The St. Petersburg “Paradox” concerns a betting situation in which a gambler’s fortune will be increased by $2 n if the first tail appears on the nth toss a fair coin. Nicholas Bernoulli introduced this problem in 1713 as a challenge to the then prevailing view that the fair price of a wager (the price at which one should be equally happy to buy or sell it) is equal to its expected monetary payoff.

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St. Petersburg Paradox, The

  • James M. Joyce

摘要

The St. Petersburg “Paradox” concerns a betting situation in which a gambler’s fortune will be increased by $2 n if the first tail appears on the nth toss a fair coin. Nicholas Bernoulli introduced this problem in 1713 as a challenge to the then prevailing view that the fair price of a wager (the price at which one should be equally happy to buy or sell it) is equal to its expected monetary payoff.