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Social choice with approximate interpersonal comparisons of well-being

  • Pivato, Marcus

Some social choice models assume that precise interpersonal comparisons of utility (either ordinal or cardinal) are possible, allowing a rich theory of distributive justice. Other models assume that absolutely no interpersonal comparisons are possible, or even meaningful; hence all Pareto-efficient outcomes are equally socially desirable. We compromise between these two extremes, by developing a model of `approximate' interpersonal comparisons of well-being, in terms of an incomplete preorder on the space of psychophysical states. We then define and characterize `approximate' versions of the classical egalitarian and utilitarian social welfare orderings. We show that even very weak assumptions about interpersonal comparability can yield preorders on the space of social alternatives which, while incomplete, are far more complete than the Pareto preorder (e.g. they select relatively small subsets of the Pareto frontier as being `socially optimal'). Along the way, we give sufficient conditions for an incomplete preorder to be representable using a collection of utility functions. We also develop a variant of Harsanyi's Social Aggregation Theorem.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 17060.

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Date of creation: 01 Sep 2009
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Handle: RePEc:pra:mprapa:17060
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  1. Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
  2. Jaffray, Jean-Yves, 1975. "Semicontinuous extension of a partial order," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 395-406, December.
  3. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
  4. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.
  5. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
  6. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  8. Sen, Amartya K, 1972. "Interpersonal Comparison and Partial Comparability: A Correction," Econometrica, Econometric Society, vol. 40(5), pages 959, September.
  9. 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.
  10. Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
  11. Mongin, P., . "Harsanyi's aggregation theorem: multi-profile version and unsettled questions," CORE Discussion Papers RP -1153, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
  13. Jack Stecher, 2008. "Existence of approximate social welfare," Social Choice and Welfare, Springer, vol. 30(1), pages 43-56, January.
  14. Juan Dubra & Fabio Maccheroni & Efe Oki, 2001. "Expected utility theory without the completeness axiom," ICER Working Papers - Applied Mathematics Series 11-2001, ICER - International Centre for Economic Research.
  15. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
  16. E. Thompson, 1966. "A pareto optimal group decision process," Public Choice, Springer, vol. 1(1), pages 133-140, December.
  17. Barrett, Martin & Hausman, Daniel, 1990. "Making Interpersonal Comparisons Coherently," Economics and Philosophy, Cambridge University Press, vol. 6(02), pages 293-300, October.
  18. Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
  19. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  20. YIlmaz, Özgür, 2008. "Utility representation of lower separable preferences," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 389-394, November.
  21. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October.
  22. Herden, G., 1989. "On the existence of utility functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 297-313, June.
  23. 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.
  24. Sondermann, Dieter, 1980. "Utility representations for partial orders," Journal of Economic Theory, Elsevier, vol. 23(2), pages 183-188, October.
  25. repec:ubc:bricol:90-03 is not listed on IDEAS
  26. Herden, G., 1989. "Some lifting theorems for continuous utility functions," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 119-134, October.
  27. Fishburn, Peter C, 1974. "Impossibility Theorems without the Social Completeness Axiom," Econometrica, Econometric Society, vol. 42(4), pages 695-704, July.
  28. Barthelemy, Jean-Pierre, 1982. "Arrow's theorem: unusual domains and extended codomains," Mathematical Social Sciences, Elsevier, vol. 3(1), pages 79-89, July.
  29. Herden, G., 1995. "On some equivalent approaches to Mathematical Utility Theory," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 19-31, February.
  30. Özgür Evren, 2008. "On the existence of expected multi-utility representations," Economic Theory, Springer, vol. 35(3), pages 575-592, June.
  31. 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.
  32. Herden, G., 1989. "On the existence of utility functions ii," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 107-117, October.
  33. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
  34. Michael Mandler, 2006. "Cardinality versus Ordinality: A Suggested Compromise," American Economic Review, American Economic Association, vol. 96(4), pages 1114-1136, September.
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