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Approximate interpersonal comparisons of well-being

  • Pivato, Marcus

We propose a mathematical model of `approximate' interpersonal comparisons of well-being, in terms of an incomplete preorder over a space of `psychophysical states'. We argue that this model is consistent with people's intuitions about interpersonal comparisons, intertemporal preferences, and changes in psychological identity over time. We then construct several simple mathematical models to illustrate the versatility of this approach.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 25224.

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Date of creation: 20 Sep 2010
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Handle: RePEc:pra:mprapa:25224
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  1. Blackorby, Charles, 1975. "Degrees of Cardinality and Aggregate Partial Orderings," Econometrica, Econometric Society, vol. 43(5-6), pages 845-52, Sept.-Nov.
  2. YIlmaz, Özgür, 2008. "Utility representation of lower separable preferences," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 389-394, November.
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  6. Barrett, Martin & Hausman, Daniel, 1990. "Making Interpersonal Comparisons Coherently," Economics and Philosophy, Cambridge University Press, vol. 6(02), pages 293-300, October.
  7. Pivato, Marcus, 2010. "Aggregation of incomplete ordinal preferences with approximate interpersonal comparisons," MPRA Paper 25271, University Library of Munich, Germany.
  8. Michael Mandler, 2006. "Cardinality versus Ordinality: A Suggested Compromise," American Economic Review, American Economic Association, vol. 96(4), pages 1114-1136, September.
  9. Jaffray, Jean-Yves, 1975. "Semicontinuous extension of a partial order," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 395-406, December.
  10. Herden, G., 1989. "On the existence of utility functions ii," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 107-117, October.
  11. repec:cup:cbooks:9780521311830 is not listed on IDEAS
  12. Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
  13. Arrow, Kenneth J, 1977. "Extended Sympathy and the Possibility of Social Choice," American Economic Review, American Economic Association, vol. 67(1), pages 219-25, February.
  14. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
  15. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
  16. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, June.
  17. Herden, G., 1989. "Some lifting theorems for continuous utility functions," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 119-134, October.
  18. Lloyd S. Shapley & Manel Baucells, 1998. "Multiperson Utility," UCLA Economics Working Papers 779, UCLA Department of Economics.
  19. Donaldson, David & Weymark, John A., 1998. "A Quasiordering Is the Intersection of Orderings," Journal of Economic Theory, Elsevier, vol. 78(2), pages 382-387, February.
  20. Pivato, Marcus, 2010. "Risky social choice with approximate interpersonal comparisons of well-being," MPRA Paper 25222, University Library of Munich, Germany.
  21. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
  22. Herden, G., 1995. "On some equivalent approaches to Mathematical Utility Theory," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 19-31, February.
  23. Jack Stecher, 2008. "Existence of approximate social welfare," Social Choice and Welfare, Springer, vol. 30(1), pages 43-56, January.
  24. Marc Fleurbaey, 2007. "Social choice and the indexing dilemma," Social Choice and Welfare, Springer, vol. 29(4), pages 633-648, December.
  25. Herden, G., 1989. "On the existence of utility functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 297-313, June.
  26. Sen, Amartya K, 1972. "Interpersonal Comparison and Partial Comparability: A Correction," Econometrica, Econometric Society, vol. 40(5), pages 959, September.
  27. Robbins, Lionel [Lord], 1981. "Economics and Political Economy," American Economic Review, American Economic Association, vol. 71(2), pages 1-10, May.
  28. Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-72, October.
  29. Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
  30. Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
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