Stable matching | Fair item allocation

Envy-free matching

In economics and social choice theory, an envy-free matching (EFM) is a matching between people to "things", which is envy-free in the sense that no person would like to switch his "thing" with that of another person. This term has been used in several different contexts. (Wikipedia).

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Agnes Cseh: Popular matchings

We are given a bipartite graph where each vertex has a strict preference list ranking its neighbors. A matching M is stable if there is no unmatched pair ab, so that a and b both prefer each other to their partners in M. A matching M is popular if there is no matching M' such that the num

From playlist HIM Lectures 2015

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Matchings, Perfect Matchings, Maximum Matchings, and More! | Independent Edge Sets, Graph Theory

What are matchings, perfect matchings, complete matchings, maximal matchings, maximum matchings, and independent edge sets in graph theory? We'll be answering that great number of questions in today's graph theory video lesson! A matching in a graph is a set of edges with no common end-ve

From playlist Graph Theory

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Pattern Matching - Correctness

Learn how to use pattern matching to assist you in your determination of correctness. This video contains two examples, one with feedback and one without. https://teacher.desmos.com/activitybuilder/custom/6066725595e2513dc3958333

From playlist Pattern Matching with Computation Layer

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Proof: Regular Bipartite Graph has a Perfect Matching | Graph Theory

An r-regular bipartite graph, with r at least 1, will always have a perfect matching. We prove this result about bipartite matchings in today's graph theory video lesson using Hall's marriage theorem for bipartite matchings. Recall that a perfect matching is a matching that covers every ve

From playlist Graph Theory

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Jannik Matuschke: Maintaining perfect matchings

The lecture was held within the framework of the follow-up workshop to the Hausdorff Trimester Program: Combinatorial Optimization. Abstract: We investigate the minimum-cost perfect matching problem in metric spaces with two stages. In the first stage, an algorithm is confronted with a s

From playlist Follow-Up-Workshop "Combinatorial Optimization"

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Dieter Rautenbach: Restricted types of matchings

Abstract: We present new results concerning restricted types of matchings such as uniquely restricted matchings and acyclic matchings, and we also consider the corresponding edge coloring notions. Our focus lies on bounds, exact and approximative algorithms. Furthermore, we discuss some ma

From playlist Combinatorics

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D1 Q1 June 2013 (Replacement) Edexcel Maths A-Level

Powered by https://www.numerise.com/ D1 Q1 June 2013 (Replacement) Edexcel Maths A-Level

From playlist Decision Maths 1 June 2013 (Replacement) Edexcel

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Set Theory (Part 6): Equivalence Relations and Classes

Please feel free to leave comments/questions on the video and practice problems below! In this video, I set up equivalence relations and the canonical mapping. The idea of equivalence relation will return when we construct higher-level number systems, e.g.integers, from the natural number

From playlist Set Theory by Mathoma

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RubyConf 2021 - All comments must be haiku! Custom linting with RuboCop by Scott Moore, Kari Silva

RuboCop is great for keeping code quality high by enforcing community-driven Ruby standards in our codebases. But RuboCop can also be easily customized to enforce standards that are unique to our codebase, automatically checking for the things that are most important to us. In this worksh

From playlist RubyConf 2021

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Henry Adams (9/3/20): Fair division

Title: Fair division Abstract: Suppose five roommates need to pay $3,000 dollars of rent per month for their five-bedroom apartment. The five bedrooms are not equivalent: one is bigger, one is smaller, one has more windows, one is closer to the kitchen, one is painted neon green. So it is

From playlist AATRN 2020

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David Meyer (1/30/18): Some algebraic stability theorems for generalized persistence modules

From an algebraic point of view, generalized persistence modules can be interpreted as finitely-generated modules for a poset algebra. We prove an algebraic analogue of the isometry theorem of Bauer and Lesnick for a large class of posets. This theorem shows that for such posets, the int

From playlist AATRN 2018

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DEFCON 14: Hunting for Metamorphic Engines

Speakers: Mark Stamp, Assistant Professor, Department of Computer Science, San Jose State University Wing H. Wong, Student, San Jose State University Abstract: Metamorphism has been touted as a way to generate undetectable viruses and worms, and it has also been suggested as a potential s

From playlist DEFCON 14

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Markets for Centralized Allocation Problems - F. Echenique - 1/31/2020

"Markets for Centralized Allocation Problems: Fairness, Efficiency, and Property Rights" Federico Echenique, Allen and Lenabelle Davis Professor of Economics, Caltech Abstract: Economists study naturally occurring markets and their welfare properties, but it is also possible to create art

From playlist HSS Caltech + Finance 2020

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Photonic Spin Density of Light: Quantum Magnetometry, Acoustic Waves and Thermal....by Zubin Jacob

DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS: Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VE

From playlist Structured Light and Spin-Orbit Photonics - Edited

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A tale of two bases - Anne Dranowski

Short Talks by Postdoctoral Members Topic: A tale of two bases Speaker: Anne Dranowski Affiliation: Member, School of Mathematics Date: September 23, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Yang-Baxter maps: Lecture Three

Vladimir Bazhanov, Australian National University 16 August 2021 --------------------------------------------------------------------------------------------------------------------------- Course information: Professor Vladimir Bazhanov will give a short course of lectures on Yang-Baxter

From playlist SMRI Course: Yang-Baxter maps

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What are Equal Sets?

What are equal sets? Subsets in math is an important concept for understanding the definition of equality in set theory. In this video we define equality in sets, which is fairly simple. One of the properties of equal sets is that if sets A and B are equal, then A is a subset of B and B is

From playlist Set Theory

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Bruno Courcelle: Recognizable sets of graphs: algebraic and logical aspects

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Aspects of Computer Science

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Stream archive: Creating a Learning Management System (LMS) with Yew and Rust stream 5 (2023-02-10)

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/brookzerker

From playlist lms

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Introduction to Matching in Bipartite Graphs (Hall's Marriage Theorem)

This video introduces matching in bipartite graphs. mathispower4u.com

From playlist Graph Theory (Discrete Math)

Related pages

No-justified-envy matching | Bipartite graph | Rental harmony | House allocation problem | Matching (graph theory) | Social choice theory | Envy-free item allocation | Hall's marriage theorem | Envy-free pricing | Envy-free cake-cutting