  In this article we study linear complementarity problem with hidden
$Z$-matrix. We extend the results of Fiedler and Pt{\'a}k for the linear system
in complementarity problem using game theoretic approach. We establish a result
related to singular hidden $Z$-matrix. We show that for a non-degenerate
feasible basis, linear complementarity problem with hidden $Z$-matrix has
unique non-degenerate solution under some assumptions. The purpose of this
paper is to study some properties of hidden $Z$-matrix.
