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                        Moreover,  by making production scale with aggregate quality, we can ensure that output grows at the same rate as productivity, which is necessary for the existence of a balanced growth path equilibrium.
Later      on, we specialize the equilibrium to a balanced-growth path (BGP) in which all aggregates grow at a  constant and positive rate,   g.
BGP Equilibrium Characterization A Balanced Growth Path equilibrium is defined as an equilibrium allocation in which output all aggregate variables grow at a constant rate,  denoted by           g > 0.
(11) that, if a BGP exists where output grows at the rate   g, then .
Moreover, we can note from Equation (13) that p� is time-invariant, and therefore flow operating profits before advertising costs can    be written as pjt  = pq�jt  in BGP, where is a constant.
 
                        
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