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Consistent Relations

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  • BOSSERT, Walter

Abstract

Consistency, a natural weakening of transitivity introduced in a seminal contribution by Suzumura (1976b), has turned out to be an interesting and promising concept in a variety of areas within economic theory. This paper summarizes its recent applications and provides some new observations in welfarist social choice and in population ethics. In particular, it is shown that the conclusion of the welfarism theorem remains true if transitivity is replaced by consistency and that an impossibility result in variable-population social-choice theory turns into a possibility if transitivity is weakened to consistency.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 03-2006.

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Length: 19 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:mtl:montec:03-2006

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Keywords: Consistency; Ordering Extensions; Rationalizability; Welfarism; Population Ethics;

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References

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  1. Suzumura, Kotaro, 1977. "Houthakker's axiom in the theory of rational choice," Journal of Economic Theory, Elsevier, vol. 14(2), pages 284-290, April.
  2. Broome, John, 2006. "Weighing Lives," OUP Catalogue, Oxford University Press, number 9780199297702.
  3. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Consistent Rationalizability," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques.
  4. Charles Blackorby & Walter Bossert & David Donaldson & Marc Fleurbaey, 1998. "Critical levels and the (reverse) repugnant conclusion," Journal of Economics, Springer, vol. 67(1), pages 1-15, February.
  5. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2001. "Rationalizability of Choice Functions on General Domains without Full Transitivity," Cahiers de recherche 2001-13, Universite de Montreal, Departement de sciences economiques.
  6. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2003. "Population Ethics and the Value of Life," Cahiers de recherche 2003-07, Universite de Montreal, Departement de sciences economiques.
  7. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 2006-15, Universite de Montreal, Departement de sciences economiques.
    • BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  8. Blackorby, Charles & Donaldson, David & Weymark, John A, 1984. "Social Choice with Interpersonal Utility Comparisons: A Diagrammatic Introduction," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 327-56, June.
  9. Carlson, Erik, 1998. "Mere Addition and Two Trilemmas of Population Ethics," Economics and Philosophy, Cambridge University Press, vol. 14(02), pages 283-306, October.
  10. Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587, October.
  11. Hammond, Peter J, 1979. "Equity in Two Person Situations: Some Consequences," Econometrica, Econometric Society, vol. 47(5), pages 1127-35, September.
  12. Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
  13. Arrhenius, Gustaf, 2000. "An Impossibility Theorem for Welfarist Axiologies," Economics and Philosophy, Cambridge University Press, vol. 16(02), pages 247-266, October.
  14. Suzumura, Kotaro, 1976. "Rational Choice and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 43(1), pages 149-58, February.
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