Not too sure about how game theory works in this problem. Please explain how do

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Not too sure about how game theory works in this problem. Please explain how do this so that I can learn. thanks

1. (35 points) Consider the game below: Player C Q 100 Q 150 Player R Q 50 37, 37 30, 40 20.37 Q 100 40, 30 32, 32 15, 23 Q 150 37, 20 25, 13 0, 0 a. If both firms move simultaneously, show, if existed, the Nash equilibrium. Does any firm have a dominant strategy? b. Show the extensive form of the game in the case that R moves first. What is the Nash equilibrium? Try to explain how you find the equilibrium c. Show the extensive form of the game in the case that C moves first. What is the Nash equilibrium? Try to explain how you find the equilibrium d.Ina one-shot simultaneous game, if Rprojects that Chas a chance to set Q 50 or 20 percent, Q 100 for 30 percent, and Q 0 for 50%, what Q will R choose to produce?

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