11.3.1: Reduction by Dominance (Exercises)

Applied Finite Mathematics · LibreTexts

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    Reduce the payoff matrix by dominance.

    Find the optimal strategy for each player and the value of the game.

    1. \(\left[\begin{array}{cc}
      2 & -1 \\
      0 & 3 \\
      -2 & 0
      \end{array}\right]\)
    1. \(\left[\begin{array}{ll}
      2 & 3 \\
      4 & 5 \\
      5 & 4
      \end{array}\right]\)
    1. \(\left[\begin{array}{ccc}
      1 & 3 & -2 \\
      -2 & 9 & 4 \\
      -5 & 0 & 1
      \end{array}\right]\)
    1. \(\left[\begin{array}{lll}
      0 & 1 & 1 \\
      0 & 1 & 2 \\
      1 & 2 & 4 \\
      3 & 1 & 3
      \end{array}\right]\)
    1. \(\left[\begin{array}{cccc}
      2 & 0 & -4 & 8 \\
      0 & -6 & -6 & 2 \\
      2 & -2 & 4 & 6 \\
      -2 & -4 & -8 & 0
      \end{array}\right]\)
    1. \(\left[\begin{array}{cccc}
      -1 & 3 & 2 & 4 \\
      1 & 2 & 0 & 5
      \end{array}\right]\)
    1. \(\left[\begin{array}{cccc}
      -5 & -1 & -1 & 3 \\
      -10 & 1 & 2 & -8 \\
      4 & 0 & 1 & 5 \\
      3 & -8 & 0 & 5
      \end{array}\right]\)
    1. \(\left[\begin{array}{cccc}
      1 & -3 & -4 & 1 \\
      1 & -4 & -1 & 3 \\
      1 & 1 & -1 & 1 \\
      0 & -1 & 1 & 1
      \end{array}\right]\)

    This page titled 11.3.1: Reduction by Dominance (Exercises) was last modified on Sat, 02 Jan 2021 09:28:19 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Rupinder Sekhon and Roberta Bloom via source content that was edited to the style and standards of the LibreTexts platform.