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Suppose there are four lotteries: 1, 2, 3, and 4. Each lottery features the same state-contingent payoffs (i.e.,X1,s=X2,s=X3,s=X4,s=Xsfor alls), although the probability distributions (indicated byf(X1,s),f(X2,s),f(X3,s),
Suppose there are four lotteries: 1, 2, 3, and 4. Each lottery features the same state-contingent payoffs (i.e.,X1,s=X2,s=X3,s=X4,s=Xsfor alls), although the probability distributions (indicated byf(X1,s),f(X2,s),f(X3,s), andf(X4,s)) are all different from each other, as shown in the table below:
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