  In this work we consider a stochastic linear quadratic two-player game. The
state measurements are observed through a switched noiseless communication
link. Each player incurs a finite cost every time the link is established to
get measurements. Along with the usual control action, each player is equipped
with a switching action to control the communication link. The measurements
help to improve the estimate and hence reduce the quadratic cost but at the
same time the cost is increased due to switching. We study the subgame perfect
equilibrium control and switching strategies for the players. We show that the
problem can be solved in a two-step process by solving two dynamic programming
problems. The first step corresponds to solving a dynamic programming for the
control strategy and the second step solves another dynamic programming for the
switching strategy
