On Subjective Probability and Expected Utilities
نویسندگان
چکیده
منابع مشابه
Convergence of Expected Utilities with Algorithmic Probability Distributions
We consider an agent interacting with an unknown environment. The environment is a function which maps natural numbers to natural numbers; the agent's set of hypotheses about the environment contains all such functions which are computable and compatible with a finite set of known input-output pairs, and the agent assigns a positive probability to each such hypothesis. We do not require that th...
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The expected utility (EU) hypothesis was originally formulated to be used with specified or “objective” probabilities. Objectively expected utility is the subject of Chapter 5. Not all uncertainty, however, can be described by a specified or objective probability distribution. The pioneering work of Frank Ramsey (1926) and Bruno de Finetti (1937, 1949) demonstrated how, under certain assumption...
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This paper re-examines two major concerns about the validity of Pascal's Wager: (1) The classical von Neumann-Morgenstern Theorem seems to contradict the rationality of maximising expected utility when the utility function's range contains in nite numbers (McClennen 1994). (2) Apparently, the utility of salvation cannot be re exive under addition by real numbers (which Pascal's Pensée 233 deman...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1972
ISSN: 0003-4851
DOI: 10.1214/aoms/1177692556