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Aggregation of incomplete ordinal preferences with approximate interpersonal comparisons

  • Pivato, Marcus

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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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 25271.

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Date of creation: 21 Sep 2010
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Handle: RePEc:pra:mprapa:25271
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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. Lloyd S. Shapley & Manel Baucells, 1998. "Multiperson Utility," UCLA Economics Working Papers 779, UCLA Department of Economics.
  3. Barthelemy, Jean-Pierre, 1982. "Arrow's theorem: unusual domains and extended codomains," Mathematical Social Sciences, Elsevier, vol. 3(1), pages 79-89, July.
  4. Amartya Sen, 1996. "Maximization and the Act of Choice," Harvard Institute of Economic Research Working Papers 1766, Harvard - Institute of Economic Research.
  5. 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.
  6. Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
  7. Sen, Amartya K, 1972. "Interpersonal Comparison and Partial Comparability: A Correction," Econometrica, Econometric Society, vol. 40(5), pages 959, September.
  8. Michael Mandler, 2006. "Cardinality versus Ordinality: A Suggested Compromise," American Economic Review, American Economic Association, vol. 96(4), pages 1114-1136, September.
  9. Fishburn, Peter C, 1974. "Impossibility Theorems without the Social Completeness Axiom," Econometrica, Econometric Society, vol. 42(4), pages 695-704, July.
  10. Blackorby, Charles, 1975. "Degrees of Cardinality and Aggregate Partial Orderings," Econometrica, Econometric Society, vol. 43(5-6), pages 845-52, Sept.-Nov.
  11. Roberts, Kevin W S, 1980. "Possibility Theorems with Interpersonally Comparable Welfare Levels," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 409-20, January.
  12. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
  13. 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.
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