In a matching problem between students and schools, a mechanism is said to be robustly stable if it is stable, strategy …-proof, and immune to a combined manipulation, where a student first misreports her preferences and then blocks the matching that …

notions of fairness in lottery design based on ex-ante stability. This framework unifies known many-to-one and one …-sided matching models. We show that the NYC/Boston mechanism fails to satisfy these fairness properties. We then propose two new … ex-ante stability, equal treatment, and constrained ordinal-Pareto-efficiency. …

We study a two-sided matching market with a set of heterogeneous firms and workers in an environment where jobs are … workers are gross substitutes to each firm. It turns out that by introducing job security, stability and efficiency may still …

A standing question in the theory of matching markets is how to define stability under incomplete information. This … possible degree of rationality that can be ascribed to their proponents. A matching is deemed ``stable'' if maintaining the … ``incomplete-information stability,'' a cooperative solution concept put forward by Liu, Mailath, Postlewaite and Samuelson (2014 …

This paper develops a framework for studying repeated matching markets. The model departs from the Gale …-Shapley matching model by having a fixed set of long-lived players (firms) match with a new generation of short-lived players (workers …) in every period. I define history-dependent and self-enforcing matching processes in this repeated matching environment …

military cadet matching. We develop a theory of matching markets under floor constraints. We introduce a stability notion …, which we call floor respecting stability, for markets in which (hard) floor constraints must be respected. A matching is …Floor constraints are a prominent feature of many matching markets, such as medical residency, teacher assignment, and …

In a general model of trading networks with bilateral contracts, we propose a suitably adapted chain stability concept … that plays the same role as pairwise stability in two-sided settings. We show that chain stability is equivalent to … stability if all agents' preferences are jointly fully substitutable and satisfy the Laws of Aggregate Supply and Demand. In the …