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We define and study obvious strategy-proofness with respect to a partition of the set of agents. It encompasses strategy-proofness as a special case when the partition is the coarsest one and obvious strategy-proofness when the partition is…

Theoretical Economics · Economics 2024-09-10 R. Pablo Arribillaga , Jordi Massó , Alejandro Neme

The theory of two-sided matching has been extensively developed and applied to many real-life application domains. As the theory has been applied to increasingly diverse types of environments, researchers and practitioners have encountered…

Computer Science and Game Theory · Computer Science 2024-09-25 Kei Kimura , Kwei-guu Liu , Zhaohong Sun , Kentaro Yahiro , Makoto Yokoo

In their seminal paper that initiated the field of algorithmic mechanism design, \citet{NR99} studied the problem of designing strategyproof mechanisms for scheduling jobs on unrelated machines aiming to minimize the makespan. They provided…

Computer Science and Game Theory · Computer Science 2022-09-12 Eric Balkanski , Vasilis Gkatzelis , Xizhi Tan

We study stable matchings that are robust to preference changes in the two-sided stable matching setting of Gale and Shapley [GS62]. Given two instances $A$ and $B$ on the same set of agents, a matching is said to be robust if it is stable…

Computer Science and Game Theory · Computer Science 2026-01-14 Rohith Reddy Gangam , Tung Mai , Nitya Raju , Vijay V. Vazirani

Consider the problem of assigning indivisible objects to agents with strict ordinal preferences over objects, where each agent is interested in consuming at most one object, and objects have integer minimum and maximum quotas. We define an…

Theoretical Economics · Economics 2020-12-22 Marek Bojko

Consider a cyclically ordered collection of $r$ equinumerous agent sets with strict preferences of every agent over the agents from the next agent set. A weakly stable cyclic matching is a partition of the set of agents into disjoint union…

Combinatorics · Mathematics 2019-11-19 Boris Pittel

Consider the object allocation (one-sided matching) model of Shapley and Scarf (1974). When final allocations are observed but agents' preferences are unknown, when might the allocation be in the core? This is a one-sided analogue of the…

Theoretical Economics · Economics 2023-08-08 Andrew Tai

In bipartite matching problems, agents on two sides of a graph want to be paired according to their preferences. The stability of a matching depends on these preferences, which in uncertain environments also reflect agents' beliefs about…

Computer Science and Game Theory · Computer Science 2025-11-10 Jonathan Shaki , Jiarui Gan , Sarit Kraus

We present partial strategyproofness, a new, relaxed notion of strategyproofness for studying the incentive properties of non-strategyproof assignment mechanisms. Informally, a mechanism is partially strategyproof if it makes truthful…

Computer Science and Game Theory · Computer Science 2020-08-04 Timo Mennle , Sven Seuken

In this paper we consider stable matchings subject to assignment constraints. These are matchings that require certain assigned pairs to be included, insist that some other assigned pairs are not, and, importantly, are stable. Our main…

Theoretical Economics · Economics 2024-06-14 Gregory Gutin , Philip R. Neary , Anders Yeo

Motivated by a problem of scheduling unit-length jobs with weak preferences over time-slots, the random assignment problem (also called the house allocation problem) is considered on a uniform preference domain. For the subdomain in which…

Computer Science and Game Theory · Computer Science 2014-12-19 Jay Sethuraman , Chun Ye

We study a centralized discrete-time dynamic two-way matching model with finitely many agent types. Agents arrive stochastically over time and join their type-dedicated queues waiting to be matched. We focus on availability-based policies…

Data Structures and Algorithms · Computer Science 2026-02-19 Süleyman Kerimov , Pengyu Qian , Mingwei Yang , Sophie H. Yu

Various extensions of the temporal logic ATL have recently been introduced to express rich properties of multi-agent systems. Among these, ATLsc extends ATL with strategy contexts, while Strategy Logic has first-order quantification over…

Logic in Computer Science · Computer Science 2013-07-18 François Laroussinie , Nicolas Markey

Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

Computer Science and Game Theory · Computer Science 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen

Stable marriage of a two-sided market with unit demand is a classic problem that arises in many real-world scenarios. In addition, a unique stable marriage in this market simplifies a host of downstream desiderata. In this paper, we explore…

Computer Science and Game Theory · Computer Science 2024-08-05 Kartik Gokhale , Amit Kumar Mallik , Ankit Kumar Misra , Swaprava Nath

The Deferred Acceptance (DA) algorithm is stable and strategy-proof, but can produce outcomes that are Pareto-inefficient for students, and thus several alternative mechanisms have been proposed to correct this inefficiency. However, we…

Theoretical Economics · Economics 2025-06-16 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

Computer Science and Game Theory · Computer Science 2020-03-05 Daniel Lehmann

The Deferred Acceptance (DA) mechanism can generate inefficient placements. Although Pareto-dominant mechanisms exist, it remains unclear which and how many students could improve. We characterize the set of unimprovable students and show…

Theoretical Economics · Economics 2025-05-20 Josue Ortega , Gabriel Ziegler , R. Pablo Arribillaga , Geng Zhao

Centralized assignment markets have historically relied on Deferred-Acceptance (DA) algorithms, which do not incorporate multiple objectives into the assignment. In this work, we propose an optimization-based many-to-one assignment…

Optimization and Control · Mathematics 2025-09-19 Dimitris Bertsimas , Carol Gao