Inthispaper,westudyscalarlinearquadraticdifferentialgameswithstatefeedback
information structure. We present a numerical algorithm which determines whether this game
will have no, one, or multiple equilibria. Furthermore, in case there is a unique equilibrium,
the algorithm provides this equilibrium. The algorithm is efficient in the sense that it is capable
of handling a large number of players. The analysis is restricted to the case the involved cost
depend only on the state and control variables.

• A Numerical Algorithm to Calculate the Unique Feedback Nash Equilibrium in a Large Scalar LQ Differential Game