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

Question

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?

Explanation / Answer

you can apply nerway's therom..thanks..it will work

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