Explore BrainMass
Share

Explore BrainMass

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

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com October 9, 2019, 3:55 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/game-theory-person-zero-sum-matrix-mixed-strategies-17424

    Attachments

    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.

    $2.19