Aytek Erdil


Professor of Economics, University of CambridgeFellow, King's College Cambridge


Matching with Attributes (July 2026) with Battal Dogan

  • Abstract: Firms typically evaluate workers based on their attributes rather than their names, and treat workers with similar attributes similarly. We formalize these natural features through a new property we call density, and recast the classical model of matching with contracts so that in any problem, the set of workers is a finite draw from a rich attribute space. Dense preferences are common in applications and easy to verify. In this environment, simple preference conditions previously known to be necessary but not sufficient become sufficient to guarantee the existence of stable allocations and stable, strategy-proof mechanisms. Thus, attribute-based modelling clarifies which preference restrictions support stable and strategy-proof design, and offers a new lens for revisiting existing matching-with contracts results. 

  • When preferences satisfy our mild density condition, we obtain two characterizations:

First, the weak substitutes condition is not only necessary but also sufficient to guarantee the existence of a stable allocation. Second, weak substitutes and weak size monotonicity together are not only necessary but also sufficient to guarantee the existence of a stable and strategy-proof mechanism.




Matching Doctors to UK Foundation Schools

  A Cautionary Note on Reforming the UKFPO Matching Process (April 2023) with Battal Dogan


  Matching Doctors to UK Foundation Schools (May 2023, revised June 2025) with Battal Dogan

  Related press coverage in The Economist: Britain’s newest way of demoralising doctors (June 2025)

  What do UK Foundation Programme statistics really mean? Brief comment in the BMJ (May 2025) with Tadeusz S Ciecierski-Holmes






University Admissions in the UK

  Widening Access in University Admissions with Battal Dogan (appeared in Journal of Economic Theory, March 2025)

  A Modern Design for University Admissions in the UK with Battal Dogan  (Our response to the UK Government consultation dated 21 January 2021)
  To see an overview of our proposal, click here for our opinion piece at Economics Observatory.
  What went wrong with UK university admissions in the summer of 2021?  Ungated version here
  Economics Masterclass Material

Research



Contact
E-mail: nae25@cam.ac.uk