First-Order Stochastic Dominance. A distribution F(x) is said to first-order dominate distributionG(x) if F(x) G(x) for all

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First-Order Stochastic Dominance. A distribution F(x) is said to first-order dominate distributionG(x) if F(x) ·G(x) for all x and F(x) ÇG(x) for at least one x. Showthe following proposition:

F stochastically dominates G if and only if every utility maximizer with increasing utility in X prefers outcome X » F over outcome X »G.

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