I've encountered a problem with a 2x3 game where I need to find Pure NE and Mix NE so I thought it's better first to get a 2x2 matrix.
For some reason I find it very difficult to solve this with strict or weak dominance.
The original matrix is as follows:
[4,3][5,2][2,3]
[2,0][7,2][1,3]
I thought maybe removing the middle column since [4,3] and [2,3] are pure strategies of NE, but I'm not sure if that is the way to go about it..
Any way I look at this, I can find the solution for a 2x2 matrix. Is there such a situation where there is no solution using strict / weak dominant?
Can you help me find a solution and the method so I can implement it in the future?