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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 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.

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Finding the best strategy in game theory

Stategy D E F
A 100, 125 300,250 200 ,100
B 250, 0 500 ,500 750 , 400
C 0, -200 400, 300 -100, 350

Please explain what the dominant strategy is .
Does each player have a secure strategy?
What is the Nash equilibrium = 500 , 500 ?

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