Exam 9: Decision Under Risk and Uncertainty

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Consider three gambles: A,B\mathrm{A}, \mathrm{B} , and C\mathrm{C} . Write out the Order Axiom using the " >> " notation.

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The order axiom is to choices under uncertainty as rationality is to choices under certainty.

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Consider two possible outcomes, a\mathrm{a} and b\mathrm{b} and a utility function over these two outcomes U(a,b)U(a, b) . What must be true about U(a,b)U(a, b) if the utility function is skew-symmetric?

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Decisions under risk have two components: preferences over outcomes and perceptions of probabilities.

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When trying to forecast the weather, a forecaster's situation is best described as Knightian risk.

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Ambiguity aversion occurs when individuals show a preference for gambles in which the outcome and the probabilities are known over those gambles for which they are unknown.

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A decision-maker has more information under Knightian risk than Knightian uncertainty.

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The heart of Bernoulli's solution to the Saint Petersburg paradox is

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Consider the three gambles presented in Table 9.1. What are the three conditions implied by regret aversion?

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The common outcome effect is an example of the violation of the independence Axiom.

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Which of the following scenarios describe a situation in which ambiguity is present?

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