  This paper suggests a model for the motion of tagged pedestrians: pedestrians
moving towards a specified targeted destination, which they are forced to
reach. It aims to be a decision-making tool for the positioning of fire
fighters, security personnel, and other services in a pedestrian environment.
Taking interaction with the surrounding crowd into account leads to a
differential nonzero-sum game model where the tagged pedestrians compete with
the surrounding crowd of ordinary pedestrians. When deciding how to act,
pedestrians consider crowd distribution-dependent effects, like congestion and
crowd aversion. Including such effects in the parameters of the game, makes it
a mean-field type game. The equilibrium control is characterized, and special
cases are discussed. Behavior in the model is studied by numerical simulations.
