Sorry that this isn’t related to Blognomic, but…
I need a good strategy for Chicken, and Blognomic is fully loaded with matrix game theorists, so I thought I’d ask around here.
So, there are two players driving toward each other in cars (equipped with airbags). At the last minute each has the choice to either swerve, or not swerve.
Here’s the payoff matrix, with the first row and column having the action of swerving, and the second row and column having the action of not swerving.
(-1,-1) ( 0 , 1)
( 1, 0 ) (-5,-5)
That is, if both players swerve, both
lose 1 point
.
If one player swerves, and the other doesn’t, the one who drove straight
gets 1 point
, while the one who swerved
gets 0 points
.
If both players don’t swerve, bad things happen, and both
lose 5 points
.
It’s not as easy as Prisoner’s Dilemma, I think, since tit for tat really doesn’t work. It pays off for both players if they both take different actions. Any ideas for strategies?
Saki:
I’m no good with matricies, but I can give you a two player strategy: Never Swerve.
Assume that there’s only two players and whoever has more points at the end wins. If player A never swerves then player B either swerves, giving player A one point, or doesn’t swerve and both players lose five points.
Either way, player A always wins or ties.