Let there be a set of nodes that can form one-sided links with each other. An edge (two-sided link) between two nodes exists if both nodes agree with it. Each node have an cost’s on each one-sided link, but have a bigger reward for each other node associated with it a chain of edges node. The problem of decentralized algorithm for effective network formation is considered. The double-best response algorithm is suggested. This algorithm can take place with nodes that are rational and it is better then simple best response.