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Aggregation of incomplete ordinal preferences with approximate interpersonal comparisons

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  • Pivato, Marcus

Abstract

We develop a model of preference aggregation where people's psychological characteristics are mutable (hence, potential objects of individual or social choice), their preferences may be incomplete, and approximate interpersonal comparisons of well-being are possible. Formally, we consider preference aggregation when individual preferences are described by an incomplete, yet interpersonally comparable, preference order on a space of psychophysical states. Within this framework we characterize three preference aggregators: the `Suppes-Sen' preorder, the `approximate maximin' preorder, and the `approximate leximin' preorder.

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  • Pivato, Marcus, 2010. "Aggregation of incomplete ordinal preferences with approximate interpersonal comparisons," MPRA Paper 25271, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:25271
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    References listed on IDEAS

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    1. Pivato, Marcus, 2010. "Risky social choice with approximate interpersonal comparisons of well-being," MPRA Paper 25222, University Library of Munich, Germany.
    2. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
    3. Fishburn, Peter C, 1974. "Impossibility Theorems without the Social Completeness Axiom," Econometrica, Econometric Society, vol. 42(4), pages 695-704, July.
    4. Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
    5. Marc Fleurbaey & Peter Hammond, 2004. "Interpersonally comparable utility," Post-Print hal-00247066, HAL.
    6. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
    7. Baucells, Manel & Shapley, Lloyd S., 2008. "Multiperson utility," Games and Economic Behavior, Elsevier, vol. 62(2), pages 329-347, March.
    8. Fine, Ben, 1975. "A Note on "Interpersonal Aggregation and Partial Comparability"," Econometrica, Econometric Society, vol. 43(1), pages 169-172, January.
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    10. Kevin W. S. Roberts, 1980. "Possibility Theorems with Interpersonally Comparable Welfare Levels," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 409-420.
    11. 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.
    12. Barthelemy, Jean-Pierre, 1982. "Arrow's theorem: unusual domains and extended codomains," Mathematical Social Sciences, Elsevier, vol. 3(1), pages 79-89, July.
    13. Sen, Amartya K, 1972. "Interpersonal Comparison and Partial Comparability: A Correction," Econometrica, Econometric Society, vol. 40(5), pages 959-959, September.
    14. 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.
    15. 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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    Cited by:

    1. Pivato, Marcus, 2010. "Risky social choice with approximate interpersonal comparisons of well-being," MPRA Paper 25222, University Library of Munich, Germany.
    2. Marcus Pivato, 2015. "Social choice with approximate interpersonal comparison of welfare gains," Theory and Decision, Springer, vol. 79(2), pages 181-216, September.
    3. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.

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    More about this item

    Keywords

    interpersonal comparisons; well-being; ordinal; maximin; leximin; egalitarian; Suppes-Sen; incomplete preference;
    All these keywords.

    JEL classification:

    • I30 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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