Updating non-additive probabilities-- a geometric approach
A geometric approach, analogous to the approach used in the additive case, is proposed to determine the conditional expectation with non- additive probabilities. The conditional expectation is then applied for (i) updating the probability when new information becomes available; and (ii) defining the notion of independence of non-additive probabilities and Nash equilibrium.
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- Gilboa, Itzhak & Lehrer, Ehud, 1991.
"The value of information - An axiomatic approach,"
Journal of Mathematical Economics,
Elsevier, vol. 20(5), pages 443-459.
- Itzhak Gilboa & Ehud Lehrer, 1991. "The Value of Information - An Axiomatic Approach," Post-Print hal-00753232, HAL.
- Itzhak Gilboa & Ehud Lehrer, 1989. "The Value of Information -- An Axiomatic Approach," Discussion Papers 835, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- David Schmeidler, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Levine's Working Paper Archive
7662, David K. Levine.
- Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
- Itzhak Gilboa & David Scheidler, 1993.
"Updating Ambiguous Beliefs,"
- Alain Chateauneuf & Jean-Yves Jaffray, 2008.
"Some Characterizations of Lower Probabilities and Other Monotone Capacities through the Use of Mobius Inversion,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
- Chateauneuf, Alain & Jaffray, Jean-Yves, 1989. "Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 263-283, June.
- Itzhak Gilboa, 1989. "Additivizations of nonadditive measures," Post-Print hal-00481660, HAL.
- Sarin, Rakesh & Wakker, Peter P, 1998.
"Revealed Likelihood and Knightian Uncertainty,"
Journal of Risk and Uncertainty,
Springer, vol. 16(3), pages 223-250, July-Aug..
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