Munich Personal RePEc Archive

The St. Petersburg paradox: an experimental solution

Da Silva, Sergio and Matsushita, Raul (2015): The St. Petersburg paradox: an experimental solution. Published in: Physica A , Vol. 4, No. 445 (2016): pp. 66-74.


Download (431kB) | Preview


The St. Petersburg paradox refers to a gamble of infinite expected value, where people are likely to spend only a small entrance fee for it. There is a huge volume of literature that mostly concentrates on the psychophysics of the game; experiments are scant. Here, rather than focusing on the psychophysics, we offer an experimental, “physical” solution as if robots played the game. After examining the time series formed by one billion plays, we: confirm that there is no characteristic scale for this game; explicitly formulate the implied power law; and identify the type of -stable distribution associated with the game. We find an and, thus, the underlying distribution of the game is a Cauchy flight, as hinted by Paul Samuelson.

Logo of the University Library LMU Munich
MPRA is a RePEc service hosted by
the University Library LMU Munich in Germany.