Suppose there are N firms in Cournot, each first has cost ci(qi)=qi and the market price is 13qi

1. Does this game have a dominant strategy?
2. Which strategies are dominated for each player?
3. Let N=2. If we remove the dominated strategies for each player, will other strategies become dominated for the other players?
4. Proceeding iteratively, which strategies survive iterated deletion of strictly dominated strategies when N=2
5. Let N>2. How many strategies survive iterated deletion of strictly dominated strategies?
6. Solve for the Nash equilibrium for the game for any N. How does your answer compare to your answers from (4) and (5)?