Abstract
We examine social orderings applied to infinite intergenerational consumption paths. Fundamental dilemmas between several reasonable axioms lead to a taxonomy and characterization of different kinds of relations, some of which are well known extensions of the Ramsey criterion. We show how filters and ultrafilters can be used to understand the general structure of these extensions and to construct orderings which meet as many axioms as possible.
Original language | English (US) |
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Pages (from-to) | 777-802 |
Number of pages | 26 |
Journal | Journal of Mathematical Economics |
Volume | 39 |
Issue number | 7 |
DOIs | |
State | Published - Sep 2003 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Economics and Econometrics
- Applied Mathematics
Keywords
- Intertemporal equity
- Overtaking criterion
- Ramsey criterion
- Ultrafilters