The Role of Three Irrational Numbers PI,Neper and Feigenbaum Constant as a New Switching Strategies in the Parrondos Paradox
Parrondos paradox is a paradox in game theory that is inspired by the mechanical properties of ratchets.According to original formulation of Parrondos 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,π and Feigenabum constant δ ) as a new switching strategy for combination of two losing games on Parrondos paradox was investigated and the effects of this new strategy on the final gain of Parrondos paradox was compared to random strategy.Results showed that the highest final gain of Parrondos paradox is related to the e switching strategy and also except for random switching strategy,digit 5 causes the maximum final gain in all strategies.
Game theory Complexity analysis Feigenbaum constant
Ehsan tahami M.R Hashemi Golpaygani
Biomedical Engineering Department Islamic Azad University-Science and Research Branch Tehran,Iran Biomedical Engineering Department Amirkabir University of Technology Tehran,Iran
国际会议
重庆
英文
291-295
2010-09-17（万方平台首次上网日期，不代表论文的发表时间）