Conditional belief and plausibility functions

Models for pessimistic or optimistic decisions under different uncertain scenarios

In many decision problems under uncertainty, agents are only able to provide a possibly
incomplete preference relation on gambles, that can be “irrational” according to the
classical expected utility paradigm. Furthermore, agents can find it easier to express
their preference relation taking one or more specific scenarios as hypothesis. In order to
handle these situations two betting scheme rationality conditions are introduced, which
characterize those preference relations representable by a conditional Choquet expected

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