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Find the symmetric nash equilibrium

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Consider a market that consists of n ≥ 2 identical firms. Each firm produces output at a constant average and marginal cost of 2. The market demand curve in this industry p = 20 - 2Q, where Q is market demand and p is price. Firms will choose output simultaneously.

(a) Find the symmetric Nash equilibrium and explain why.

(b) Show that as n becomes large the market output in this industry will approach the level of output under perfect competition.

If you are going to use the formula n/(n+1), can you explain what does this formula mean? what is the name of theory for this formula? or where can I find more explanations for it.

Reference no: EM131232536

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