Tetronian 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: rosyatrandom 12 October 2010 11:03:37AM *  14 points [-]

You mean this table? :)

(This and the one I made below can be seen properly at http://tinyurl.com/lwgttable , along with the ATT vs DEF tables I worked out the outcomes from)

Hmm. Unless this has gone wrong, the best combo is Sword 1 and Armour 4, with Sword 1/Armour 1 being close). But if you bank on people choosing 1/4, then 1/1 will beat them.

NB: Yes, I made a lot of mistakes and edits to get here, and probably have still made some...

VS a1 a1 a1 a1 a2 a2 a2 a2 a3 a3 a3 a3 a4 a4 a4 a4
s1 s2 s3 s4 s1 s2 s3 s4 s1 s2 s3 s4 s1 s2 s3 s4
a1 s1 0.5 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1
a1 s2 1 0.5 1 1 1 0.5 1 1 1 1 1 1 1 1 1 1
a1 s3 1 0 0.5 0 1 1 1 1 0 0 0 0 1 1 1 1
a1 s4 1 0 1 0.5 0 0 0 0 1 1 1 1 0 0 0 0
a2 s1 0 0 0 1 0.5 0 0 1 0 0 0 1 1 1 0 1
a2 s2 1 0.5 0 1 1 0.5 0 1 1 1 1 1 1 1 0 1
a2 s3 1 0 0 1 1 1 0.5 1 0 0 0 0 1 1 1 1
a2 s4 1 0 0 1 0 0 0 0.5 1 1 1 1 0 0 0 0
a3 s1 1 0 1 0 1 0 1 0 0.5 0 1 0 1 0 1 0
a3 s2 1 0 1 0 1 0 1 0 1 0.5 1 0 1 0 1 0
a3 s3 1 0 1 0 1 0 1 0 0 0 0.5 0 1 1 1 0
a3 s4 1 0 1 0 0 0 1 0 1 1 1 0.5 0 0 0 0
a4 s1 0 0 0 1 0 0 0 1 0 0 0 1 0.5 0.5 0 1
a4 s2 0 0 0 1 0 0 0 1 1 1 0 1 0.5 0.5 0 1
a4 s3 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0.5 1
a4 s4 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0.5
_ _ 10.5 1 6.5 9.5 9.5 4 6.5 9.5 8.5 7.5 8.5 9.5 11 9 7.5 9.5
Comment author: nick012000 13 October 2010 06:18:23AM -1 points [-]

Nice chart. This one's better, though; it clearly lists which sword and armor win, as well as listing number of losses and ties. I got it from the same thread as the one in the OP; I was just waiting until someone suggested doing something like this before I posted it.

Didn't want to take away your fun, after all. ;)

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