consider two (2) profit- maximizing firms that behave as quantity setters and supply a homogenous product. market
Question:
consider two (2) profit- maximizing firms that behave as quantity setters and supply a homogenous product. market demand is P=20-Q. Total cost of each firm are C(q1) =1/2q1^2
a) calculate the equilibrium quantities and profit of each firm
b) now suppose that two firms play a repeated game and decides to form a cartel. they make a cartel agreement that their joint profits , and involve each of them setting the same quantity in each period .calculate the cartel quantity for each firm and the resulting per- period cartel profit for each firm
c) suppose the two firms play a trigger strategy but firm 1 decides to cheat on the cartel agreements. what quantity would it set
d) for what values of the discount factor will the cartel be stable
Managerial Economics A Problem Solving Approach
ISBN: 978-1133951483
3rd edition
Authors: Luke M. Froeb, Brian T. McCann, Mikhael Shor, Michael R. War