Game Theory

[Culturealimprovement]

There is more to this scene. Clint gives a small nod of his head towards Tuco. Faking the impression of cooperation. Lee observes this nod and when Lee turns to check Tucos reaction to Clints nod Clint shoots lee.

[DCdabest]

My version of Game Theory:

"In theory, this clip's music would make a great boss fight track."

[12345austinwilliams]

CLint has an informational advantage over eli and lee. normally the nash equilibrium in this game is for each player to fire at each of the other two players with probability 0.5. But with clint's informational advantage - and knowledge of the belief profiles of eli and lee - clint should always fire at lee. since both eli and lee will fire at clint with probability 0.5 (eli with no bullets), clint has only a 50% chance of being shot at with a real bulklet (instead of a 75%). Go Clint!

[lahlmj04]

H-O-V-A, i got my mojo back baby, o behave

[vanderbilt887]

Nice ;-)

[hero3bash]

haha..wild arms music

[megafuerza]

Enio Morricone!!...the best of the best!!!. For Game theory the best example is "Batman, The Dark Knight". Greetings from Colombia!!

[abuabu41]

Game Theory is nothing but an attempt to turn common sense into a science.

[zx6rtt]

BOOOOO

you left out the most epic part....

[hairyhoff]

what's teh name of the song/composttion- it's not the one in the film or as i remember it

[toribaltimore]

L'estasi dell'oro (The Ecstasy of Gold), Ennio Morricone

[hero3bash]

@hairyhoff it's a music from a wild west game Wild Arms, not sure the title though

[ikonhart]

"The good, the bad and the ugly" this movie is a classic...

[jimgeeland]

clint unloads eli's gun, eli does not know this, eli is no longer a threat to clint, lee does not know that eli's gun is unloaded, lee considers both clint and eli as threats, eli considers both clint and lee as threats, clint has the advantage and considers only lee as a threat, ergo clint shoots lee.

[ApiaryManager]

Although Clints actions are certain, the others aren't. They both have an equal chance of shooting Clint

[jimgeeland]

clint unloads eli's (tuco's) gun, advantage clint.

[ApiaryManager]

ok. but what if Lee had seen Clint as the greater threat and tried to shoot him first? Isn't that just a 1 on 1 duel (even though Lee might be distracted by the potential threat from Eli)?

[jimgeeland]

clint unloads eli's gun the night before, lee is not in that scene, but i don't think clint is overly surprised at lee turning up at the graveyard, so i guess clint is just planning ahead.

[hero3bash]

@ApiaryManager no..ugly's gun has no ammo

[joetjoeb123]

whats the title of this film?

[KrazyKai101]

is this that scene from "the good, the bad, and the ugly" ? or some kinda old western ?

[jelqer]

Explain the game theory behind a duel? Besides it being lethally zero-sum:)

[toribaltimore]

Good question - the answer plays out in the eyes sequence. However, this was not a duel; rather, a truel. The question that beckons an answer is what are the chances of winning? Ergo, there are permutations of 2 vs. 1, but who will draw first? What's not known from just this clip is that Dirty Harry already spared the guy at his 11 o'clock by shooting his noose off, earlier. FYI: the two Mexicans are not amigos. In short, the 11 o'clock and Dirty Harry both shoot the same guy.

[hairyhoff]

Also Clint has empties the other guy's gun..

[hero3bash]

@hairyhoff ywea.. ugly's gun has no ammo, so it was good's victory was already decided

[CaesarXXIV]

Well, under game theory this wouldn't be zero-sum since zero-sum means that one play must gain when another player loses. Yet, when there are 3 player say A shots B. A gains but C also gains. Hence, it's not zero-sum since A gaining didn't cause C any harm.

The game theory is a mixed strategy nash equilibrium where players have to think who to shot. Assuming that it's a simultaneous game (by the time they draw their gun it's too late). C thinks if A shots B I shot A.

[cflbars]

My favorite game played out on film...

[Slimdawgc]

Agreed.