Parrondo's Paradox

PARRONDOS PARADOX IN CAPITAL INDEPENDENT GAMES victimisation CHAOTIC MAP GENERATORS ANKUR GUPTA INDIAN INSTITUTE OF SCIENCE bringing up AND RESEARCH Abstract. This report investigates the di?erent e?ects of chaotic switching on Parrondos games,as comp atomic number 18d to random and periodic switching.The rate of winning of Parrondos games with chaotic switching depends on coe?cient(s) de?ning the chaotic generator.Then we welcome also investigated the di?erent effect of chaotic switching on capital independent parrondos games.The results obtained is same as that for capital dependent games when played with chaotic switching. INTRODUCTION 1. Parrondos Paradox The main desire of Parrondos paradox is that two individually losing games can be combined to win via deterministic or non-deterministic mixing of the games.

The pilot light Parrondos games are de?ned as below: Game A : consists of a biased coin that has a luck p of winning, Game B : consists of 2 games,the condition of choosing either matchless of the games is given as below: C mod M =0 play a biased coin that has probability p1 of winning, C mod M = 0 play a biased coin that has probability p2 of winning. For the original Parrondos games ,the parameters are set as below: M = 3, p = 1/2 ? , p1 = 1/10 ? , p2 = 3/4 ? . We have taken = .005 Capital independent games : In this type of game,Game A remains the same But a game B,which depends on the history of the games and losses of the player,is introduced.Game B is played with iv coins. Date: November 21,2008. 1 2 ANKUR GUPTA INDIAN INSTITUTE OF SCIENCE education AND RESEARCH One dimensional chaotic generators: Logistic map xn+1 = axn (1 ? xn ) Tent map xn+1 = {axn if xn If you want to get a full essay, order it on our website: Ordercustompaper.com

Ordercustompaper.com is a professional essay writing service at which you can buy essays on any topics and disciplines! All custom essays are written by professional writers!