Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 09 Jul 2017 My Price 11.00

Cournot duopoly model

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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Status NEW Posted 09 Jul 2017 09:07 PM My Price 11.00

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