Explore BrainMass
Share

Explore BrainMass

    Game Theory: Does player A have a dominant strategy?

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

    Consider the following payoff matrix:
    Player B Strategy
    Player A $ 1,000 - $ 2,000
    Strategy $ 2,000 - $ 1,000
    - $ 1,000 - $ 2,000
    - $ 2,000 - $ 1,000

    a. Does Player A have a dominant strategy? Explain why or why not.
    b. Does Player B have a dominant strategy? Explain why or why not.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:50 am ad1c9bdddf
    https://brainmass.com/economics/game-theory/game-theory-does-player-dominant-strategy-519455

    Solution Preview

    a) Yes. Player A's upper strategy could get a payoff of 2000 or -1000, but his lower strategy could get a payoff of -2000 or -1000. ...

    Solution Summary

    This solution explains how to determine whether a player in a two-player game has a dominant strategy.

    $2.19