Merton argues that Theorem 2.3 and Corollary 2.3 together imply that the existence of lotteries is inconsistent

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Merton argues that Theorem 2.3 and Corollary 2.3 together imply that the existence of lotteries is inconsistent with risk aversion.

(a) Explain.

(b) Use utility theory to explain why people buy lottery. [Hint: you may like to refer to Friedman and Savage (1948).]

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