Added: 3 years ago
From: LearnFromANinja
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  • awesome video I'm taking econ next year and I'm glad I found that very interesting.

  • Is 2/2 a minimax solution? I did a tiny bit of "game theory" in an analysis of optimal control course and for some reason the essence of game theory -- for me -- has been boiled down into "choose the strategy that minimises your loss". So if both prisoners were rational, they'd choose 2/2.

    Eugh! I guess this is just the optimal solution.

  • The dilemma Nash equilibrium is easily made null by allowing for another external outcome that is worst that not cooperating,i.e, rat out. For example if one prisoner rats out, he and his family will be killed as retaliation.

  • My school actually made me watch this for a test..

  • Blazen, this IS an example of a Nash Equilibrium (at rat-rat), given that both players are playing their dominant strategy, and for either to unilaterally deviate from that position would result in a lesser outcome for that player.

  • WTF? HAhaha brilliant

  • LMAO nice swords.

  • DUUUUUUUUUUUude, thank you, watched like 12 videos and didnt understand shit, but its so easy actually. Thanks again mate, appreciated!!

  • the scene in the Dark Knight with the two ferries I think is reference to Nash's Prisoner's Dilemna.

  • man, thank u SOOOOOO much!!!!...u helped me out so much...now...if only u could help me with my Dyslexia...?

  • Every Criminal with aspirations of getting off light should watch this. lol

  • Every Criminal with aspirations of getting off light should watch this. lol

  • LOL you pulled the sword out of nowhere!

  • can you explain it but in spanish??

  • You sound like Ashton Kutcher.

  • wow nice and clear THxs!!!

  • Awesome video. Excellent presentation. One point, though:  I'm pretty sure John Nash is not the founder of Game Theory (6:20), John von Neumann is usually given this credit.

  • Indeed. The modern approach to game theory was introduced by von Neumann and Morgenstern in a publication from 1944, altough Nash was the first to introduce the concept of an equilibrium (1950).

  • Nash introduced the concept of equilibria in Non-Zero Sum games. von Neumann had already established the minimax theorem of equilibria for Zero Sum games in the 1920's.  FYI, I am not disagreeing with your statement, just filling it out a little more.

  • Agreed. The minimax theorem (from 1928, to be precise) you've mentioned was a crucial step to further development(s) in game theory (and that includes Nash's contribution as well).

    :)

  • pretty sure won a nobel prize for it. and every textbook/ lecture i've had about it it's been ol' jonny boy getting props.

  • @stephencavey

    Correct. John Nash is the founder of finding equilibrium strategies in simultaneous games with no DS called the "Nash Equilirium". Also this guy is wrong. This game goes NOT yield a Nash Equilibrium. That is only where an equilibrium point is yielded in a situation where there is NO dominant strategy that either player could take. This game obviously has a dominant strategy. Trust me on this one I have a masters degree in this shyt.

  • Cool! I esp. like your argument for playing up that's between 3:55 - 5:20.

    And nice indicators you have there, too! Scary, but nice. I've got to get one of those!

  • lmao ninja... nice

  • if both remain silent.. they both win... so that's actually the best strategy..

  • Ya but they are integregated in different rooms and they dont know if one will betray the other.

  • No, the best strategy for an individual is for you to rat your partner out, but your partner stay silent. Because then you only serve one year.

    No matter what your partner does, your best option is to rat him out.

  • yeah... but... if neither say anything,, than neither serve time.. so that is the best stratagem

  • great vid..thx nija master :XD!!

  • Badass video!

  • very nice.... it just solved my dam problem. thank you very much...

  • hey aren't you Michael Anuzis?

  • you rock man

  • If you say nothing, you can get no Jail time at all. And keep the money. :)

  • beautiful mind :)

  • This is genuinely awesome.

  • Aaaaaahahhahahaha. Oh man. This is funny, but thanks! We had a dilemma yesterday trying to figure this out. Thanks!

  • I learned the Prisoner's Dilemma, and it's actually a very simple model. I dealt with PD for several years, and not even one day I heard nothing about "upper probability".

    My point: the ninja professor is doing a fantastic job. If PD actually requires upper probability theory or techniques, it might be at a scholar level. I can see that the ninja's students just want to learn the basics.

  • The prisoners dilemna is very easy in terms of game theory...If you actually read a book on game theory...probability is very important. I suggest "Game Theory, A Nontechnical Introduction" Probability is the basis of all game theory.

    -Brandon

  • I beg to differ. Proability just rules some of the models in Game Theory (yes, I read a lot of books on GT before writing my first comment). Probability actually helps to shape up some models that are not determined by domination of strategies. Allow me to to recall the concept of "mixed strategiy" which serves well to fill the hole that appears when pure strategies are not enough to solve a problem. There are no mixed strategies (that is, probability based moves) in the Prisoner's Dilemma.

  • Exactly. I said the prisoners dilemna is "very easy in terms of game theory"...most other models of game theory revolve around probability as well as its applications...poker...

  • Great explanation. I'd just like to say that game theory is by no means an easy subject as it requires one to be comfortable with upper-level probability. However, you broke down this classic example in layman's terms and made it so that even everyone can understand. Again, great job and keep the videos coming!

  • this is anuzis

  • agreed

  • great stuff

  • The use of Wing Chun swords as pointers is brilliant :}

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