Imprecise Probabilities and Unstable Betting Behaviour
نویسندگان
چکیده
منابع مشابه
Imprecise Probabilities
Consider the uncertainty about whether it will rain in Brisbane next weekend. A weather forecaster may be able to assess a precise probability of rain, such as 0.3285 . . . , although even an expert should feel uncomfortable about specifying a probability to more than one or two decimal places. Someone who has little information about the prospects for rain may be able to make only an imprecise...
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Decisions or inferences sometimes have to made in situations where substantive information about aspects of the problem are either lacking or conflicting. This is often handled by constructing a non-informative prior by appealing to principles such as indifference, maximum entropy, invariance, or maximizing missing information. Unfortunately these priors and the resulting posteriors may depend ...
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Bayesian advocates of expected utility maximization use sets of probability distributions to represent very different ideas. Strict Bayesians insist that probability judgment is numerically determinate even though the agent can represent such judgments only in imprecise terms. According to Quasi Bayesians rational agents may make indeterminate subjective probability judgments. Both kinds of Bay...
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In this paper we consider the dynamic process of race track betting. We show that there is a close connection between the dynamic race track betting process and the pari-mutuel method for constructing consensus of subjective probabilities considered in Eisenberg and Gale. This enables us to show that there exists a unique equilibrium point for the betting process. We further show that the dynam...
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An imprecise probability distribution is an instance of second-order uncertainty, that is, uncertainty about uncertainty, or uncertainty for short. Another instance is an imprecise possibility distribution. Computation with imprecise probabilities is not an academic exercise—it is a bridge to reality. In the real world, imprecise probabilities are the norm rather than exception. In large measur...
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ژورنال
عنوان ژورنال: Noûs
سال: 2016
ISSN: 0029-4624
DOI: 10.1111/nous.12148