The narrator of "Rules of the Game," who is also the daughter in the story, describes how she became a successful chess player. The daughter says that when she would play in outdoor chess exhibitions, her mother would sit "proudly" among the crowd. The mother was also humble in regards to her own role in her daughter's success, telling other members of the crowd, "Is luck."
When the daughter persuaded her mother to allow her to play in the local chess tournaments, the mother would sit with her daughter in the front row as the daughter waited for her turn. The daughter recalls how, as she got up to play her first game, her mother handed her "a small tablet of red jade" and whispered to her, "Is luck." When the daughter won her first trophy at one of these tournaments, the mother proudly displayed the trophy in her home.
The more successful the daughter became at chess, the more proud and protective the mother became of her. When the daughter gained sponsorship to compete in national tournaments, the mother excused her from her household chores. Her mother also made two dresses for her daughter to wear at these tournaments. Whenever the mother and daughter would go to the market together, the mother would "walk proudly" and visit many shops, not to buy anything but simply to tell people about her daughter's successes.
The daughter describes how her mother's pride in her would sometimes become overbearing and stifling. Her mother would stand over her whenever she played games of chess at home, for example, thinking of herself as the daughter's "protective ally."
In summary, the mother feels very proud of her daughter's success. This is sometimes explicitly stated, and sometimes it is heavily implied, as when she takes her daughter into shops without buying anything or displays her daughter's trophies in her home.