Will_Newsome comments on Swords and Armor: A Game Theory Thought Experiment - Less Wrong

14 Post author: nick012000 12 October 2010 08:51AM

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Comment author: Steve_Rayhawk 12 October 2010 12:10:18PM *  20 points [-]

Gambit said the only equilibrium was mixed, with 1/5 each of (blue sword, blue armor), (blue sword, green armor), (yellow sword, yellow armor), (green sword, yellow armor), and (green sword, green armor).

With a stylin' bonus of ε points per duel (if a win is 1 point and a loss is −1 points), Gambit says for ε≤1/4 the equilibrium is:
(blue sword, blue armor): 1/5−(4/5)ε
(blue sword, green armor): 1/5−(3/5)ε
(yellow sword, yellow armor): 1/5+(4/5)ε
(green sword, yellow armor): 1/5+(3/5)ε
(green sword, green armor): 1/5

Comment author: Will_Newsome 12 October 2010 12:27:59PM *  6 points [-]

>>2vc//
​>Note: this image does not belong to me; I found it on 4chan.
>>2vc//2sbt
​>Yellow yellow, because it looks the most awesome and seems like a generally decent combo,
>>2vc//2scc
​>Gambit says
​>(yellow sword, yellow armor): 1/5+(4/5)ε

File : Gambit_sez_small.jpg
Alt text

Comment author: [deleted] 12 October 2010 04:48:47PM 6 points [-]

Uh-oh, LessWrong is turning into 4chan! :)