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4. Leo just got a job at a consulting firm. He is happy that hes got a job, but does not really feel like working too hard. His supervisor Arnold is well aware of that fact. Arnold can either come in to control what Leo is doing or enjoy another coffee break. Leo on the other hand can either shirk openly, pretend to work, or work for real. Leo likes to shirk, hates to pretend to work, and is okay with working, if he does not get controlled. Arnold likes to drink coffee, but relies on Leo working. If he finds out Leo is shirking, Arnold will fire Leo. When Leo pretends to work, Arnold cannot fire him, which drives him crazy, too. Find the Nash equilibrium for the game depicted in the following payoff matrix (where Leo is on the left and Arnold on top, and their payoffs are on the left right). You must show and explain your work to get full points

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