Fair division | Pareto efficiency
Efficiency and fairness are two major goals of welfare economics. Given a set of resources and a set of agents, the goal is to divide the resources among the agents in a way that is both Pareto efficient (PE) and envy-free (EF). The goal was first defined by David Schmeidler and Menahem Yaari. Later, the existence of such allocations has been proved under various conditions. (Wikipedia).
This video introduced fair division. Site: http://mathispower4u.com
From playlist Fair Division
6A Matrix Reduction with Gauss Elimination-YouTube sharing.mov
The complicated issue of row reduction using elementary row operations (Gauss elimination).
From playlist Linear Algebra
Unit 5 - practice problem 1 question
From playlist Courses and Series
Algebra 1 2.09d - Rules for Division
Further discussion of rules for division. This video discusses dividing zero by a number, dividing a number by zero (not allowed!), and also the fact that division is not commutative and is not associative. Examples are included. From chapter 2 of the Algebra 1 course by Derek Owens.
From playlist Algebra 1 Chapter 2 (Selected Videos)
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
The Kernel of a Group Homomorphism – Abstract Algebra
The kernel of a group homomorphism measures how far off it is from being one-to-one (an injection). Suppose you have a group homomorphism f:G → H. The kernel is the set of all elements in G which map to the identity element in H. It is a subgroup in G and it depends on f. Different ho
From playlist Abstract Algebra
Unit 5 - pareto optimal allocations part 3
From playlist Courses and Series
Optimization Problems in Calculus
What good is calculus anyway, what does it have to do with the real world?! Well, a lot, actually. Optimization is a perfect example! If you want to figure out how to maximize your profits or minimize your costs, or if you want to maximize an area or minimize a distance, you are finding th
From playlist Calculus
Ex: Given the Cost and Demand Functions, Maximize Profit
This video explains how to maximize profit given the cost function and the demand function. Site: http://mathispower4u.com
From playlist Applications of Differentiation – Maximum/Minimum/Optimization Problems
Converting Constrained Optimization to Unconstrained Optimization Using the Penalty Method
In this video we show how to convert a constrained optimization problem into an approximately equivalent unconstrained optimization problem using the penalty method. Topics and timestamps: 0:00 – Introduction 3:00 – Equality constrained only problem 12:50 – Reformulate as approximate unco
From playlist Optimization
Foundations of Liberal Equality - Ronald Dworkin (1988)
Ronald Dworkin gives the first of two lectures on the foundations of liberalism. This is part of the Tanner Lectures. 00:00 Story 03:33 Lecture 1:07:57 Q&A #Philosophy #PoliticalPhilosophy #Ethics
From playlist Social & Political Philosophy
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
HOW IT WORKS: WW2 Tank Factories
Manufacturing process for heavy equipment on production assembly lines during the 1940s.
From playlist HOW IT WORKS
Daichi Takeuchi - On local epsilon factors of the vanishing cycles of isolated singularities
The Hasse-Weil zeta function of a regular proper flat scheme over the integers is expected to extend meromorphically to the whole complex plane and satisfy a functional equation. The local epsilon factors of vanishing cycles are the local factors of the constant term in the functional equa
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
IU PTI Workshop: IBM High Performance Computing with NVIDIA
Presented January 26, 2017. Dramatic shifts in the information technology industry offer new kinds of performance capabilities and throughput. Professionals in HPC, Deep Learning, Big Data Analytics and Life Sciences learned more about industry trends & directions and IT solutions from NV
From playlist Seminars/Workshops
How to solve differential equations by substitution
Free ebook http://tinyurl.com/EngMathYT A basic example showing how substitutions can solve differential equations. The method is a very powerful technique.
From playlist Differential equations
Equally sharing a cake between three people - Numberphile
Audible (30-day trial, free audio book): https://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ This video features Dr Hannah Fry. More videos with Hannah: http://bit.ly/hannah_vids Hannah's website: http://www.hannahfry.co.uk Her book mentioned is "The Mathe
From playlist Women in Mathematics - Numberphile
Futurism and Constructivism: Crash Course Theater #39
It's time to go Back...to the Future. By which I mean, we're going back into the past to talk about Futurism. Which seems like it would be cool, but it was started by this terrible guy Martinetti, who also wrote the Italian Fascist manifesto. He was just the worst, but, at least he was the
From playlist Crash Course Theater and Drama
Lecture 17. Isomorphism theorems. Free modules
0:00 0:19 1st isomorphism theorem 1:15 2nd isomorphism theorem 4:56 3rd isomorphism theorem 9:40 Submodules of a quotient module 12:55 Generators 18:34 Finitely generated modules 30:21 Cautionary example: not every submodule of a finitely generated module is finitely generated 33:18 Linea
From playlist Abstract Algebra 2