This paper deals with a relatively unexamined facet of stochastic bran
d switching models - their connection to market share models. We deriv
e a composite market share model based on aggregation of heterogeneous
Markovian type individuals each purchasing a brand from the product c
lass several times during the period of analysis. The characteristics
of this composite model are examined and interestingly suggest a Marko
v type market share model. Moreover, this examination sheds some light
on a phenomenon uncovered in econometric studies of market share resp
onse to advertising - the slow decay of the lagged market share term a
s the length of the measurement period is increased.