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Volumn 105, Issue 1, 2008, Pages 5-36

Is ignorance bliss?
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EID: 65849424902     PISSN: 0022362X     EISSN: 19398549     Source Type: Journal    
DOI: 10.5840/jphil200810518     Document Type: Review
Times cited : (31)

References (29)
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    • Howard Raiffa and Robert Schlaifer, Applied Statistical Decision Theory (Graduate School of Business Administration, Harvard University, Division of Research, 1961).
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  • 4
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    • When Normal and Extensive Form Decisions Differ
    • Dag Prawitz, Brian Skyrms, and Dag Westerstahl, eds. New York: Elsevier, for in-depth discussion of how normal and extensive form decision problems differ
    • See Teddy Seidenfeld, "When Normal and Extensive Form Decisions Differ," in Dag Prawitz, Brian Skyrms, and Dag Westerstahl, eds., Logic, Methodology and Philosophy of Science IX (New York: Elsevier, 1994), pp. 451-63, for in-depth discussion of how normal and extensive form decision problems differ.
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    • Seidenfeld, T.1
  • 5
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    • Savage, New York: Wiley
    • Savage, The Foundations of Statistics (New York: Wiley, 1954), p. 170.
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    • Minimax, Information, and Ultrapessimism
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    • Parmigiani, "Minimax, Information, and Ultrapessimism," Theory and Decision, XXXIII (1992): 241-52.
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  • 7
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    • Using Finitely Additive Probability: Uniform Distributions on the Natural Numbers
    • See Joseph B. Kadane and Anthony O'Hagan, "Using Finitely Additive Probability: Uniform Distributions on the Natural Numbers," Journal of the American Statistical Association, XC (1995): 626-31
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 626-631
    • Kadane, J.B.1    O'Hagan, A.2
  • 8
    • 34547183412 scopus 로고    scopus 로고
    • Finitely Additive Distributions on the Natural Numbers: Shift Invariance
    • also Oliver Schirokauer and Kadane, "Finitely Additive Distributions on the Natural Numbers: Shift Invariance," Journal of Theoretical Probability, XX, 3 (2007): 429-41.
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    • Schirokauer, O.1    Kadane2
  • 12
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    • Wien outcomes are cast in terms of a (statistical) loss function, the rule is then Γ-Minimax: rank options by their maximum expected risk and choose an option whose maximum expected risk is minimum
    • Wien outcomes are cast in terms of a (statistical) loss function, the rule is then Γ-Minimax: rank options by their maximum expected risk and choose an option whose maximum expected risk is minimum.
  • 13
    • 0001266334 scopus 로고
    • Maxmin Expected Utility with Non-Unique Prior
    • This decision rule was given a representation in terms of a binary preference relation over Anscombe-Aumann horse lotteries by Itzhak Gilboa and David Schmeidler, "Maxmin Expected Utility with Non-Unique Prior," Journal of Mathematical Economics, XVIII (1989): 141-53
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    • On Indeterminate Probabilities
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    • Levi's decision theory is lexicographic, in which the first consideration is E-admissibility, followed by other considerations, for example, what he calls a Security Index. Here, we attend solely to E-admissibility
    • Levi's decision theory is lexicographic, in which the first consideration is E-admissibility, followed by other considerations, for example, what he calls a Security Index. Here, we attend solely to E-admissibility.
  • 19
    • 19744377518 scopus 로고    scopus 로고
    • Savage, section 7. 2. Savage's analysis of the decision problem depicted by his Figure 1, and his rejection of option b, p. 124 is the key point
    • Savage, op. cit., section 7. 2. Savage's analysis of the decision problem depicted by his Figure 1, p. 123, and his rejection of option b, p. 124 is the key point.
    • The Enterprise of Knowledge , pp. 123
  • 20
    • 0003649050 scopus 로고
    • Walley, New York: Chapman and Hall. There is, for our discussion here, a minor difference with Walley's formulation of maximality involving null-events. Walley's notion of maximality requires, also, that an admissible gamble be classically admissible, that is, not weakly dominated with respect to state-payoffs
    • Walley, Statistical Reasoning with Imprecise Probabilities (New York: Chapman and Hall, 1990). There is, for our discussion here, a minor difference with Walley's formulation of maximality involving null-events. Walley's notion of maximality requires, also, that an admissible gamble be classically admissible, that is, not weakly dominated with respect to state-payoffs.
    • (1990) Statistical Reasoning with Imprecise Probabilities
  • 21
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    • Ordinal Preferences and Rational Choice
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    • Herzberger, "Ordinal Preferences and Rational Choice," Econometrica, XLI (1973): 187-234.
    • (1973) Econometrica , vol.41 , pp. 187-234
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    • Social Choice Theory: A Re-Examination
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    • Sen, "Social Choice Theory: A Re-Examination," Econometrica, XLV (1977): 53-89.
    • (1977) Econometrica , vol.45 , pp. 53-89
  • 25
    • 79956818716 scopus 로고    scopus 로고
    • When Normal and Extensive Form Decisions Differ
    • Seidenfeld
    • See Seidenfeld, "When Normal and Extensive Form Decisions Differ" (op. cit.).
    • Econometrica
  • 26
    • 79956834128 scopus 로고    scopus 로고
    • One Family's Story: A Quandry over Genetic Testing
    • Feldman
    • Feldman, "One Family's Story: A Quandry over Genetic Testing," Houston Chronicle (2003), http://www. johnworldpeace. com/e030112e. htm.
    • (2003) Houston Chronicle
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    • Markets and Freedoms: Achievements and Limitations of the Market Mechanism in Promoting Individual Freedoms
    • Sen, on p. 522
    • Sen, "Markets and Freedoms: Achievements and Limitations of the Market Mechanism in Promoting Individual Freedoms," Oxford Economic Papers, XLV (1993): 519-41, on p. 522.
    • (1993) Oxford Economic Papers , vol.45 , pp. 519-541
  • 28
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    • What we say here about conditional probability is not restricted to indicator random variables, which we use for simplicity of exposition only
    • What we say here about conditional probability is not restricted to indicator random variables, which we use for simplicity of exposition only.
  • 29
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    • The Demons of Decision
    • Levi
    • Levi, "The Demons of Decision," The Monist, LXX (1987): 193-211.
    • (1987) The Monist , vol.70 , pp. 193-211


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