  Consumer behavior under social influence is a well-known phenomenon and
computer scientists and economists are prevalently trying to analyze the
dynamics behind decision making during the consumption process through
agent-based modeling (ABM). Some articles tried to explain market inequality
because of the social influencing, but the impact of advertising is
underestimated and not included as a parameter in the ABM simulations. In the
first part of the work we give a background about related works, afterwards, we
explain our model with newly introduced advertisement and penalty parameters.
To best our knowledge our work will be the first paper that will consider the
effects of social influencing, advertisement, and the novelty of the product at
the same time. The type of interactions is defined as advertisement and social
influencing. We are interested in showing the effects of advertisement and
social interactions in different time intervals. The influencing takes time by
its nature, however, advertisement is a stronger approach to introduce new
products to consumers. These effects are not linearly positive for the fashion
products, since the fashion changes over time and consumed items get
old-fashioned and ordinary for users. Our Sigmoid penalty function adds
non-linearity to the model to show the time and popularity effects against the
advertisement and social interactions.
