We propose a new adaptation minority game for understanding the complex dynamical behaviour characterized by agent interactions competing limited resources in many natural and social systems. Intelligent agents may modify a part of their strategies periodically, depending on the strategyperformances. In the present model, the strategies will be updated according to a uniform-crossover variation process inspired by genetic evolution algorithm in biology. The performances of the agents in our model are calculated for different parameter conditions. It has been found that the new system may evolve via the strategy uniform crossover adaptation mechanism into a frozen equilibrium state in which the performance of the system may reach the best limit, implying the strongest cooperation among agents and the most effective utilization of the social resources.