Popular matchings in the marriage and roommates problems

P Biró, RW Irving, DF Manlove - … Conference, CIAC 2010, Rome, Italy, May …, 2010 - Springer
Popular matchings have recently been a subject of study in the context of the so-called
House Allocation Problem, where the objective is to match applicants to houses over which …

Popular mixed matchings

T Kavitha, J Mestre, M Nasre - Theoretical Computer Science, 2011 - Elsevier
We study the problem of matching applicants to jobs under one-sided preferences; that is,
each applicant ranks a non-empty subset of jobs under an order of preference, possibly …

Popular matching in roommates setting is NP-hard

S Gupta, P Misra, S Saurabh, M Zehavi - ACM Transactions on …, 2021 - dl.acm.org
An input to the Popular Matching problem, in the roommates setting (as opposed to the
marriage setting), consists of a graph G (not necessarily bipartite) where each vertex ranks …

Social welfare in one-sided matching markets without money

A Bhalgat, D Chakrabarty, S Khanna - International Workshop on …, 2011 - Springer
We study social welfare in one-sided matching markets where the goal is to efficiently
allocate n items to n agents that each have a complete, private preference list and a unit …

[HTML][HTML] Popular matchings in the weighted capacitated house allocation problem

CTS Sng, DF Manlove - Journal of Discrete Algorithms, 2010 - Elsevier
We consider the problem of finding a popular matching in the Weighted Capacitated House
Allocation problem (WCHA). An instance of WCHA involves a set of agents and a set of …

Welfare maximization and truthfulness in mechanism design with ordinal preferences

D Chakrabarty, C Swamy - Proceedings of the 5th conference on …, 2014 - dl.acm.org
In this paper, we study mechanism design problems in the ordinal setting wherein the
preferences of agents are described by orderings over outcomes, as opposed to specific …

Popular matchings: structure and algorithms

E McDermid, RW Irving - Journal of combinatorial optimization, 2011 - Springer
An instance of the popular matching problem (POP-M) consists of a set of applicants and a
set of posts. Each applicant has a preference list that strictly ranks a subset of the posts. A …

Computational Complexity of k-Stable Matchings

H Aziz, G Csáji, Á Cseh - International Symposium on Algorithmic Game …, 2023 - Springer
We study deviations by a group of agents in the three main types of matching markets: the
house allocation, the marriage, and the roommates models. For a given instance, we call a …

Capacitated rank-maximal matchings

K Paluch - International Conference on Algorithms and …, 2013 - Springer
We consider capacitated rank-maximal matchings. Rank-maximal matchings have been
considered before and are defined as follows. We are given a bipartite graph …

[HTML][HTML] Popular and clan-popular b-matchings

K Paluch - Theoretical Computer Science, 2014 - Elsevier
Suppose that each member of a set of agents has a preference list of a subset of houses,
possibly involving ties, and each agent and house has their capacity denoting the maximum …