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- 2021
- Working Paper
Deep Learning for Two-Sided Matching
By: Sai Srivatsa Ravindranatha, Zhe Feng, Shira Li, Jonathan Ma, Scott Duke Kominers and David Parkes
We initiate the use of a multi-layer neural network to model two-sided matching and to explore the design space between strategy-proofness and stability. It is well known that both properties cannot be achieved simultaneously but the efficient frontier in this design... View Details
Keywords: Strategy-proofness; Deep Learning; Two-Sided Platforms; Marketplace Matching; Balance and Stability
Srivatsa Ravindranatha, Sai, Zhe Feng, Shira Li, Jonathan Ma, Scott Duke Kominers, and David Parkes. "Deep Learning for Two-Sided Matching." Working Paper, July 2021.
- May 2021
- Article
Stability, Strategy-Proofness, and Cumulative Offer Mechanisms
By: John William Hatfield, Scott Duke Kominers and Alexander Westkamp
We consider the setting of many-to-one matching with contracts, where firms may demand multiple contracts, but each worker desires at most one contract. We introduce three novel conditions—observable substitutability, observable size monotonicity, and... View Details
Keywords: Matching With Contracts; Stability; Strategy-proofness; Substitutability; Size Monotonicity; Cumulative Offer Mechanism; Marketplace Matching; Balance and Stability
Hatfield, John William, Scott Duke Kominers, and Alexander Westkamp. "Stability, Strategy-Proofness, and Cumulative Offer Mechanisms." Review of Economic Studies 88, no. 3 (May 2021): 1457–1502.
- September 2019
- Article
Optimizing Reserves in School Choice: A Dynamic Programming Approach
By: Franklyn Wang, Ravi Jagadeesan and Scott Duke Kominers
We introduce a new model of school choice with reserves in which a social planner is constrained by a limited supply of reserve seats and tries to find an optimal matching according to a social welfare function. We construct the optimal distribution of reserves via a... View Details
Wang, Franklyn, Ravi Jagadeesan, and Scott Duke Kominers. "Optimizing Reserves in School Choice: A Dynamic Programming Approach." Operations Research Letters 47, no. 5 (September 2019): 438–446.
- 2020
- Working Paper
To Infinity and Beyond: Scaling Economic Theories via Logical Compactness
By: Yannai A. Gonczarowski, Scott Duke Kominers and Ran I. Shorrer
Many economic-theoretic models incorporate finiteness assumptions that, while introduced for simplicity, play a real role in the analysis. Such assumptions introduce a conceptual problem, as results that rely on finiteness are often implicitly nonrobust; for example,... View Details
Gonczarowski, Yannai A., Scott Duke Kominers, and Ran I. Shorrer. "To Infinity and Beyond: Scaling Economic Theories via Logical Compactness." Harvard Business School Working Paper, No. 19-127, June 2019. (Revised November 2020.)
- Article
Strategy-Proofness of Worker-Optimal Matching with Continuously Transferable Utility
By: Ravi Jagadeesan, Scott Duke Kominers and Ross Rheingans-Yoo
We give a direct proof of one-sided strategy-proofness for worker-firm matching under continuously transferable utility. A new “Lone Wolf” theorem (Jagadeesan et al., 2017) for settings with transferable utility allows us to adapt the method of proving one-sided... View Details
Keywords: Matching; Strategy-proofness; Lone Wolf Theorem; Rural Hospitals Theorem; Mechanism Design; Marketplace Matching
Jagadeesan, Ravi, Scott Duke Kominers, and Ross Rheingans-Yoo. "Strategy-Proofness of Worker-Optimal Matching with Continuously Transferable Utility." Games and Economic Behavior 108 (March 2018): 287–294.
- May 2017
- Article
Stable and Strategy-Proof Matching with Flexible Allotments
By: John William Hatfield, Scott Duke Kominers and Alexander Westkamp
We introduce a framework of matching with flexible allotments that can be used to model firms with cross-division hiring restrictions. Our framework also allows us to nest some prior models of matching with distributional constraints. Building upon our recent work on... View Details
Hatfield, John William, Scott Duke Kominers, and Alexander Westkamp. "Stable and Strategy-Proof Matching with Flexible Allotments." American Economic Review 107, no. 5 (May 2017): 214–219.
- 2017
- Working Paper
Minimizing Justified Envy in School Choice: The Design of New Orleans' OneApp
By: Atila Abdulkadiroglu, Yeon-Koo Che, Parag A. Pathak, Alvin E. Roth and Oliver Tercieux
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. The RSD also became the first district to use a mechanism based on Top... View Details
Keywords: Education; Decision Choices and Conditions; Marketplace Matching; Mathematical Methods; Design
Abdulkadiroglu, Atila, Yeon-Koo Che, Parag A. Pathak, Alvin E. Roth, and Oliver Tercieux. "Minimizing Justified Envy in School Choice: The Design of New Orleans' OneApp." NBER Working Paper Series, No. 23265, March 2017.
- May 2016
- Article
Matching with Slot-Specific Priorities: Theory
By: Scott Duke Kominers and Tayfun Sönmez
We introduce a two-sided, many-to-one matching with contracts model in which agents with unit demand match to branches that may have multiple slots available to accept contracts. Each slot has its own linear priority order over contracts; a branch chooses contracts by... View Details
Keywords: Matching With Contracts; Stability; Strategy-proofness; School Choice; Affirmative Action; Airline Seat Upgrades; Contracts; Market Design; Marketplace Matching; Balance and Stability
Kominers, Scott Duke, and Tayfun Sönmez. "Matching with Slot-Specific Priorities: Theory." Theoretical Economics 11, no. 2 (May 2016): 683–710.
- 2015
- Working Paper
Stability, Strategy-Proofness, and Cumulative Offer Mechanisms
By: John William Hatfield, Scott Duke Kominers and Alexander Westkamp
We consider the setting of many-to-one matching with contracts, where firms may
demand multiple contracts but each worker desires at most one contract. We introduce
three novel conditions—observable substitutability, observable size monotonicity,... View Details
Keywords: Matching With Contracts; Stability; Strategy-proofness; Substitutability; Size Monotonicity; Cumulative Offer Mechanism; Contracts; Market Design; Marketplace Matching; Balance and Stability
Hatfield, John William, Scott Duke Kominers, and Alexander Westkamp. "Stability, Strategy-Proofness, and Cumulative Offer Mechanisms." Working Paper, July 2015.
- 2015
- Working Paper
Strategy-Proofness, Investment Efficiency, and Marginal Returns: An Equivalence
By: John William Hatfield, Fuhito Kojima and Scott Duke Kominers
We show that a mechanism induces an agent to make efficient ex ante investment choices if and only if it rewards that agent with his marginal surplus; additionally, for an ex post efficient mechanism, these properties are equivalent to strategy-proofness for the agent.... View Details
Keywords: Strategy-proofness; Investment Efficiency; Providing Marginal Rewards; Vickrey-Clarke-Groves Mechanisms; Mechanism Design; Market Design; Human Capital
Hatfield, John William, Fuhito Kojima, and Scott Duke Kominers. "Strategy-Proofness, Investment Efficiency, and Marginal Returns: An Equivalence." Working Paper, January 2015.
- 2014
- Working Paper
Hidden Substitutes
By: John William Hatfield and Scott Duke Kominers
In this paper, we show that preferences exhibiting some forms of complementarity
in fact have an underlying substitutable structure. Specifically, we show that some
preferences that are not substitutable in the setting of many-to-one matching with
contracts become... View Details
Keywords: Many-to-One Matching; Many-to-Many Matching; Stability; Substitutes; Matching With Contracts; Slot-Specific Priorities; Sherlock; Market Design; Contracts; Marketplace Matching; Balance and Stability
Hatfield, John William, and Scott Duke Kominers. "Hidden Substitutes." Working Paper, September 2014.
- Article
Matching in Networks with Bilateral Contracts
By: John William Hatfield and Scott Duke Kominers
We introduce a model in which firms trade goods via bilateral contracts which specify a buyer, a seller, and the terms of the exchange. This setting subsumes (many-to-many) matching with contracts, as well as supply chain matching. When firms' relationships do not... View Details
Hatfield, John William, and Scott Duke Kominers. "Matching in Networks with Bilateral Contracts." American Economic Journal: Microeconomics 4, no. 1 (February 2012): 176–208.
- December 2009
- Article
Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match
By: Atila Abdulkadiroglu, Parag A. Pathak and Alvin E. Roth
The design of the New York City (NYC) High School match involved tradeoffs among efficiency, stability, and strategy-proofness that raise new theoretical questions. We analyze a model with indifferences—ties—in school preferences. Simulations with field data and the... View Details
Keywords: Decision Choices and Conditions; Secondary Education; Marketplace Matching; Performance Efficiency; Mathematical Methods; Motivation and Incentives; Strategy; Balance and Stability
Abdulkadiroglu, Atila, Parag A. Pathak, and Alvin E. Roth. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match." American Economic Review 99, no. 5 (December 2009). (AER links to access the Appendix and Downloadable Data Set.)
- 2009
- Working Paper
Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the New York City High School Match
By: Atila Abdulkadiroglu, Parag A. Pathak and Alvin E. Roth
- 2007
- Working Paper
Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match
By: Atila Abdulkadiroglu and Alvin E. Roth
Abdulkadiroglu, Atila, Parag A. Pathak, and Alvin E. Roth. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match." Harvard Business School Working Paper, No. 07-076, April 2007.