Turning relative deprivation into a performance incentive device

The inclination of individuals to improve their performance when it lags behind that others with whom they naturally compare themselves can be harnessed optimize the individuals’ effort in work and study. In a given set individuals, we characterize each individual by his relative deprivation, which measures how much trails other doing better than him. We seek divide into an exogenously predetermined number groups (subsets) order maximize aggregate so as ensure incentive for or study harder because unfavorable comparison is at its strongest. find solution this problem depends only on ordinally measured levels independent comparators.