- Statist. Sci.
- Volume 14, Number 2 (1999), 206-213.
We introduce Parrondo's paradox that involves games of chance. We consider two fair gambling games, A and B, both of which can be made to have a losing expectation by changing a biasing parameter $\epsilon$. When the two games are played in any alternating order, a winning expectation is produced, even though A and B are now losing games when played individually. This strikingly counterintuitive result is a consequence of discretetime Markov chains and we develop a heuristic explanation of the phenomenon in terms of a Brownian ratchet model. As well as having possible applications in electronic signal processing, we suggest important applications in a wide range of physical processes, biological models, genetic models and sociological models. Its impact on stock market models is also an interesting open question.
Statist. Sci., Volume 14, Number 2 (1999), 206-213.
First available in Project Euclid: 24 December 2001
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Harmer, G. P.; Abbott, D. Parrondo's paradox. Statist. Sci. 14 (1999), no. 2, 206--213. doi:10.1214/ss/1009212247. https://projecteuclid.org/euclid.ss/1009212247