  This work introduces a novel modified Replicator Dynamics model, which
includes external influences on the population. This framework models a
realistic market into which companies, the external dynamic influences, invest
resources in order to bolster their product's standing and increase their
market share. The dynamic influences change in each time step of the game, and
directly modify the payoff matrix of the population's interactions. The model
can learn from real data how each influence affects the market, and can be used
to simulate and predict the outcome of a real system. We specifically analyze
how a new technology can compete and attempt to unseat an entrenched technology
as the market leader. We establish a relationship between the external
influences and the population payoff matrix and show how the system can be
implemented to predict outcomes in a real market by simulating the rise of the
Android mobile operating system over its primary competition, the iPhone, from
2009 to 2017.
