# Game Theory : Two-Person Zero-Sum 2 x 3 Matrix (Mixed Strategies)

My problem is attached. I know how to work problems if the matrix is 2x2, but other sizes of matrices confuse me. Can you help?

Find the value and the optimal strategies for the two person zero-sum game below.

Player 2

Player 1 2 1 3

4 3 2

https://brainmass.com/math/discrete-math/game-theory-person-zero-sum-matrix-mixed-strategies-17424

#### Solution Preview

** Please see the attached file for the complete solution response **

Thanks for using BrainMass.

Find the value and the optimal strategies for the two person zero-sum game below.

Player 2

Player 1 2 1 3

4 3 2

SOLUTION:

Player 2 Min

Player 1 2 1 3 1

4 3 2 2

Max 4 3 3

There is no saddle point therefore this is a mixed strategy problem. There doesn't seem to be a column that dominates, so I can't eliminate any columns.

Player 1 ...

#### Solution Summary

This solution provides a detailed, step by step explanation of the given question.