The object of this paper is to give an overview of one method of modeling and analysing situations involving inter-identification. Hypergame analysis is used as this approach. Hypergame analysis is one of what we call soft system approaches. In this paper, We first reformulate concept of the simple hypergame and define the hypergames with inter-identification as a system consisting of simple hypergames connected by the mutual identification. We propose a definition of solutions for them. Based on the formulation, We derives existence conditions of the solutions. We then apply the framework to a realistic problem. i. e, America-North korea conference problem to demonstrate the validity of the derived theoretical results as well as In obtain some suggestions to improve the problematic situation.