David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Orthodox Bayesian decision theory requires an agent’s beliefs representable by a real-valued function, ideally a probability function. Many theorists have argued this is too restrictive; it can be perfectly reasonable to have indeterminate degrees of belief. So doxastic states are ideally representable by a set of probability functions. One consequence of this is that the expected value of a gamble will be imprecise. This paper looks at the attempts to extend Bayesian decision theory to deal with such cases, and concludes that all proposals advanced thus far have been incoherent. A more modest, but coherent, alternative is proposed. Keywords: Imprecise probabilities, Arrow’s theorem.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
John C. Harsanyi (1983). Bayesian Decision Theory, Subjective and Objective Probabilities, and Acceptance of Empirical Hypotheses. Synthese 57 (3):341 - 365.
Alan Hájek & Michael Smithson (2012). Rationality and Indeterminate Probabilities. Synthese 187 (1):33-48.
Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane (2010). Coherent Choice Functions Under Uncertainty. Synthese 172 (1):157 - 176.
Joachim Hornung (1980). Carnap's Inductive Probabilities as a Contribution to Decision Theory. Theoretical Medicine and Bioethics 1 (3):325-367.
Patrick Maher (2010). Bayesian Probability. Synthese 172 (1):119 - 127.
Steffen Andersen, John Fountain, Glenn W. Harrison, Arne Risa Hole & E. Elisabet Rutström (2012). Inferring Beliefs as Subjectively Imprecise Probabilities. Theory and Decision 73 (1):161-184.
Adam Elga (2010). Subjective Probabilities Should Be Sharp. Philosophers' Imprint 10 (05).
Christophe Abraham & Jean-Pierre Daures (2000). Global Robustness with Respect to the Loss Function and the Prior. Theory and Decision 48 (4):359-381.
Added to index2009-01-28
Total downloads52 ( #64,645 of 1,725,611 )
Recent downloads (6 months)6 ( #110,407 of 1,725,611 )
How can I increase my downloads?