wanting robustness in macroeconomics

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    Urn A:

    10 red balls

    10 black balls

    Urn B:

    unknown fraction ofred and black balls

    Ellsberg defended a preference for Urn A

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    0.12 0.1 0.08 0.06 0.04 0.02 00

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    0.35

    0.4

    0.45

    0.5

    p()

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    5 10 15 20 25 30 35 40 45 500

    0.1

    0.2

    0.3

    0.4

    transitory d2

    tpart

    5 10 15 20 25 30 35 40 45 500

    0.1

    0.2

    0.3

    0.4

    permanent d1

    tpart

    5 10 15 20 25 30 35 40 45 500

    0.1

    0.2

    0.3

    0.4

    dt

    1975 1980 1985 1990 19951.5

    1

    0.5

    0

    0.5

    1

    1.5 Individual Components of the endowment processes

    persistent componenttransitory component

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    1975 1980 1985 1990 19951.5

    1

    0.5

    0

    0.5

    1

    1.5Individual Components of the filtered processes

    persistent componenttransitory component

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    1955 1960 1965 1970 1975 1980 1985 1990 1995 20004.2

    4.1

    4

    3.9

    3.8

    3.7Log Technology Shock Process

    1955 1960 1965 1970 1975 1980 1985 1990 1995 20000

    0.2

    0.4

    0.6

    0.8

    1

    Estimated Probability in Low State

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    0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 04

    3.8

    3.6

    3.4

    3.2

    3

    2.8

    2.6

    2.4

    = 0

    = .04

    = .085

    value

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    0 1 2 30

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    =

    = 10

    = 5

    0 1 2 30

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    =

    = 10

    = 5

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    0 1 2 3 4 5 6 7 80

    0.2

    0.4

    0.6

    0.8

    1

    response to t

    0 1 2 3 4 5 6 7 8

    0.2

    0.1

    0

    0.1

    0.2

    response to t

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    0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.50

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    0.35

    0.4

    FourPeriodMarketPriceofKnightianUncertainty

    Detection Error Probability

    HST

    HSWBenchmark

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