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# Subgroup independence conditions on preferences

## Author Info

Listed author(s):
• Juan Candeal

()

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## Abstract

The concept of n-scale independence is introduced for a preference relation defined on $${\mathbb{R}^{n}=\mathbb{R}^{n_{1}}\times \cdots \times \mathbb{R}^{n_{p}}}$$ . In addition to zero-independence and upper semicontinuity at zero, n-scale independence allows us to characterizate linear oligarchies as well as to offer a (semi)continuous welfarist analogue of Wilson’s theorem. We also include a characterization of the class of continuous, n-separable and n-scale independent, p ≥ 3, social orderings in terms of what we call homogeneous oligarchies. Copyright Springer-Verlag 2012

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File URL: http://hdl.handle.net/10.1007/s00355-011-0558-x
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## Bibliographic Info

Article provided by Springer & The Society for Social Choice and Welfare in its journal Social Choice and Welfare.

Volume (Year): 39 (2012)
Issue (Month): 4 (October)
Pages: 847-853

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 Handle: RePEc:spr:sochwe:v:39:y:2012:i:4:p:847-853 DOI: 10.1007/s00355-011-0558-x Contact details of provider: Web page: http://www.springer.com Order Information: Web: http://www.springer.com/economics/economic+theory/journal/355

## References

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1. Bosi, Gianni & Candeal, Juan Carlos & Indurain, Esteban, 2000. "Continuous representability of homothetic preferences by means of homogeneous utility functions," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 291-298, April.
2. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
3. Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-1135, September.
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