Learner modeling is a crucial step in the learning personalization process. It allows taking into consideration the learner's profile to make the learning process more efficient. Most studies refer to an explicit method, namely questionnaire, to model learners. Questionnaires are time consuming and may not be motivating for learners. Thus, this paper presents a new approach for Modeling the learner's Personality, introvert/extrovert, using Educational Games(MoPEG). The proposed approach includes three phases, namely design of the educational game, collection of traces and personality prediction. To evaluate the efficiency of MoPEG, an experiment was conducted with thirty learners where their personality modeling results using MoPEG are compared to the Big Five Inventory (BFI) questionnaire. The obtained results showed that the accuracy level of MoPEG is significant with an 80% of similarity. Besides, based on the Kappa method, used by psychologists to measure the similarity of two instruments. The obtained results highlighted an agreement degree of MoPEG with the level "good".