This paper proposes a game-theoretic approach to the problem of resource allocation for the uplink of a CDMA wireless communication network, in which terminals code-locked to the access point (in-sync users) coexist with some terminals still in the code acquisition stage (out-of-sync users). To capture the tradeoff between obtaining good performance and saving as much energy as possible for both classes, we propose a noncooperative game with strict incomplete information based on the energy-efficient criterion. This formulation allows us to devise an iterative algorithm that enables each terminal to locally regulate its optimal transmit power while ignoring all others' synchronization phases. A numerical example is reported to show the improvements provided by the proposed approach.