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Consider the utility u(x) = x. Consider a gamble which gives A euros with probability p and B >A euros with probability (1 p). This

Consider the utility u(x) = x. Consider a gamble which gives A euros with probability p and B >A euros with probability (1 p). This gambler's expected value is pA + (1 p)B euros. Show graphically and explain that u(x) is a risk-averse utility, i.e. u(pA + (1 p)B) >pu(A) + (1 p)u(B) for any A, B and p

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