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Game Theory: Does player A have a dominant strategy?

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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.

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Solution Summary

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

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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. ...

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