The Product of Capacities and Belief Functions
Capacities (monotone, non-additive set functions) have been suggested to describe situations of uncertainty. We examine the question of how to define the product of two independent capacities. In particular, for the product of two belief functions (totally monotone capacities), there is a unique minimal product belief function. This is characterized in several ways.
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|Date of creation:||May 1993|
|Publication status:||Published in: Mathematical Social Sciences, 1996, 32(2) pp 95-108|
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Lo, Kin Chung, 1996.
"Equilibrium in Beliefs under Uncertainty,"
Journal of Economic Theory,
Elsevier, vol. 71(2), pages 443-484, November.
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Levine's Working Paper Archive
7662, David K. Levine.
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- Itzhak Gilboa & David Schmeidler, 1989.
"Maxmin Expected Utility with Non-Unique Prior,"
- Hendon, Ebbe & Jacobsen, Hans JØrgen & Sloth, Birgitte & TranÆs, Torben, 1994. "Expected Utility with Lower Probabilities," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 197-216, March.
- Dow, James & Werlang, Sérgio Ribeiro da Costa, 1992.
"Nash equilibrium under knightian uncertainty: breaking-down backward induction,"
Economics Working Papers (Ensaios Economicos da EPGE)
186, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Dow James & Werlang Sergio Ribeiro Da Costa, 1994. "Nash Equilibrium under Knightian Uncertainty: Breaking Down Backward Induction," Journal of Economic Theory, Elsevier, vol. 64(2), pages 305-324, December.
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