Ordering infinite utility streams comes at the cost of a non-Ramsey set
AbstractThe existence of a Paretian and finitely anonymous ordering in the set of infinite utility streams implies the existence of a non-Ramsey set (a nonconstructive object whose existence requires the axiom of choice). Therefore, each Paretian and finitely anonymous quasi-ordering either is incomplete or does not have an explicit description. Hence, the possibility results of Svensson (1980) and of Bossert, Sprumont, and Suzumura (2006) do require the axiom of choice.
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Bibliographic InfoPaper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën in its series Center for Economic Studies - Discussion papers with number ces09.05.
Date of creation: Feb 2009
Date of revision:
Intergenerational justice; Pareto; Multi-period social choice; Axiom of choice; Constructivism.;
Other versions of this item:
- Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
- Lauwers, Luc, 2009. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/222067, Katholieke Universiteit Leuven.
- D60 - Microeconomics - - Welfare Economics - - - General
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-04-05 (All new papers)
- NEP-CDM-2009-04-05 (Collective Decision-Making)
- NEP-UPT-2009-04-05 (Utility Models & Prospect Theory)
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