How to gamble against all odds

Gilad Bavly and Ron Peretz

Games and Economic Behavior, 2015, vol. 94, issue C, 157-168

Abstract: We compare the power of betting strategies (aka martingales) whose wagers take values in different sets of reals. A martingale whose wagers take values in a set A is called an A-martingale. A set of reals B anticipates a set A, if for every A-martingale there is a countable set of B-martingales, such that on every binary sequence on which the A-martingale gains an infinite amount at least one of the B-martingales gains an infinite amount, too.

Keywords: Repeated games; Gambling; Algorithmic randomness; Pseudo-randomness; Predictability (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Date: 2015
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Working Paper: How to gamble against all odds (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:94:y:2015:i:c:p:157-168

DOI: 10.1016/j.geb.2015.10.006

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