Aggregating sets of von Neumann–Morgenstern utilities
We analyze the preference aggregation problem without the assumption that individuals and society have fully determined and observable preferences. More precisely, we endow individuals and society with sets of possible von Neumann–Morgenstern utility functions over lotteries. We generalize the classical Pareto and Independence of Irrelevant Alternatives axioms and show they imply a generalization of the classical neutrality assumption. We then characterize the class of neutral social welfare functions. This class is considerably broader for indeterminate than for determinate utilities, where it basically reduces to utilitarianism. We finally characterize several classes of neutral social welfare functions for indeterminate utilities, including the utilitarian and “multi-utilitarian” classes.
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- Gil Kalai & Ariel Rubenstein & Ran Spiegler, 2001.
"Rationalizing Choice Functions by Multiple Rationales,"
Economics Working Papers
0010, Institute for Advanced Study, School of Social Science.
- Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
- Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Discussion Paper Series dp278, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- 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.
- 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.
- Juan Dubra & Fabio Maacheroni & Efe A. Ok, 2001. "Expected Utility Theory without the Completeness Axiom," Cowles Foundation Discussion Papers 1294, Cowles Foundation for Research in Economics, Yale University.
- Green, Jerry & Hojman, Daniel, 2007. "Choice, Rationality and Welfare Measurement," Working Paper Series rwp07-054, Harvard University, John F. Kennedy School of Government.
- d'Aspremont, Claude & Gevers, Louis, 1977.
"Equity and the Informational Basis of Collective Choice,"
Review of Economic Studies,
Wiley Blackwell, vol. 44(2), pages 199-209, June.
- d'ASPREMONT, Claude & GEVERS, Louis, . "Equity and the informational basis of collective choice," CORE Discussion Papers RP -350, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Philippe Mongin, 2001. "A note on mixture sets in decision theory," Decisions in Economics and Finance, Springer, vol. 24(1), pages 59-69, 05.
- Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-77, May.
- Blau, Julian H, 1971. "Arrow's Theorem with Weak Independence," Economica, London School of Economics and Political Science, vol. 38(152), pages 413-20, November.
- Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001.
"Representing Preferences with a Unique Subjective State Space,"
Econometric Society, vol. 69(4), pages 891-934, July.
- Eddie Dekel, 1997. "A Unique Subjective State Space for Unforeseen Contingencies," Discussion Papers 1202, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- Sen, Amartya K, 1977. "On Weights and Measures: Informational Constraints in Social Welfare Analysis," Econometrica, Econometric Society, vol. 45(7), pages 1539-72, October.
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