Necessarily Optimal One|Sided Matchings

[2007.09079] Necessarily Optimal One-Sided Matchings - arXiv

We study the classical problem of matching n agents to n objects, where the agents have ranked preferences over the objects.

Necessarily Optimal One-Sided Matchings

Given a top-k preference profile P, a matching M is said to be necessarily Pareto op- timal (resp. necessarily rank-maximal) w.r.t. P if it is Pareto optimal ( ...

Necessarily Optimal One-Sided Matchings - Computer Science

Definition 3 (necessary Pareto optimality (NPO) and necessary rank-maximality (NRM)). Given a top-k preference profile P, a matching M is said to be necessarily ...

Necessarily Optimal One-Sided Matchings (Conference Paper)

Hosseini, H., Menon, V., Shah, N., & Sikdar, S. Necessarily Optimal One-Sided Matchings. Proceedings of the AAAI Conference on Artificial ...

Optimal Matchings with One-Sided Preferences: Fixed and Cost ...

We provide randomized algorithms in the fixed quota setting when the number of ranks is constant. We also study the problem under a cost-based ...

algorithms - Matching with One-sided Preferences

There's a related SO question, Stable marriage problem with only one side having preferences, which states the no-preference issue, but the ...

Optimal Matchings with One-Sided Preferences: Fixed and Cost ...

We consider the well-studied many-to-one bipartite matching problem of assigning applicants A to posts P where applicants rank posts in the ...

Stable Matching Problem : r/algorithms - Reddit

You can have more than one stable matching depending on the order asked but it will always be optimal to whoever made the proposal. I prefer to ...

A pessimist's approach to one-sided matching - ScienceDirect

Inspired by real-world applications such as the assignment of pupils to schools or the allocation of social housing, the one-sided matching ...

Online Elicitation of Necessarily Optimal Matchings - AAAI

only one ice pop of each kind is left, causing discussion on how to fairly divide the ice. Quickly, the group agrees that a rank-maximal allocation would be the ...

Online Elicitation of Necessarily Optimal Matchings - Rohit Vaish

One of the key settings in the area of matching under prefer- ences is the so-called house allocation or assignment prob- lem. In this problem ...

Social welfare in one-sided matchings: Random priority and beyond

Furthermore, we prove that the approximation ratio of all ordinal (not necessarily truthful-in-expectation) mechanisms is upper bounded by O ...

Reasoning about Optimal Stable Matchings under Partial Information

of agents constitute a necessary match; i.e., if they are matched in the employer-optimal stable ... optimal matching if it does not admit one or more super- ...

Reasoning about Optimal Stable Matchings under Partial Information

of agents constitute a necessary match; i.e., if they are matched in the employer-optimal stable ... optimal matching if it does not admit one or more super- ...

One-Sided Matching Markets (DRAFT: Not for distribution)

bination of perfect matchings of agents to goods such that the allocation made by each perfect matching is Pareto optimal. This is obvious if we choose the ...

The necessary part. We now show the other side of Theorem 4. That is, if. G ... Note: Optimal popular matchings. Discrete Applied. Mathematics, 157(14): ...

Fragile Stable Matchings - Stony Brook Center for Game Theory

see Knuth, 1976) with two extremal stable matchings, the firm-optimal one µF and the ... to converge to a stable matching, not necessarily the ...

A fully popular matching is not necessarily a min-size/max-size popular matching ... The matching M is an optimal solution to the max-weight perfect matching. LP ...

Solved Problem 2 (Stable Matchings). These are questions - Chegg

We are notnecessarily finding these matchings by the Gale-Shapley algorithm.(a) Show an example with n=2, where there are two different stable matchings.(b) ...

Matchings under One-Sided Preferences with Soft Quotas - IJCAI

Necessarily optimal one-sided matchings. Proceedings of the AAAI Conference on Artifi- cial Intelligence, 35(6):5481–5488, May 2021. [Huang et al., 2016] ...