(Il)legal Assignments in School Choice
@article{Ehlers2017IllegalAI, title={(Il)legal Assignments in School Choice}, author={Lars Ehlers and Thayer Morrill}, journal={The Review of Economic Studies}, year={2017} }
In public school choice, students with strict preferences are assigned to schools. Schools are endowed with priorities over students. Incorporating constraints from different applications, priorities are often modelled as choice functions over sets of students. It has been argued that the most desirable criterion for an assignment is stability; there should not exist any blocking pair: no student shall prefer some school to her assigned school and have higher priority than some student who…
46 Citations
Blocking Pairs Versus Blocking Students: Stability Comparisons in School Choice
- Economics
- 2020
It is known that there are school choice problems without an efficient and stable assignment. We consider comparing assignments in terms of their stability by comparing their sets of blocking…
Improving the Deferred Acceptance with Minimal Compromise
- Economics
- 2022
In school choice problems, the motivation for students’ welfare ( efficiency ) is re-strained by concerns to respect schools’ priorities ( fairness ). Even the best matching in terms of welfare among…
School Choice with Consent: An Experiment *
- Economics
- 2021
Public school choice often yields student placements that are neither fair nor efficient. Kesten (2010) proposed an efficiency-adjusted deferred acceptance algorithm (EADAM) that allows students to…
Essentially Stable Matchings
- EconomicsGames Econ. Behav.
- 2020
Many institutions that must assign a group of objects to a group of agents on the basis of priorities (also known as one-sided matching) desire the assignment to be stable, i.e., no agent should…
Efficient Matching in the School Choice Problem
- EconomicsAmerican Economic Review
- 2022
Stable matchings in school choice needn’t be Pareto efficient and can leave thousands of students worse off than necessary. Call a matching μ priority-neutral if no matching can make any student…
Weak stability and Pareto efficiency in school choice
- EconomicsEconomic Theory
- 2020
We study the trade-off between stability and students’ welfare in school choice problems. We call a matching weakly stable if none of its blocking pairs can be matched in a more stable matching—one…
Weak stability and Pareto efficiency in school choice
- EconomicsEconomic Theory
- 2020
We study the trade-off between stability and students’ welfare in school choice problems. We call a matching weakly stable if none of its blocking pairs can be matched in a more stable matching—one…
Legal Assignments and fast EADAM with consent via classical theory of stable matchings
- EconomicsOper. Res.
- 2022
This work investigates two extensions introduced in this framework -- legal assignments and the EADAM algorithm -- through the lens of classical theory of stable matchings, and proves that the set ${\cal L}$ is exactly the set of stable assignments in another instance.
When Does an Additional Stage Improve Welfare in Centralized Assignment?
- Economics
- 2018
We study multistage centralized assignments to allocate scarce resources based on priorities in the context of school choice. We characterize the capacity-priority profiles of schools under which an…
E ffi cient Matching in the School Choice Problem ∗
- Economics
- 2021
Stable matchings in school choice needn’t be Pareto e ffi cient and can leave thou-sands of students worse o ff than necessary. Call a matching priority-neutral if no matching can make any student…
References
SHOWING 1-10 OF 68 REFERENCES
School Choice with Consent
- Economics
- 2010
An increasingly popular practice for student assignment to public schools in the United States is the use of school choice systems. The celebrated Gale. Shapley student-optimal stable mechanism…
Strategy-Proofness Makes the Difference: Deferred-Acceptance with Responsive Priorities
- EconomicsMath. Oper. Res.
- 2014
It is shown that almost all real-life mechanisms used in such environments, including the large classes of priority mechanisms and linear programming mechanisms|satisfy a set of simple and intuitive properties• and once the authors add strategy-proofness to these properties, DA-mechanisms are the only ones surviving.
The Boston Public School Match
- Education
- 2005
After the publication of “School Choice: A Mechanism Design Approach” by Abdulkadiroglu and Sonmez (2003), a Boston Globe reporter contacted us about the Boston Public Schools (BPS) system for…
Essentially Stable Matchings
- EconomicsGames Econ. Behav.
- 2020
Many institutions that must assign a group of objects to a group of agents on the basis of priorities (also known as one-sided matching) desire the assignment to be stable, i.e., no agent should…
Minimizing Justified Envy in School Choice: The Design of New Orleans&Apos; Oneapp
- Economics
- 2017
In 2012, New Orleans Recovery School District (RSD) became the first U.S. district to unify charter and traditional public school admissions in a single-offer assignment mechanism known as OneApp.…
House Allocation with Existing Tenants: A Characterization
- EconomicsGames Econ. Behav.
- 2010
It is shown that you request my house-I get your turn mechanisms are the only mechanisms that are Pareto-efficient, individually rational, strategy-proof, weakly neutral, and consistent.
Strategyproof Choice of Acts: Beyond Dictatorship
- Economics
- 2017
We model social choices as acts mapping states of nature to (public) outcomes. A social choice function (or SCF) assigns an act to every profile of subjective expected utility preferences over acts.…
Chinese College Admissions and School Choice Reforms: A Theoretical Analysis
- EducationJournal of Political Economy
- 2017
Each year approximately 10 million high school seniors in China compete for 6 million seats through a centralized college admissions system. Within the last decade, many provinces have transitioned…
The Economics of Matching: Stability and Incentives
- EconomicsMath. Oper. Res.
- 1982
The main focus of this paper is on determining the extent to which matching procedures can be designed which give agents the incentive to honestly reveal their preferences, and which produce stable matches.
Explicit vs. statistical targeting in affirmative action: Theory and evidence from Chicago's exam schools
- EconomicsJ. Econ. Theory
- 2020