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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
1.6.      Consider the Cournot duopoly model where inverse demand is P( Q) = a - Q but firms have asymmetric marginal costs: CJ for firm 1 and c2 for firm 2. What is the Nash equilibrium if  0 < c;=""><>a/ 2 for each firm? What if CJ < c2="">< a="" but="" 2c2="">> a + c1?
1.7.   In Section 1.2.B, we analyzed the Bertrand duopoly model with differentiated products. The case of homogeneous  products yields a stark conclusion. Suppose that the quantity that con sumers demand from firm iis a - p; when p; <>Pi , 0 when p; > Pj, and (a - p; ) / 2 when p; = Pi· Suppose also that there are no fixed costs and that marginal costs are constant at c, where c <>a. Show that if the firms choose prices simultaneously, then the unique Nash equilibrium is that both firms charge the price c.
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