Question

33. Consider a duopoly that satisfies the assumptions of the model we discussed in class: The two firms produce identical products and face identical and constant marginal costs. In the figure below, the ownward sloping line represents the market demand curve. The joint profit-maximizing situation (that is the full cartel solution) is where Firm X produces x units; Firm Y produces y units, and x- y. Put anotherc way, total output at the full cartel solution is x+y, and the firms split the output evenly MO Suppose now that firm Y is contemplating an increase in its output of 1 unit. The full cartel solutio Nash equilibrium because A. A B B. D>E-B C. E-B>E-B-A D. C+D> E-B-A E. D-B C A

Please explain area wise explanation of above mcq, like what is a and what is b, what is marginal revenue and why you select a particular option..?

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The problem with cartel is that every firm has an incentive to cheat by lowering price and increasing the market share. And by doing this the firm that is cheating can earn higher revenues than what it was earning in the cartel. Since any deviation from a particular Price quantity point is giving greater value to the firm that is cheating, that's why the initial Cartel price quantity point is not a Nash Equilibrium.

The dotted line above A and B is the price at which the quantity is sold say P. The dotted line below A and B is the MC line. Thus (P-MC) is the mark up. since this is not a perfectly competitive market P not=MC.

selecting a particular option would be difficult since Cost functions are not mentioned. But the concept I have mentioned , I am confident about it

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