# Game Theory: Does player A have a dominant strategy?

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.

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.