The role of irrational number switching strategy in the Parrondo's Paradox game

Parrondo’s paradox is a paradox in game theory. According to original formulation of Parrondo’s paradox، two separate losing games can be combined to win via a random or periodic strategy. In this paper the role of irrational numbers (e، and Feigenabum constant) as a new switching strategy for combination of two losing games on Parrondo’s paradox was investigated and the effects of this new strategy on the final gain of Parrondo’s paradox was compared to random strategy. Results showed that the highest final gain of Parrondo’s paradox is related to the “e” switching strategy.