English

Incontestable Assignments

Theoretical Economics 2024-03-04 v2

Abstract

In school districts where assignments are exclusively determined by a clearinghouse students can only appeal their assignment with a valid reason. An assignment is incontestable if it is appeal-proof. We study incontestability when students do not observe the other students' preferences and assignments. Incontestability is shown to be equivalent to individual rationality, non-wastefulness, and respect for top-priority sets (a weakening of justified envy). Stable mechanisms and those Pareto dominating them are incontestable, as well as the Top-Trading Cycle mechanism (but Boston is not). Under a mild consistency property, incontestable mechanisms are i-indinstiguishable (Li, 2017), and share similar incentive properties.

Keywords

Cite

@article{arxiv.2401.03598,
  title  = {Incontestable Assignments},
  author = {Benoit Decerf and Guillaume Haeringer and Martin Van der Linden},
  journal= {arXiv preprint arXiv:2401.03598},
  year   = {2024}
}
R2 v1 2026-06-28T14:10:46.896Z