Sequential Response Models use techniques based on ordinal noncooperat
ive game theory to analyze decisions in which participants may sequent
ially respond to the actions of their opponents. Sequential Response M
odels, which include Departure Games, allow a decision maker to use fo
resight in determining the best move. This article presents the first
model to adequately describe general sequential response decision situ
ations. The Double Departure Game model allows a broader application o
f foresight than was previously possible. This model applies these pri
nciples in a 2 x 2 game context, providing a basis for extension of th
ese ideas to more general games. The model is used to demonstrate the
possibility of cooperation without communication, and to examine this
phenomenon in several business contexts.