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Social choice with approximate interpersonal comparisons of well-being

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  • Pivato, Marcus
Abstract
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.

Suggested Citation

  • Pivato, Marcus, 2009. "Social choice with approximate interpersonal comparisons of well-being," MPRA Paper 17060, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:17060
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    References listed on IDEAS

    as
    1. repec:ubc:bricol:90-03 is not listed on IDEAS
    2. Herden, G., 1989. "On the existence of utility functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 297-313, June.
    3. Herden, G., 1989. "Some lifting theorems for continuous utility functions," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 119-134, October.
    4. Fishburn, Peter C, 1974. "Impossibility Theorems without the Social Completeness Axiom," Econometrica, Econometric Society, vol. 42(4), pages 695-704, July.
    5. Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
    6. Marc Fleurbaey & Peter Hammond, 2004. "Interpersonally comparable utility," Post-Print hal-00247066, HAL.
    7. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    8. Herden, G., 1989. "On the existence of utility functions ii," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 107-117, October.
    9. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    10. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    11. Hausman,Daniel M. & McPherson,Michael S., 2006. "Economic Analysis, Moral Philosophy and Public Policy," Cambridge Books, Cambridge University Press, number 9780521608664, December.
    12. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    13. Fine, Ben, 1975. "A Note on "Interpersonal Aggregation and Partial Comparability"," Econometrica, Econometric Society, vol. 43(1), pages 169-172, January.
    14. Barthelemy, Jean-Pierre, 1982. "Arrow's theorem: unusual domains and extended codomains," Mathematical Social Sciences, Elsevier, vol. 3(1), pages 79-89, July.
    15. Sen, Amartya K, 1972. "Interpersonal Comparison and Partial Comparability: A Correction," Econometrica, Econometric Society, vol. 40(5), pages 959-959, September.
    16. Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
    17. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    18. Herden, G., 1995. "On some equivalent approaches to Mathematical Utility Theory," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 19-31, February.
    19. YIlmaz, Özgür, 2008. "Utility representation of lower separable preferences," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 389-394, November.
    20. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    21. Mongin, Ph., 1991. "Harsanyi's aggregation theorem: multi-profile version and unsettled questions," LIDAM Discussion Papers CORE 1991036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Michael Mandler, 2006. "Cardinality versus Ordinality: A Suggested Compromise," American Economic Review, American Economic Association, vol. 96(4), pages 1114-1136, September.
    23. Jack Stecher, 2008. "Existence of approximate social welfare," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 43-56, January.
    24. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    25. Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
    26. Manel Baucells & Rakesh K. Sarin, 2003. "Group Decisions with Multiple Criteria," Management Science, INFORMS, vol. 49(8), pages 1105-1118, August.
    27. E. Thompson, 1966. "A pareto optimal group decision process," Public Choice, Springer, vol. 1(1), pages 133-140, December.
    28. Sondermann, Dieter, 1980. "Utility representations for partial orders," Journal of Economic Theory, Elsevier, vol. 23(2), pages 183-188, October.
    29. Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
    30. Jaffray, Jean-Yves, 1975. "Semicontinuous extension of a partial order," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 395-406, December.
    31. 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.
    32. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    33. Prasanta K. Pattanaik & Yongsheng Xu, 2007. "Minimal relativism, dominance, and standard of living comparisons based on functionings," Oxford Economic Papers, Oxford University Press, vol. 59(2), pages 354-374, April.
    34. 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.
    35. Özgür Evren, 2008. "On the existence of expected multi-utility representations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 575-592, June.
    36. Trout Rader, 1963. "The Existence of a Utility Function to Represent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 229-232.
    37. 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.
    38. Hausman,Daniel M. & McPherson,Michael S., 2006. "Economic Analysis, Moral Philosophy and Public Policy," Cambridge Books, Cambridge University Press, number 9780521846295, September.
    39. Rubin Saposnik, 1983. "On evaluating income distributions: Rank dominance, the Suppes-Sen grading principle of justice, and Pareto optimality," Public Choice, Springer, vol. 40(3), pages 329-336, January.
    40. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    41. Barrett, Martin & Hausman, Daniel, 1990. "Making Interpersonal Comparisons Coherently," Economics and Philosophy, Cambridge University Press, vol. 6(2), pages 293-300, October.
    42. 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.
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    More about this item

    Keywords

    interpersonal comparisons of utility; interpersonal comparisons of well-being; social choice; social welfare; approximate egalitarian; approximate utilitarian; Suppes-Sen; utility representations of partial orders; utility representations of preorders;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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