that, in the context of intergenerational choice, every maximal point with respect to a paretian utilitarian order granting comparable considerations to the present and the future, is also a maximal point with respect to some future-oriented criterion.

Suggested Citation

  • Mabrouk, Mohamed B.R., 2008. "Translation invariance when utility streams are infinite and unbounded," MPRA Paper 17664, University Library of Munich, Germany, revised 05 Oct 2009.
  • Handle: RePEc:pra:mprapa:17664
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    References listed on IDEAS

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    1. Le Van, Cuong & Cagri Saglam, H., 2004. "Optimal growth models and the Lagrange multiplier," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 393-410, June.
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    6. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 10, pages 459-541 Elsevier.
    7. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
    8. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
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    Cited by:

    1. Mabrouk, Mohamed, 2018. "On the extension of a preorder under translation invariance," MPRA Paper 86564, University Library of Munich, Germany.
    2. Mabrouk, Mohamed, 2018. "On the extension of a preorder under translation invariance," MPRA Paper 86313, University Library of Munich, Germany.

    More about this item

    Keywords

    Translation invariance; Infinite utility streams; Utilitarianism; Intergenerational equity;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D99 - Microeconomics - - Micro-Based Behavioral Economics - - - Other
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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