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clear all
close all
edge=0.99;
for kk=2:98
player_percent=.01*kk;
house_percent=1-player_percent
house_odds=1/((edge/player_percent)-1)
kelly2(kk)=(house_percent*(house_odds+1)-1)/house_odds
end
plot(kelly2)
clear all;
percent=.98;
edge=0.99;
payout=1/percent*edge;
number_of_rolls_per_trial=100000;
bankroll=zeros(1,number_of_rolls_per_trial);
bankroll(1)=1;
bankroll(number_of_rolls_per_trial)=0;
number_of_trials=1;
for test=1:100
kelly=0.001*test;
for yy=1:number_of_trials
for kk=1:number_of_rolls_per_trial
maxwin=kelly*bankroll(kk);
wagered=maxwin/(payout-1);
roll=rand;
if roll > percent
bankroll(kk+1)=bankroll(kk)+wagered;
else
bankroll(kk+1)=bankroll(kk)-maxwin;
end
end
last(yy)=bankroll(end);
end
out(test)=(sum(last)/number_of_trials-bankroll(1))/bankroll(1);
end
semilogy([0.001:.001:.1],out)
xlabel('MaxWin as Ratio of Bankroll')
ylabel('Ratio of ending to Initial Bankroll')