# 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 ?

https://brainmass.com/economics/game-theory/finding-best-strategy-game-theory-379157

#### Solution Preview

Assuming Player 1 has strategies A, B and C, and Player 2 has strategies D, E and F, and the first element in each cell is the payoff for Player 1 and the second is the payoff for Player 2 we can explain it as follows.

Consider Player 1. If he assumes Player 2 will choose D, he is best off with B as that gives highest payoff (250). If he ...

#### Solution Summary

This solution explains how to determine the secure strategies of the two players in this game theory problem. This solution also shows the Nash equilibrium of the problem.