EAP (Extensible authentication protocol) is a sort of general framework for authentication rather than a specific authentication protocol. An important consequence of this is that EAP can accommodate a variety of authentication/key-establishment protocols for different internet access networks possibly integrated to a common IP core network This paper tries a comparative analysis of several specific authentication/key establishment protocols for EAP, and suggest a strategic viewpoint toward the question: which one to un. In addition, we tried to make things clear about an intellectual property right issue with regard to some password-based protocols.