Learning in Teams: Peer Evaluation for Fair Assessment of Individual Contributions

We develop a game-theoretical model of a classroom scenario, where 𝑛 students collaborate on a common task and the job of the course instructor is to grade the individual contribution of each student to teamwork. Our main result is a method of grading individual contributions based on the matrix of peer evaluations such that 1) the collective truth-telling is a strict Nash equilibrium and 2) the method of assessment is psychometrically reliable.