A trichotomy of attitudes for decision-making under complete ignorance
We study decision criteria under complete ignorance, that is, when there is no available information regarding plausible probability distributions over the possible outcomes. We characterize the set of criteria satisfying quasi-transitivity, Savage's independence, duplication, a strong version of dominance and scale invariance. Only three criteria satisfy these requirements. These criteria are the well-known protective criterion, its dual criterion which we call hazardous, and a neutral criterion which is the composition of both (a decision is strictly preferred according to this criterion to another one if both the protective and the hazardous criteria strictly prefer the former).
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- Gilboa, Itzhak & Schmeidler, David, 1989.
"Maxmin expected utility with non-unique prior,"
Journal of Mathematical Economics,
Elsevier, vol. 18(2), pages 141-153, April.
- Toulet, Claude, 1986. "Complete ignorance and independence axiom: Optimism, pessimism, indecisiveness," Mathematical Social Sciences, Elsevier, vol. 11(1), pages 33-51, February.
- Cohen, Michele & Jaffray, Jean-Yves, 1980. "Rational Behavior under Complete Ignorance," Econometrica, Econometric Society, vol. 48(5), pages 1281-1299, July.
- Bossert, W., 1996.
"Uncertainty Aversion in Nonprobabilistic Decision Models,"
9609, University of Waterloo, Department of Economics.
- Bossert, Walter, 1997. "Uncertainty aversion in nonprobabilistic decision models," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 191-203, October.
- Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
- Barbara, Salvador & Jackson, Matthew, 1988. "Maximin, leximin, and the protective criterion: Characterizations and comparisons," Journal of Economic Theory, Elsevier, vol. 46(1), pages 34-44, October.
- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Econometric Society, vol. 57(3), pages 571-587, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
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