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Q 4. Consider any fixed mount of money x and a positive number e, the probability premium denoted by O(x, e, u), is the excess

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Q 4. Consider any fixed mount of money x and a positive number e, the probability premium denoted by O(x, e, u), is the excess in winning probability over a fair gamble with outcomes (x + e), (x - e) that makes the person indifferent between the gamble and certain outcome x. Here u (.) is the Bernoulli utility function on amounts of money. Then argue that the facts [(i) The decision maker is risk averse.] and [(ii) Vx, e; @(x, e, w) > 0.] are equivalent

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