For various clarifications/proofs behind an Artificially Intelligent agent's reasoning process using Decision Theory.

Decision theory (or the theory of choice) is the study of the reasoning underlying an agent's choices. Decision theory can be broken into three branches: normative decision theory, which gives advice on how to make the best decisions, given a set of uncertain beliefs and a set of values; descriptive decision theory, which analyzes how existing, possibly irrational agents actually make decisions; and prescriptive decision theory, which tries to guide or give procedures on how or what we should do in order to make best decisions in line with the normative theory.

Decision Theory - Wikipedia

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