Hemicontinuous Correspondences

preview_player
Показать описание
Upper hemicontinuous and lower hemicontinuous correspondences. Definitions, intuition, and examples.

Watch for the sequel: a video with a number of examples, and with several additional important properties of correspondences. Coming soon --- but not too soon.
  1. Arizona Math Camp
  2. UHC corespondence
  3. LHC correspondence
  4. upper-semicontinuous
  5. lower-semicontinuous
Рекомендации по теме
Hemicontinuous Correspondences 0:29:45

Hemicontinuous Correspondences

Hemicontinuity of Correspondences: 0:36:05

Hemicontinuity of Correspondences: Examples

06-1 Continuity of 0:10:19

06-1 Continuity of Correspondences

Upper Hemicontinuity, Lower 0:08:40

Upper Hemicontinuity, Lower Hemicontinuity and relevance to Game Theory

Correspondences 0:26:25

Correspondences

Math-S400: lecture XII 0:37:40

Math-S400: lecture XII - correspondences, upper and lower hemicontinuity

Upper Hemicontinuity of 0:38:48

Upper Hemicontinuity of the Budget Set Correspondence

Upper and Lower 0:06:01

Upper and Lower Hemicontinuity Practice: Example #1

Lower Hemicontinuity of 0:17:56

Lower Hemicontinuity of the Budget Set Correspondence

06-2 Closed Graphs 0:09:12

06-2 Closed Graphs and Fixed Points of Correspondences

Preliminaries for Recursive 0:07:08

Preliminaries for Recursive Macroeconomics (Part 5/5): Theorem of A Maximum

Continuity of Correspondence: 0:08:51

Continuity of Correspondence: UHC and LHC | Easy lecture 17 | Real Analysis

The Maximum Theorem 0:24:37

The Maximum Theorem

6.7 - Applications 0:20:33

6.7 - Applications

07-1 The Theorem 0:11:10

07-1 The Theorem of the Maximum (Part 1)

Mathematical Analysis - 1:28:27

Mathematical Analysis - Session 19

Lecture 3(A): Quantifiers 0:35:02

Lecture 3(A): Quantifiers and Functions 2

Closed sets and 0:14:37

Closed sets and proper, lower semicontinuous functions

Math-S400: Lecture XIX 0:36:26

Math-S400: Lecture XIX - Kakutani's fixed point theorem

C. Guiver. Passivity 0:49:20

C. Guiver. Passivity theorems for forced Lur'e inclusions and equations

Larry Samuelson talk 0:58:47

Larry Samuelson talk on 'Substitutes' in the One World Mathematical Game Theory Seminar

Mathematics for Insurance 1:49:56

Mathematics for Insurance and Finance

FPTA Webinar1 0:59:15

FPTA Webinar1

[Special Lectures at 1:41:51

[Special Lectures at UTokyo] Towards a General Theory of Markets with Indivisible Goods #4

Комментарии
Автор

you are a great teacher! you don't speak with a monotone voice like other professors and have such a kind tone that makes me want to listen...

ipekergin
Автор

You are an amazing teacher. I understood everything. Thank you so much!

andrearamosbonilla
Автор

A huge thanks ! I can’t believe how simple you made the concepts, that was a great help !

davimeaille
Автор

Oh God, I finally got it. Thank you so much for that, professor.

dd_piano
Автор

Dear prof, your explanation is super clear, danke schön!

hsinchen
Автор

You have an amazing depth of knowledge and ability to explain every concept. Thanks!

mightym
Автор

Thank you for sharing this content with us!
Just as a short addition: We are checking image for ∀V, but the domain for ∃U.

berke
Автор

I loved the intuition that you explained! everything is much clear than my lecture notes!

mafe
Автор

Professor...I have a question here. If f(x) is a subset of V then the intersection between f(x) and V is not a null set. This is of course not true the other way as you showed. But if we replace the part f(x) is a subset of V in the definition of UHC by this implication then I am arriving at the definition of LHC which doesn't seem right. I am doing something wrong here for sure. Will be grateful if you help me to clear my doubt

uttiyapaul
Автор

That intuition is great. Thanks professor!!

felipeoliveira
Автор

Awesome lecture.. your talk make the concept so basic

vikasshukla
Автор

Did you randomly come up with values for V, to determine if it was UHC? if so wouldn't that make any set UHC if you want it to be.

quinnpisani
Автор

These lectures are phenomenal. Can you do some videos on measure theory and advanced functional analysis too? As a PhD scholar, it would be really helpful for writing papers on choice theory and general equilibrium.

arkarupbasumallik