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.
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.
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.
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).
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.
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.
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!
awesome video I'm taking econ next year and I'm glad I found that very interesting.
thumm99 1 month ago
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.
okaytom 2 months ago
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.
TemplarX2 2 months ago
My school actually made me watch this for a test..
HipxBarbiexIvonne 3 months ago
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.
bejugo 10 months ago
WTF? HAhaha brilliant
Beriaal 10 months ago
LMAO nice swords.
saintkid23 1 year ago
DUUUUUUUUUUUude, thank you, watched like 12 videos and didnt understand shit, but its so easy actually. Thanks again mate, appreciated!!
ricavato 1 year ago
the scene in the Dark Knight with the two ferries I think is reference to Nash's Prisoner's Dilemna.
Lovecraft365 1 year ago
man, thank u SOOOOOO much!!!!...u helped me out so much...now...if only u could help me with my Dyslexia...?
MrReng09 1 year ago
Every Criminal with aspirations of getting off light should watch this. lol
911crackdaddy 1 year ago
Every Criminal with aspirations of getting off light should watch this. lol
911crackdaddy 1 year ago
LOL you pulled the sword out of nowhere!
DazzTyler 1 year ago 3
can you explain it but in spanish??
jpfg89 1 year ago
You sound like Ashton Kutcher.
ebw0812 1 year ago
wow nice and clear THxs!!!
Johnfong1986 1 year ago
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.
stephencavey 1 year ago 8
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).
Albimar17 1 year ago
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.
stephencavey 1 year ago
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).
:)
Albimar17 1 year ago
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.
westaux999 1 year ago
@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.
Blazen1212 1 year ago
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!
Albimar17 2 years ago
lmao ninja... nice
fabeuno 2 years ago
if both remain silent.. they both win... so that's actually the best strategy..
kutthroat84 2 years ago
Ya but they are integregated in different rooms and they dont know if one will betray the other.
gilbert4321 2 years ago
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.
SlaydenLentz 1 year ago
yeah... but... if neither say anything,, than neither serve time.. so that is the best stratagem
kutthroat84 1 year ago
great vid..thx nija master :XD!!
richyn2 2 years ago
Badass video!
b1gr1g 2 years ago
very nice.... it just solved my dam problem. thank you very much...
saintromes 2 years ago
hey aren't you Michael Anuzis?
bbq06 2 years ago 9
you rock man
flashbeat 2 years ago
If you say nothing, you can get no Jail time at all. And keep the money. :)
cjunk351 2 years ago
beautiful mind :)
fairenoughalmost 2 years ago 3
This is genuinely awesome.
youdoxie 2 years ago
Aaaaaahahhahahaha. Oh man. This is funny, but thanks! We had a dilemma yesterday trying to figure this out. Thanks!
cmletamendi 3 years ago
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.
daedalusomega 3 years ago
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
AnthonyFamiglietti 2 years ago
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.
daedalusomega 2 years ago
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...
AnthonyFamiglietti 2 years ago
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!
JLack84 3 years ago
this is anuzis
lashanaw 3 years ago
agreed
lordennis01 2 years ago
great stuff
gooseman19871987 3 years ago
The use of Wing Chun swords as pointers is brilliant :}
Destalt 3 years ago 2