In wireless access network optimization, today's main challenges reside in traffic offload and in the improvement of both capacity and coverage networks. The operators are interested in solving their capacity problems in areas where the macro network signal is not able to serve the demand for mobile data. Thus, the major issue for operators is to find the best solution at reasonable expanses. The femto cell seems to be the answer to this problematic. In this work, we focus on sharing femto access between a same mobile operator's customers. This problem is modeled as a game where service requesters customers (SRCs) and service providers customers (SPCs) are the players. This article considers one SPC. SRCs are static and have some similar and regular connection behavior. Moreover, the SPC and each SRC have a software embedded respectively on its femto access, user equipment. After each SRC's connection request, its software will learn the strategy increasing its gain using local information. We present a distributed learning algorithm with incomplete information running in SRCs software. This work answers these questions: Does the distributed algorithm converge to a stable state? If yes, does this state a Nash Equilibrium and how many iterations we need to reach it?