Exercise Two firms compete for market shares producing similar goods under imperfect competition. The market demand curve is p = 24-y, where y = y₁ + y2 is the summation of the firms' outputs. Total costs are TC₁ = 4y₁ for the first company and TC₂ = 2y2 for the second company. The second company is therefore more productive than the first. Now answer the following questions: (a) Compute the best response functions of each company. Then compute the Nash equilibrium in quantities. The Nash equilibrium in quantities is also called the Cournot equilibrium. Note that in this case the payoffs are given by the profit functions rather than by the levels of utility. (b) Plot the best response functions and the Nash equilibrium. (c) Show that the Nash equilibrium is stable. (d) Assume that the first company is a first mover (even though it is less productive) and chooses its output level before the second company. Find the (Stackelberg) equilibrium in quantities. (e) Plot the Stackelberg equilibrium in the same plot from part (b). (f) Is the Stackelberg equilibrium stable or unstable? (g) Assume that an impartial spectator (which could be a cartel) maximizes joint profits. This is equivalent to an impartial spectator that maximizes a social welfare function that aggregates utility functions, where the payoffs in this case are given by the profit functions. Find the equilibrium level of joint output, and also the equilibrium levels of output of each company. Is there a conflict of interest between the companies within the cartel?

can u solve d and e

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do it with pencil and paper

8 Write an email (120-150 words) to ask for • information about an activity that you would like to do. Use an idea from the list or your own idea. Follow the content checklist and remember to use indirect questions. a course at a college or with a one-to-one tutor a sport / activity at a gym joining a volunteering group Checklist • how you heard about the course / activity/group ⚫ the days and times ⚫ the cost if you need any experience / skills • if you need any equipment

Can I see part A - D ?

Could you please help me with question d, e, f and g. The answers please.