The Possibility of Ordering Infinite Utility Streams
AbstractThis paper revisits Diamond’s classical impossibility result regarding the ordering of infinite utility streams. We show that if no representability condition is imposed, there do exist strongly Paretian and finitely anonymous orderings of intertemporal utility streams with attractive additional properties. We extend a possibility theorem due to Svensson to a characterization theorem and we provide characterizations of all strongly Paretian and finitely anonymous rankings satisfying the strict transfer principle. In addition, infinite horizon extensions of leximin and of utilitarianism are characterized by adding an equity preference axiom and finite translation-scale measurability, respectively, to strong Pareto and finite anonymity.
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Bibliographic InfoPaper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2004-09.
Length: 13 pages
Date of creation: 2004
Date of revision:
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Intergenerational justice; multi-riod social choice; leximin; utilitarianism;
Other versions of this item:
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2004. "The Possibility of Ordering Infinite Utility Streams," Cahiers de recherche 12-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-08-31 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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