Preserving priorities in the case of the Re-placement of medical residents in Turkey

Abstract

In this paper, we analyze the re-placement mechanism used in the Examination of Specialty in Medicine in Turkey, following the correction of a miscalculation in the scores. We observe that the preservation of vested interests, together with the limited capacities lead to violation of fairness. Furthermore, we show that the choice functions create additional capacities at programs, even to those doctors, who would not get into the programs if the score calculation was correct in the beginning. In line with preventing the creation of those unnecessary capacities, we define a new notion of fairness, capacity respecting fairness (QRF), such that a candidate, who is ranked within the original capacity of a program among the application pool is never rejected. We also define a QRF-Adjusted Modified Choice Function for the programs, and show that it is the choice function, which minimizes the deviation from the target capacities whilst preserving the vested interests. Furthermore, we also show that the QRF-Adjusted Modified Choice Function induced by the Deferred Acceptance Algorithm, minimizes the deviation of the outcome from the target capacities of the programs.