Decentralized static output regulators are designed via projective controls in cases where the controllers are directly coupled, i.e. when the controls of other decision-makers appear in the local outputs. For two decision-makers, the solution is reduced to the problem of solving a general (non-square) algebraic Riccati equation. The existence and uniqueness of the solution is proved and then determined analytically. These results are then generalized to an arbitrary number of decision-makers. Finally, the possibilities of the sequential design of static and dynamic regulators for this type of decentralized information structure are investigated. A numerical example illustrates the design procedure.