Rather than saying that Fu Jie and Lu Chen were playing a game, it would be more accurate to say that they were fighting with each other.
Wu Tie was angry that Lu Chen, as the company's general manager, didn't get a good start with the people below, and even had the first signs of cheating with a woman from the wonton shop. Lu Chen was angry that Fu Jie had always misunderstood him and treated him indifferently, especially since the Bao Shijie she brought had given him a serious shock. In addition to that, Fu Jie's meeting today had gone against common sense and had not given him a preemptive ventilation. This had thoroughly angered Lu Chen. It was fine to not mention love, but to be so isolated and humiliating at work was beyond what Liu could bear psychologically.