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Published byEustace Carr Modified over 6 years ago
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Problem A.27 $3000 to gather information Under a favorable market
$15,000 for large $5,000 for small Unfavorable Lose $20,000 for large, -$10,000 for small Good prediction: 50% Favorable market: 70% with no info Favorable market: 90% with good report Favorable market: 40% with bad report
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Gather 1 Don’t Gather
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Gather 1 Don’t Gather 3 Sm. Lg.
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Gather 1 Don’t Gather 3 Sm. + 6 Lg. - + 7 -
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R+ Gather 2 R- 1 Don’t Gather 3 Sm. + 6 Lg. - + 7 -
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4 2 5 1 3 6 7 Sm. Lg. R+ Sm. Gather R- Lg. Don’t Gather Sm. + Lg. - +
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8 9 4 10 2 5 1 11 3 6 7 + - Sm. + - Lg. R+ + Sm. - Gather R- + Lg. -
Don’t Gather - 3 Sm. + 6 Lg. - + 7 -
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8 9 4 10 2 5 1 11 3 6 7 + - Sm. + - Lg. R+ + Sm. - Gather R- + Lg. -
Don’t Gather - 3 Sm. + 5 6 Lg. - -10 + 7 15 - -20
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+ 2 8 -13 - Sm. + 12 9 4 - -23 Lg. R+ 2 + Sm. 10 - -13 Gather 2 5 R- 1 Lg. + 12 11 - -23 Don’t Gather 3 Sm. + 5 6 Lg. - -10 + 7 15 - -20
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0.9 + 2 8 0.1 -13 - Sm. + 12 0.9 9 4 0.1 - -23 Lg. R+ 2 0.4 + 0.5 Sm. 10 0.6 - -13 0.5 Gather 2 5 R- 1 Lg. + 12 0.4 11 0.6 - -23 Don’t Gather 3 Sm. 0.7 + 5 6 Lg. 0.3 - -10 + 7 0.7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. + 12 0.9 9 4 0.1 - -23 Lg. R+ 2 0.5 0.4 + Sm. 10 0.6 - -13 0.5 Gather 2 5 R- 12 1 Lg. + 0.4 11 -23 Don’t Gather 0.6 - 3 Sm. 0.7 + 5 6 Lg. 0.3 - -10 + 7 0.7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. + 12 8.5 0.9 9 4 0.1 - -23 Lg. R+ 2 -7 + 0.5 0.4 Sm. 10 0.6 - -13 0.5 Gather 2 5 R- -9 1 Lg. + 12 0.4 11 -23 Don’t Gather 0.6 - 3 Sm. 0.7 + 5 6 Lg. 0.3 - -10 0.7 + 7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. 8.5 + 12 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 0.5 0.4 + Sm. 10 0.6 0.5 - -13 Gather 2 5 R- -9 12 1 Lg. + 0.4 11 Don’t Gather 0.6 - -23 3 Sm. 0.7 + 5 6 Lg. 0.3 - -10 + 7 0.7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. + 12 8.5 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 0.4 + 0.5 Sm. 10 0.6 - -13 0.5 Gather 2 5 R- -9 + 12 1 Lg. 0.4 11 -23 Don’t Gather 0.6 - 3 Sm. -3 0.7 + 5 Do nothing 6 Lg. 0.3 - -10 + 7 0.7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. 8.5 + 12 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 + 0.5 0.4 Sm. 10 -3 0.6 0.5 - -13 Gather 2 5 R- 1 Lg. -9 + 12 0.4 11 0.6 - -23 Don’t Gather 3 Sm. -3 0.7 + 5 Do nothing 6 Lg. 0.3 - -10 + 7 0.7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. 8.5 + 12 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 0.4 + 0.5 2.75 Sm. 10 -3 0.6 - -13 0.5 Gather 2 5 R- Lg. -9 + 12 1 0.4 11 0.6 - -23 Don’t Gather 3 Sm. -3 0.7 + 5 Do nothing 6 Lg. 0.3 - -10 7 0.7 + 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. + 12 8.5 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 0.5 0.4 + 2.75 Sm. 10 -3 0.6 - -13 0.5 Gather 2 5 R- -9 1 Lg. + 12 0.4 11 Don’t Gather 0.6 - -23 3 Sm. 0.5 -3 0.7 + 5 Do nothing 6 Lg. 0.3 - -10 4.5 0.7 + 7 15 0.3 - -20
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0.5 0.9 + 2 8 0.1 -13 - Sm. 12 8.5 + 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 0.5 0.4 + 2.75 Sm. 10 -3 0.6 0.5 - -13 Gather 2 5 R- 12 1 Lg. -9 + 0.4 11 4.5 Don’t Gather 0.6 - -23 3 Sm. 0.5 -3 0.7 + 5 Do nothing 6 Lg. 0.3 - -10 4.5 7 0.7 + 15 0.3 - -20
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8 9 4 10 2 5 1 11 3 6 7 0.5 0.9 + 2 Answer: Don’t Gather & Build Large
0.1 -13 - Sm. + 12 8.5 0.9 8.5 9 4 0.1 - -23 Lg. R+ 2 -7 0.5 0.4 + 2.75 Sm. 10 -3 0.6 -13 0.5 - Gather 2 5 4.5 R- -9 12 1 Lg. + 0.4 11 4.5 -23 Don’t Gather 0.6 - 3 Sm. 0.5 -3 0.7 + 5 Do nothing 6 Lg. 0.3 - -10 4.5 + 7 0.7 15 0.3 - -20
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