David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Social Epistemology 23 (3):347-360 (2011)
This paper focuses on one matter that poses a problem for both human judges and standard probability frameworks, namely the assumption of a unique (privileged) and complete partition of the state-space of possible events. This is tantamount to assuming that we know all possible outcomes or alternatives in advance of making a decision, but it is clear that there are many practical situations in prediction, diagnosis, and decision-making where such partitions are contestable and/or incomplete. The paper begins by surveying the impact of partitions on the choice of priors in formal probabilistic updating frameworks, and on human subjective probability judgements. That material is followed by an overview of strategies for dealing with partition dependence, including considerations of how a rational agent's preferences may determine the choice of a partition.
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References found in this work BETA
Glenn Shafer (1976). A Mathematical Theory of Evidence. Princeton University Press.
Michael Smithson (2006). Scale Construction From a Decisional Viewpoint. Minds and Machines 16 (3):339-364.
Peter Walley (1996). Inferences From Multinomal Data: Learning About a Bag of Marbles (with Discussion). Journal of the Royal Statistical Society Series B 58:3-57.
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