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Business, 29.07.2020 02:01 Lesquirrel

Each of two firms has one job opening. Suppose that the firms offer different wages: firm 1 offers wage w1, firm 2 offers wage w2. Imagine that there are two workers, each of whom can apply to only one firm. The workers simultaneously decide whether to apply to firm 1 or to firm 2. If only one worker applies to a given firm, that worker gets the job; if both workers apply to one firm, the firm hires one worker at random and the other worker is unemployed. Worker 2 Worker 1 Apply to firm 1 Apply to firm 2 Apply to firm 1 1 2w1, 1 2w1 w1, w2 Apply to firm 2 w2, w1 1 2w2, 1 2w2 (a) Let w1 = 8 and w2 = 6. Find all (pure and mixed) Nash equilibria. (b) Let w1 = 10 and w2 = 4. Find all Nash equilibria. (Hint: Check for dominant strategies

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