Why the same person buys both insurance and a lottery ticket

Standard economics assumed people are consistently risk-averse, which explains insurance but not gambling. In 1948, Milton Friedman and Leonard Savage proposed a utility function shaped like an S: risk-averse over most of someone's wealth range, but briefly risk-seeking at a point where a small bet offers a shot at a whole new standard of living.

— Milton Friedman & Leonard J. Savage, The Utility Analysis of Choices Involving Risk — Journal of Political Economy, 1948

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