A New Approach to Modeling Decision-Making under Uncertainty and Defining Subjective Probabilities
This paper presents axiomatic models of decision making under uncertainty that avoid the use of a state space. The models are (a) general subjective expected utility theory with action-dependent subjective probabilities and effect-dependent utilities (the cases of effect-independent preferences and effect-independent valuations are obtained as special instances) and (b) a nonexpected utility theory involving well-defined families of action-dependent subjective probabilities on effects and utility representation that is not necessarily linear in these probabilities (a probabilistic sophistication version of this model, with action-dependent subjective probabilities is obtained as a special case)
|Date of creation:||May 2005|
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- Machina Mark J. & Schmeidler David, 1995.
"Bayes without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice,"
Journal of Economic Theory,
Elsevier, vol. 67(1), pages 106-128, October.
- Mark J. Machina & David Schmeidler, 1994. "Bayes Without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Discussion Papers 1088, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Karni, Edi, 2006. "Subjective expected utility theory without states of the world," Journal of Mathematical Economics, Elsevier, vol. 42(3), pages 325-342, June.
- Edi Karni, 2005. "Subjective Expected Utility Theory without States of the World," Economics Working Paper Archive 523, The Johns Hopkins University,Department of Economics.
- Grant, Simon, 1995. "Subjective Probability without Monotonicity: Or How Machina's Mom May Also Be Probabilistically Sophisticated," Econometrica, Econometric Society, vol. 63(1), pages 159-189, January.
- Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
- Mark J. Machina & David Schmeidler, 1990. "A More Robust Definition of Subjective Probability," Discussion Paper Serie A 306, University of Bonn, Germany.
- Machina,Mark & Schmeidler,David, 1991. "A more robust definition of subjective probability," Discussion Paper Serie A 365, University of Bonn, Germany.
- Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- Itzhak Gilboa & David Schmeidler, 1989. "Maxmin Expected Utility with Non-Unique Prior," Post-Print hal-00753237, HAL.
- Karni, Edi, 1993. "A Definition of Subjective Probabilities with State-Dependent Preferences," Econometrica, Econometric Society, vol. 61(1), pages 187-198, January. Full references (including those not matched with items on IDEAS)
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