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A consumer has a von Neumann-Morgenstern utility function of the form U(cA, cB, pA, pB) = pAv(cA) + pBv(cB), where pA and pB are the probabilities of events A and B and where cA and cB are consumptions contingent on events A and B respectively. This consumer must be a risk lover if v is an increasing function.
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