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Rational Choice Using Imprecise Probabilities and Utilities
Introduction
An agent often does not have precise probabilities or utilities to guide resolution of a decision problem. I advance a principle of rationality for making decisions in such cases.
Representation of States
To begin, I represent the doxastic and conative state of an agent with a set of pairs of a probability assignment and a utility assignment.
Decision Principle
Then I support a decision principle that allows any act that maximizes expected utility according to some pair of assignments in the set.
Considerations on Computation
Assuming that computation of an option's expected utility uses comprehensive possible outcomes that include the option's risk, no consideration supports a stricter requirement.