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Through collaboration betwen companies A and B,economical value is created. The equation for the value generation is P= √zA + √zB. √zA and √zb are the respective companie's investment. After the companies' investment levels are decided, A and B divide p (value generated) equally. (a)Determine the Nash equilibrium investment levels, and the consequent payoffs for each firm. (b)Suppose that A and B merge instead. What is the the optimal investment levels and the payoff for the new merged firm. Do the firms benefit at all from the merger?
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