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
Apply to firm 1 Apply to firm 2
Worker 1 Apply to firm 1 1/2w1, 1/2w1 w1,w2
Apply to firm 2 w2, w1 1/2w2, 1/2w2

Let w1= 8 and w2= 6. Find all the Nash equilibria