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Researchers Create a Statistical Guide To Gambling

New submitter yukiloo writes "An early Christmas treat for the ordinary Joe who is stuck with a Christmas list that he cannot afford and is running out of time comes from two mathematicians (Evangelos Georgiadis, MIT, and Doron Zeilberger, Rutgers) and a computer scientist (Shalosh B. Ekhad). In their paper 'How to gamble if you're in a hurry,' they present algorithmic strategies and reclaim the world of gambling, which they say has up till recently flourished on the continuous Kolmogorov paradigm by some sugary discrete code that could make us hopefully richer, if not wiser. It's interesting since their work applies an advanced version of what seems to be the Kelly criterion."

21 of 185 comments (clear)

  1. Do you even bother to edit submissions anymore? by questioner · · Score: 5, Interesting

    Half this submission makes no sense, grammatically or otherwise.

    1. Re:Do you even bother to edit submissions anymore? by Anonymous Coward · · Score: 5, Informative

      No, he's complaining about the grammar, punctuation, and the irrelevance of the opening Christmas nonsense. He's not complaining about the math. A better summary made without even reading the article:

      Evangelos Georgiades of MIT and Doron Zeilberger and Shalosh Ekhad of Rutgers have published a paper entitled, "How to Gamble, If You're in a Hurry." They consider previous work on gambling flawed because of theoreticians' reliance on the continuous Kolmogorov paradigm. Instead, they propose that money is not infinitely divisible and that its use in gambling is therefore better described by different algorithmic strategies involving what seems to be an advanced version of the Kelly criterion.

      Ideas are nice, and math is beautiful, but clear English is necessary to convey information. The summary did not do that well.

    2. Re:Do you even bother to edit submissions anymore? by AK+Marc · · Score: 5, Insightful

      Are you an American, by any chance? I'm asking in all seriousness. Just because this submission makes no sense to you doesn't mean that it makes no sense to the rest of the world.

      "Interesting since they their work applies an advanced version of what seems to be the Kelly criterion."

      I think there was the mix of unusual concepts with the grammatically incorrect sentences that made it horrible editing. Usually, I'm annoyed that they link so many words to Wikipedia or such, but in this case, there was no linking anything to anything, other than the one article, and the description given in the submission is not proper English. So the complaints on editing are quite accurate. Or are you asserting that the quoted sentence above is proper English?

      It's likely just that you were never exposed to what's actually pretty basic and common knowledge throughout the rest of the world.

      You were too focused on being an ass that you missed the complaint about grammar being the primary one. Perhaps it would have been more approachable if it were properly edited. And no, they aren't "basic and common knowledge throughout the rest of the world." I'm in "the rest of the world" right now, and the first 5 people I asked about them never heard of any of them (couldn't even name the field they related to). So you are wrong on every point, and quite the ass about it as well.

    3. Re:Do you even bother to edit submissions anymore? by Ravon+Rodriguez · · Score: 4, Insightful

      You can have the most brilliant ideas in the world, but if you convey them like an uneducated buffoon then that's exactly what you will appear to be. Proper grammar may be optional in casual conversation (LOL wuzzup d00d), but in a setting where the conveyance of knowledge is the primary goal you should strive to do your ideas justice by relating them in an intelligent way.

      --
      Jesus loves me, he loves me a bunch, because he always puts Jiffy in my lunch.
    4. Re:Do you even bother to edit submissions anymore? by Dogtanian · · Score: 4, Informative

      Haters gonna hate.

      Bad idea to start with this overused cliche, which makes anyone spouting it sound like a tedious, unimaginative, bandwagon-jumping, meme-spouting 14-year-old trying to put across an unconvincing display of dismissive confidence, as well as being an obviously lame attempt at not actually addressing the original criticism.

      Frankly, we'd be quite justified in not bothering to read the rest of what you said on the basis of those first three words of cliched drivel. But anyway...

      Where people reside and make their contributions is ultimately the most important factor. Look at Einstein and how he was driven away from Germany and made all his contributions in America.

      If, by "made all his contributions in America" you're implying that we have America to thank for all his work (including his most important), then you're absolutely wrong. The theories of special and general relativity were all written decades before he emigrated to the US.

      That aside, not saying that I entirely disagree with what you said in general; ths US *has* been a valuable incubator for the creativity of foreign academics during the 20th century, which has arguably been to its own significant benefit.

      --
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    5. Re:Do you even bother to edit submissions anymore? by retchdog · · Score: 5, Informative

      i'm an american & i've taken graduate-level measure theory and statistics. the phrase "continuous kolmogorov paradigm" is just wonky. the first thing one thinks of is the kolmogorov complexity, which is pretty much the opposite of "continuous," both in utility and intent. so, the phrase is probably referring instead to the standard modern sigma-field measure theoretic approach. however, this measure theory still has no problem (in principle, at least; actually proving things is of course another matter) dealing with discrete or finite outcomes!

      now, i've read the paper, and i see that the authors in fact use (almost) this language in their emotional conclusion. that is their right, since they have done the work. moreover, they have a good point imho, that "hard core" proofs in probability theory are often sterile and irrelevant to the real world. however, this kind of thing should be cleaned up for a general audience.

      --
      "They were pure niggers." – Noam Chomsky
  2. Well.... by jd · · Score: 4, Interesting

    The news story posted on Slashdot not that long ago on a casino successfully suing a gambler of all his winnings because the machine's system for preventing you from winning wasn't working tells me that the only paradigm in use is "give us your money... or else!"

    --
    It's a small world and it smells funny; I'd buy another if it wasn't for the money; Take back what I paid (SoM)
    1. Re:Well.... by Galestar · · Score: 4, Informative

      Oh I found some more
      http://news.slashdot.org/story/10/06/05/1828218/malfunction-costs-couple-11-million-slot-machine-jackpot
      http://yro.slashdot.org/story/11/01/06/2246234/man-arrested-for-exploiting-error-in-slot-machines

      These casinos pay the politicians in their states a lot of money to allow them to continue ripping people off. It's the american way!

      --
      AccountKiller
  3. Conclusions by Anonymous Coward · · Score: 5, Interesting

    The three authors completely agree on the mathematics, but they have somewhat different views about the
    significance of this project. Here they are.

    Evangelos Georgiadis’ Conclusion
    We provided a playful yet algorithmic glimpse to a field that has up till recently flourished on the Kolmogorov,
    measure-theoretic paradigm [as evidenced by the work of Dubins and Savage [4] (see [7] for more recent
    developments]. The advent and omnipresence of computers, however, ushered an era of symbol crunching
    and number crunching, where a few lines of code can give rise to powerful algorithms. And it is the ouput
    of algorithms that usually provides insight (and inspiration) for conjectures and theorems. Those, in turn,
    can then be proven in their respective measure-theoretic settings. Additionally, a computational approach
    lends itself easily to more complex scenarios that would otherwise be considered pathological phenomena
    (and would be fiendishly time-consuming to prove – even for immortals like Kolmogorov and von Neumann).

    Doron Zeilberger’s Conclusion
    Traditional mathematicians like Dubins and Savage use traditional proof-based mathematics, and also work
    in the framework of continuous probability theory using the pernicious Kolmogorov, measure-theoretic, par-
    adigm. This approach was fine when we didn’t have computers, but we can do so much more with both
    symbol-crunching and number-crunching, in addition to naive simulation, and develop algorithms and write
    software, that ultimately is a much more useful (and rewarding) activity than “proving” yet-another-theorem
    in an artificial and fictional continuous, measure-theoretic, world, that is furthermore utterly boring.

    Shalosh B. Ekhad’s Conclusion
    These humans, they are so emotional! That’s why they never went very far.

  4. Not a Useful Guide by Anonymous Coward · · Score: 5, Informative

    The paper is about how much to bet (your strategy) on a given round if you have x dollars and want to win N dollars. This is problematic for two reasons.

    First, their method only works when the probability of winning is >0.5, which never happens in any real casino.

    Second, almost nobody really bets this way. Most people don't go to a casino looking to win N dollars. Instead, they go to the casino hoping to play for time T without losing more than N dollars (although people might not be up front about that goal).

    Another problem is that they assume that the probabiilty is constant with each round. That's true for some games (roulette), but not for others (blackjack).

    1. Re:Not a Useful Guide by Tacvek · · Score: 4, Informative

      Yeah. The title of the paper is a bit misleading.

      They are studying the case of some betting game with a fixed probability of winning p (with p>1/2) and a fixed 1:1 payout, using a discrete model of money, with no maximum bet, a minimum bet of $1, and all bets being constrained to a multiple of $1.

      It is already known that if you enter with x dollars and you have a target amount of N, your best strategy is to always bet the minimum. Needless to say always betting the minimum can take forever, so even under this very unlikely set of circumstances, you would not want to actually follow that strategy.

      So instead they introduce a round limit T, and introduce software that solves the relevant dynamic programming recurrence determine what you should bet given the probability p, your current balance x', your desired amount N, and the remaining number of rounds until the loan shark kills you T'.

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  5. Re:Conclusion by fsckmnky · · Score: 4, Interesting

    Your summary accurately describes the definition of gambling as opposed to investing.

    Gambling is placing money at risk with an expectation of loss.
    Investing is placing money at risk with an expectation of gain.

    I hope I'm not the only one who finds it odd that the state lotteries they sold the public by claiming "The funds will benefit education" would put themselves out of business if people were actually learning math. ;)

  6. Note about Ekhad by werdnam · · Score: 5, Interesting

    I'm not sure if the original submitter had his tongue in cheek by describing the co-author Ekhad as a "computer scientist." Just in case he didn't, note that Shalosh B. Ekhad is actually Zeilberger's computer. Since most of Zeilberger's research depends heavily on computations, and (I think) as a nod to some of his philosophical positions, Zeilberger usually lists his computer as a coauthor on his papers. So I guess Ekhad is a computer scientist, but not quite in the way we usually mean. :)

    1. Re:Note about Ekhad by Anonymous Coward · · Score: 5, Informative

      shalosh b. ekhad is Hebrew for 3-in-1

  7. Re:Conclusion by DreadPiratePizz · · Score: 4, Insightful

    You don't have to be bad at math to play the lottery. A buck for a ticket is a small price to pay for the entertainment you get when the numbers come up. Especially if your friends play, it can be a social event when the numbers are announced.

  8. Shalosh B. Ekhad by slasho81 · · Score: 4, Interesting
    Shalosh B. Ekhad is not a person. From Wikipedia:

    Zeilberger is known for crediting his computer "Shalosh B. Ekhad" as a co-author ("Shalosh" and "Ekhad" mean "Three" and "One" in Hebrew respectively, referring to the AT&T 3B1 model).

  9. Re:Conclusion by NFN_NLN · · Score: 4, Funny

    If you derive pleasure from losing money, send me $20 and I'll respond with an email telling you whether or not you won $40. ;)

    Are you referring to the upcoming Facebook IPO, or is this a new scam of your own creation :)

  10. Re:Conclusion by TrekkieGod · · Score: 4, Interesting

    You don't have to be bad at math to play the lottery. A buck for a ticket is a small price to pay for the entertainment you get when the numbers come up. Especially if your friends play, it can be a social event when the numbers are announced.

    Well, honestly, you play correctly. If you're not actually expecting to win, but you find some entertainment in sitting there with your friends waiting for the numbers to come up, more power to you. I don't think you represent the majority, though. I think most of the people playing the lottery are people who spend money that they could actually use for more practical things, in the hope of moving up from poverty. I don't have numbers to back this feeling up, but I do see those local news stories every time the jackpot goes up into the $200 million range with poor schmoes buying hundreds of dollars worth of tickets. Congratulations, dude: you just increased your odds of winning from nearly impossible to still nearly impossible.

    The above is not an argument against the lottery, btw. I don't think the government should be in the business of protecting people from their own bad decisions. It is, however, an argument for better public education. People would make less bad decisions if they had the tools to analyze a situation better.

    --

    Warning: Opinions known to be heavily biased.

  11. No kidding by Sycraft-fu · · Score: 4, Insightful

    My guide to making the most money gambling: Don't.

    In any casino the odds are always, ALWAYS stacked against you. They don't hide this fact, either. The odds are published and you can easily notice that the payout is less than the probability of getting something. They are in business to make money, it has to be this way or they'd go broke.

    So don't gamble to make money. If you enjoy the thrill of it, if it entertains you, and you can afford it, then by all means. But don't try and find some way to gamble "quickly" that will make you money because it won't. Any money made is purely luck and your strategy of what you bet on will play very little in to it.

    Play the game for enjoyment.

  12. Re:Conclusion by garyebickford · · Score: 4, Funny

    Actually, I would argue that "giving blowjobs to whoever passes by", done in the right location, would arguably have a much higher chance of earning significant money. :P

    --
    It's easier to be a result of the past, but more fun to be a cause of the future! http://www.spacefinancegroup.com/
  13. All that work... by AlienSexist · · Score: 4, Insightful

    All of this effort and brainpower to produce a guide that might as well say "Don't gamble"