The aim of the following study was to examine the cognition of the task and the change in cognition of the opponent formed in a competitive situation during a game. The win or loss of a game was considered as the factor influencing the cognition of the task and the opponent. Three conditions, i. e. tying, winning, and losing the game were set. A total of 38 female university and graduate students were selected as subjects. The game was conducted four times and the subjects were asked their evaluation on the task and the opponent in a questionnaire form after completing 1st, 2nd, and 4th games. The main findings were as follows: (1) In the tying condition, task cognition and person cognition were formed more favorably than in the other two conditions.(2) Even in the winning and losing conditions, the negative cognition to the opponent was not seen.(3) Winning and losing a game with a large difference in score might be perceived as the negative information by each of the players, but it was handled in a way having no reflecting on the cognition of unfavorableness for the opponent.