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Bayesian Decision Theory and the Representation of Beliefs | The Federmann Center for the Study of Rationality

Bayesian Decision Theory and the Representation of Beliefs

Abstract:

In this paper, I present a Bayesian decision theory and define choice-based subjective probabilities that faithfully represent Bayesian decision makers prior and posterior beliefs regarding the likelihood of the possible effects contingent on his actions. I argue that no equivalent results can be obtained in Savage s (1954) subjective expected utility theory and give an example illustrating the potential harm caused by ascribing to a decision maker subjective probabilities that do not represent his beliefs.

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