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Adapt the DMP model to include government activity as follows. Suppose that the government must i...

Adapt the DMP model to include government activity as follows. Suppose that the government must incur a cost kto post a vacancy. Supposing that the government operates G firms, then the number of matches in the economy as a whole is M = em(Q, A + G), where A is the number of private firms that choose to post vacancies. Assume the government pays the same wages as do private sector firms. Determine the effects of G on the unemployment rate, the vacancy rate, the labour force, the number of private firms, the total number of firms, aggregate output and labour market tightness.

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