Actual value in decision theory

Analysis 82 (4):617-629 (2022)
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Abstract

Decision theory is founded on the principle that we ought to take the action that has the maximum expected value from among actions we are in a position to take. But prior to the notion of expected value is the notion of the actual value of that action: roughly, a measure of the good outcomes you would in fact procure if you were to take it. Surprisingly many decision theories operate without an analysis of actual value. I offer a definition of actual value, and show that a form of decision theory due to Stalnaker can be reformulated so as to be in line with the edict to maximize expected value. By contrast, I show that there is no quantity — given by my definition or otherwise — that plays the role of actual value in Jeffrey's decision theory.

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Andrew Bacon
University of Southern California

Citations of this work

Counterfactual Decision Theory.Brian Hedden - 2023 - Mind 132 (527):730-761.
Jeffrey imaging revisited.Melissa Fusco - 2023 - Analysis 83 (3):447-464.
Accurate Updating.Ginger Schultheis - forthcoming - Philosophy of Science.

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References found in this work

Knowledge and Its Limits.Timothy Williamson - 2000 - Philosophy 76 (297):460-464.
A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
Knowledge and its Limits.Timothy Williamson - 2000 - Tijdschrift Voor Filosofie 64 (1):200-201.
The Foundations of Statistics.Leonard J. Savage - 1954 - Synthese 11 (1):86-89.

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