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.
Categories: math.OC