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Comparing school choice and college admissions mechanisms by their strategic accessibility
Theoretical Economics. 2021. No. 16(3). P. 881-909.
Bonkoungou S., Nesterov A. S.
Dozens of school districts and college admissions systems around the world have reformed their admissions rules in recent years. As the main motivation for these reforms, the policymakers cited the strategic flaws of the rules in place: students had incentives to game the system. However, after the reforms, almost none of the new rules became strategy-proof. We explain this puzzle. We show that the rules used after the reforms are less prone to gaming according to a criterion called “strategic accessibility”: each reform expands the set of schools wherein each student can never get admission by manipulation. We also show that the existing explanation of the puzzle due to Pathak and Sönmez (2013) is incomplete.
Keywords: college admissionsmanipulabilityschool choicemarket designSchool Choice mechanismsCollege Admission Mechanisms
Publication based on the results of:
Bonkoungou S., Nesterov A. S., / National Research University Higher School of Economics. Series WP BRP "Basic research program". 2021. No. 249.
Vulnerability to manipulation is a threat to successful matching market design. However, some manipulation is often inevitable and the mechanism designer wants to compare manipulable mechanisms and pick the best. Real-life examples include reforms in the entry-level medical labor market in the US (1998), school admissions systems in New York (2004), Chicago (2009-2010), Denver (2012), some cities in ...
Added: September 6, 2021
Nesterov A. S., Минибаев К. Р., Ломакин А. С., Economics Letters 2023
We examine incentive compatibility of various school choice mechanisms as measured by the number of manipulating students. We find that Boston with Skips Mechanism, Secure Boston Mechanism, and Chinese Mechanism may have more manipulating students than Boston Mechanism. Similarly, Taiwan Mechanism with smaller deductions may induce more manipulating students than Taiwan Mechanism with larger deductions. ...
Added: March 10, 2024
Nesterov A. S., Bonkoungou S., / Высшая школа экономики. Series WP BRP "Economics/EC". 2020.
Recently, many matching systems around the world have been reformed. These reforms responded to objections that the matching mechanisms in use were unfair and manipulable. Surprisingly, the mechanisms remained unfair even after there forms: the new mechanisms may induce an out come with a blocking student who desires and deserves a school which she did ...
Added: August 26, 2020
Nesterov A. S., Theoretical Economics 2022 P. 1-28
In this paper we investigate when a series of reforms of school admissions mechanisms are motivated by fairness concerns. Prior to the reforms as well as after, the mechanisms are vulnerable to manipulation and unfair as they may have blocking students who miss schools that they are entitled to. We show that some of these ...
Added: December 5, 2022
Nesterov A. S., Минибаев К. Р., Ломакин А. С., Economics Letters 2023
We examine incentive compatibility of various school choice mechanisms as measured by the number of manipulating students. We find that Boston with Skips Mechanism, Secure Boston Mechanism, and Chinese Mechanism may have more manipulating students than Boston Mechanism. Similarly, Taiwan Mechanism with smaller deductions may induce more manipulating students than Taiwan Mechanism with larger deductions. ...
Added: October 6, 2023
Bonkoungou S., Alexander Nesterov, Theoretical Economics 2023 Vol. 18 No. 3 P. 965-991
Manipulability is a threat to the successful design of centralized matching markets. However, in many applications some manipulation is inevitable and the designer wants to compare manipulable mechanisms. We count the number of agents with an incentive to manipulate and rank mechanisms by their level of manipulability. This ranking sheds a new light on practical ...
Added: December 9, 2022
Nesterov A. S., Bonkoungou S., / Cornell University. Series Theoretical Economics "arxiv.org". 2020.
Recently dozens of school districts and college admissions systems around the world have reformed their admission rules. As a main motivation for these reforms the policymakers cited strategic flaws of the rules: students had strong incentives to game the system, which caused dramatic consequences for non-strategic students. However, almost none of the new rules were ...
Added: October 29, 2020
Nesterov A. S., Rospuskova O., Rubtsova S., Social Choice and Welfare 2024 P. 1-30
We study the school choice problem and propose a new criterion for comparing non-strategy-proof mechanisms: robustness to manipulations. Mechanism A is more robust than mechanism B if each student (given any preferences of this student and any profile of schools’ priorities) can potentially access a smaller set of schools via a profitable manipulation under mechanism A than under mechanism B. This criterion strengthens the two ...
Added: March 10, 2024
Nesterov A. S., Journal of Economic Theory 2017 No. 170 P. 145-168
I consider the problem of allocating N indivisible objects among N agents according to their preferences when transfers are absent and an outside option may exist. I study the tradeoff between fairness and efficiency in the class of strategy-proof mechanisms. The main finding is that for strategy-proof mechanisms the following efficiency and fairness criteria are mutually incompatible: (1) ex-post efficiency and envy-freeness, (2) ordinal efficiency and weak envy-freeness, and (3) ordinal ...
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Parshakov P., Shakina E., Barajas A., Economic Research-Ekonomska Istraživanja 2022 Vol. 35 No. 1 P. 122-142
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М. : КноРус, 2012
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Design/methodology/approach
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