The author proposes a method combining entropy weight method and TOPSIS method with computer information technology in order to save energy with maximum efficiency and improve efficiency. The author constructs the optimal integration of computer information technology and enterprise economic management. Managers use computer information technology to analyze data and problems more accurately and have stronger control ability. The noncooperative game model of gender warfare game and smart pig game are used to simulate negotiation and cooperation in reality, which is conducive to the formulation of cooperation mechanisms and the flexibility of negotiation to promote the realization of regional energy cooperation. Finally, combined with computer information technology, a comprehensive evaluation model of the energy economic system is constructed by using the entropy weight method and the TOPSIS method. The authors used a paired t test for the three evaluation results to examine whether their evaluation results were significantly different. Experimental results show that the correlation coefficient between method 1, method 2, and method 3 are both 0.984, and the correlation coefficient between method 2 and method 3 is 0.974, and the results are all significant. Conclusion. The method can effectively improve the efficiency and effectiveness of energy economy, and the detection results are better.