Parrondo's Paradox applied to Roulette

[simon]

I have been studying Parrondo's Paradox.  If you are not familiar with it you can Google the subject and find many many articles that explain it and confirm that a physicist found that by alternating between two long term losing systems (no shortage of those), a long term winning system was produced.  The invention, research and applications of Parrondo's Paradox go way beyond gaming (involving controlling randomness by creating a "ratchet" effect on a molecular level) but for our purposes I will explain the gaming application in simple terms.

We have two simple coin tossing games.  Player will bet "Heads" and win one unit when Heads comes up and lose one unit when Tails comes up.

The coins are not fair coins and each of the two games has a negative expectation.

GAME 1

One coin (Coin A) is tossed that will deliver Heads slightly less than 50% of the time, so player loses long term.

GAME 2

Two coins are tossed, one coin (Coin B) will deliver Heads 75% of the time and one coin (Coin C) will deliver Tails 90% of the time.  Coin B the favorable coin can only be tossed when bankroll is not divisible by 3, and Coin C the unfavorable coin has to be tossed when bankroll is divisible by 3.  When bankroll is not multiple of 3 player has 3 in 4 chance to win and 1 in 4 chance to lose; when bankroll is multiple of 3 player has 1 in 10 chance to win and 9 in 10 chance to lose.   

Example:  Starting bankroll is 100 units, player tosses Coin B and wins, bankroll 101, player tosses Coin B again and wins, bankroll 102 divisible by 3 so player must now toss Coin C and loses, bankroll 101, toss Coin B and win, bankroll 102, toss Coin C and lose (eventually this pattern gets broken and if Game 2 is played long enough it becomes no longer true that bankroll is divisible by 3 just a third of the time and Game 2 also becomes a long term loser.)

Parrondo found and apparently proved as confirmed by many studies, that by alternating between these two games (even randomly, but optimally by playing each game twice in a row back and forth) that over the course of 50,000 runs of 100 tosses each, the simulations showed a trend for substantial gains, because a "ratchet" like effect is achieved by alternating between the two games that keeps the profits moving higher.

It was said in many of the articles that unfortunately these games cannot be duplicated at the casino, mainly because we don't have the bets that give the player a 75% advantage (no you cannot use two dozens because you can only win or lose one unit each bet) or a bet that gives the player a 90% disadvantage (the two bets required for Game 2.)  However it seems to me we can come close, as follows.

Obviously for Game 1 we can use any of the even chances.  For Game 2 a bet that favors the player by 75% is used about every 3 times, and the unfavorable bet where the player only has a 10% chance is played the other times.  So if we add 75 + 75 + 75 -90 and divide by 4 we come up with an average bet where the player has a 33.75% chance to win, and certainly this is pretty close to betting one dozen (33.33%).

So my proposal for a system that duplicates Parrondo's Paradox is to bet one of the evens twice in a row and then bet one of the dozens twice in a row.

I did test this on 450 real spins (choosing to stick with just one color and one dozen throughout) and the results were, shall we say, less than spectacular.

Now I have a question for anyone who feels they have a handle on Parrondo's Paradox-- I want to know why the way I have changed it a little for our purposes at Roulette won't work, perhaps not as well, but at least slightly well (when his similar gaming strategy did)?  And/or, does anyone see a way to tweak the system better for Roulette, so it more closely duplicates Parrondo's games?

[Tangram]

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[simon]

Thanks Tangram, I understand now why it won't work to try and combine the two bets in Game 2 into one bet (and I guess it can't work to substitute a 2-dozen bet for the 75% bet in Game 2 and a one dozen bet for the 10% bet in Game 2 and play as prescribed by the bankroll.)  Well it's too bad there is no way to take advantage of the "ratchet effect" that Parrondo discovered by alternating between 2 losing systems, we certainly have a lot of those.

[bikemotorman]

Wow that sounds very cool but how can it be used to win.

Stuart

[simon]

Wow that sounds very cool but how can it be used to win.

Stuart

well Stuart, if you would read my original post above and/or Google Parrando's Paradox, you would see that this scientist was able to show that two specific games that would lose long term when played individually on their own, would in fact produce profits when played together.  but unfortunately I cannot find a way to play any casino game in the same way that these two specific games (described above) were played (you could sort of duplicate the 75% positive bet by covering most of the numbers, but ofcourse you would lose that bet enough times so it wouldn't work.)

[Rocky]

Hi simon

What you say here is absolutely correct!

To tweak it, the secret lies in how you apply a money management system that works for this.

To give you a "hint" think about what is happening with 'even chance bets' like red/black, odd/even etc.
When one side is losing the other side is winning, by structuring a money management system that takes advantage of that, and that wins on both sides at the same time, (hint a staggered progression for both sides, but not the same for each) you'll have a very awesome system indeed. (Pretty close to the grail really). This info will guide you in the right direction simon.

P.S. we can all learn from one another, I learned what you described had a name, "Parrondo's Paradox".

[cheese]

Isn't this called 'differential betting', when you bet both sides at once with different progressions? I thought it had been proven to be a loser. Nice to hear they were wrong.

[Rocky]

cheese

I love to say that to my kids "smell the cheese" you know with closed hand on the flat of the other, ready for them to smell it. Anyway a bit of fun "cheese".

It depends on how think and use your imagination. 'Differential Betting' ? I would say there would have to be many different variations and they would probably run to infinity. So with that in mind, some variations may have been proven losers as you say, but until all have been tested and proven that way, to make a sweeping statement to say, you thought they were proven to be losers, IS NOT CORRECT.

If you think you can, you will achieve anything, and if you think you can't, you're right also. It just depends on what you believe. I BELEIVE if you persist long enough you will solve any challenge.

I gave many clues in my previous post, to guide his thinking in the right direction to help solve simon's problem. It's now up to simon to apply and test, until he comes to a favourable outcome. Was it Edison who tested 1000 different ways till he hit upon the solution and Colonel Sanders who got 1000+ no's till he got a yes and then became a Millionare late in his life with his recipe. You know I've been studying Roulette since 2001, sometimes it takes time, too many people want the answer now, (instant gratification) without doing the work to get it.

Cheese, don't be like others who give up so easily, or listen to hearsay and believe it as truth until you have analysed, researched and questioned it as far as its validity and prove it to be TRUE, then you can speak with authority on the matter.

You know cheese it has been proven, to master any skill or subject you must put 10,000 hours in!
If you spend 1hr a day for 27 years+ you will reach your 10,000 hours, if you put in 8 hours a day, you'll reach it in just over 3 years.

It makes sense, a University student who's determined to do well will achieve great results in the 3 years that it takes to do his/her Uni degree. I know I am already over my 10,000 hours in studying Roulette and that's why I replied to simon, in that, I recognised his frustration in trying to solve something that looked (and is) solvable.
If he approaches it with the info I have given him, applying his imagination and brain power to the problem I believe he will solve it. It just depends on whether you're willing to pay the price TO ACHIEVE SUCCESS.

[WannaWin]

@Rocky

Thank you for your post.

It's good to know at least the direction already taken by someone whom has been successful.

We appreciate your desire to share.

WannaWin

[Rocky]

Thanks WannaWin

All my Best to you and simon

Rocky

[bikemotorman]

I thought victor tried using two different progressions on red and black.
From what I remember red had one progression black had some other progerssion.

Stuart

[toby]

Some time ago I sent several e-mails to Professor Parrondo to clear some conclusions he had.

Any question can be sent his e-mail address parrondo@fis.ucm.es, he is Spanish, do not know if he answers in english.

For more information in this matter I can provide the letters and questions I made to the Professor and his answers via e-mail or PM.

He didn't clarify the matter at all, the last bunch of questions remained unanswered.

I doubt of Parrond's Paradox investigation.

[betatester]

Hello forum
@Toby... hhhummm. you simple don't know a jota over what are you talking about.
Another member (thanks @tangram) has answer your "mental" problem in this thread.
You simple couldn't apply this discovery on casino games.
Punto.
But you can't stand with it, and you, full of arrogant ignorance, you prefer to shot some mug over a respectable professor that his only "mistake" is not to reply some of your "bright" questions to him...

You look so stupid.

<<< "if he answers in english" >>>

what do you think a brillant investigator works on...
which is his normal language to publish his discoverys, to work every day...?
you look so racist just because he is Spanish (he born and works and lives in the kingdom of Spain)
or because the idea that you have about a "spanish" person
Wich is your level in spanish = 0.
But then again you go with the fan of s**t...

<<<"I doubt of Parrond's Paradox investigation.">>>

I've built a simple excel (I would not attach it this time because I've lost it... it comes from 8 or 10 ago...) and applying strictely Parrond's rules I'can reproduced the movement of this brownian motor.
But unfortunately you can't apply the idea on any casino game... is that simple.

Furthermore, even if I've found it I wouldn't attached in this post, just because I'would never help to an arrogant stupid person has you.

Your worst friend  
Betatester.

[Marven]

I am off this forum.

@Admin: Feel free to delete my account, thanks.

[bombus]

I have cleaned this thread up a bit.

C'mon guys, a bit of a joke here and there is always appreciated, but persistent disruption of threads is not welcome.


@ Marven,

Please don't go!


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@betatester,

I will let your last post stand, but please keep it civil in future.

Thank you.

[bombus]

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