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4. Consider the following noncooperative, simultaneous, 2player game. Each player seeks a Promotion. To get the promotion, each player has two Possible strategies: earn it

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4. Consider the following noncooperative, simultaneous, 2player game. Each player seeks a Promotion. To get the promotion, each player has two Possible strategies: earn it through hard work (Work) or make the other person look bad through unscrupulous means Mean). The company is better off if they work together but has no way of ensuring that. The payoff matrix describing this game is shown below. The payoffs for each player are levels of utilitylarger numbers are preferred to smaller numbers. Player 1's payoffs are listed rst in each box. The game is played simultaneously. Find the Nash equilibrium (or Nash equilibria) and describe how you found itX them. Does either player have a dominant strategy? If so, what is it for each player? Is the company better off or not? Work 2 Mean Work 1, 1 him 5' _ 23

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