Game theory | Theorems in statistics | Bayesian statistics | Probability theorems

Aumann's agreement theorem

Aumann's agreement theorem was stated and proved by Robert Aumann in a paper titled "Agreeing to Disagree", which introduced the set theoretic description of common knowledge. The theorem concerns agents who share a common prior and update their probabilistic beliefs by Bayes' rule. It states that if the probabilistic beliefs of such agents, regarding a fixed event, are common knowledge then these probabilities must coincide. Thus, agents cannot agree to disagree, that is have common knowledge of a disagreement over the posterior probability of a given event. (Wikipedia).

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Applying reimann sum for the midpoint rule and 3 partitions

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

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When Does Exponentiation Commute ? (Part 2)

In this video, we continue the discussion of finding (x,y) pairs that will commute under exponentiation: x^y = y^x. This time, we will find another way of writing Euler's number and solve the equation x^y = y^x for y with the help of the Lambert W function. Ideas were adapted from the fol

From playlist Math

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Fubini's Theorem

This video states Fubini's Theorem and illustrated the theorem graphically. http://mathispower4u.wordpress.com/

From playlist Double Integrals

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Luciano Campi: "Correlated equilibria and mean-field games"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Correlated equilibria and mean-field games" Luciano Campi - London School of Economics and Political Science Abstract: Mean field games are limit models for symmetric N-player games, as N tends to

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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Conformal field theory and statistical mechanics (Lecture - 04) by John Cardy

Bangalore School on Statistical Physics - VIII DATE: 28 June 2017 to 14 July 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru This advanced level school is the eighth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in s

From playlist Bangalore School on Statistical Physics - VIII

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How to use midpoint rienmann sum with a table

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

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A Mind on Strike - Remembering John Nash

The last Years of of Nobel & Abel Laureate John F. Nash with Interviews of: Louis Nirenberg John Milnor Robert Aumann Reinhard Selten Cédric Villani Marvin Minsky Background: The Heidelberg Laureate Forum Foundation (HLFF) annually organizes the Heidelberg Laureate Forum (HLF), which

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Euler's formulas, Rodrigues' formula

In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5

From playlist Algebra

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Michael Wibmer 3/11/16 Part 1

Title: Linear Differential Equations and Groups Defined by Difference Equations

From playlist Spring 2016

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Euler's Differential Equation Introduction

Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! â–ºPRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithem

From playlist Differential Equations

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3. Computing Equilibrium

Financial Theory (ECON 251) Our understanding of the economy will be more tangible and vivid if we can in principle explain all the economic decisions of every agent in the economy. This lecture demonstrates, with two examples, how the theory lets us calculate equilibrium prices and all

From playlist Financial Theory with John Geanakoplos

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Michael Wibmer

Solving difference equations in sequences It is known that a finite system of algebraic difference equations has a solution in the ring of sequences if and only if the difference ideal it generates contains 1. Moreover, there exists an algorithm that determines whether or not 1 lies in th

From playlist DART X

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High dimensional expansion and agreement testing - Irit Dinur

Computer Science/Discrete Mathematics Seminar II Topic: High dimensional expansion and agreement testing Speaker: Irit Dinur Affiliation: Weizmann Institute of Science; Visiting Professor, School of Mathematics Date: March 31, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Applying iram to a table of values

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

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Roger Penrose - Forbidden crystal symmetry in mathematics and architecture

Sir Roger Penrose provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in design and architecture. It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-fold, 3-fold, 4-fold, and 6-fold s

From playlist Mathematics

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How Game Theory Solved a Religious Mystery

A man dies leaving insufficient funds for debtors claiming 100, 200, and 300. How should his estate be divided up? This problem appears in the Talmud with some unusual answers. It turns out the answers are consistent with a game theory principle! *I have been made aware of a couple of typ

From playlist Game Theory

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Forbidden Crystal Symmetry - Roger Penrose

Oxford Mathematics Public Lectures: Roger Penrose - Forbidden Crystal Symmetry: Mathematics and architecture World-renowned mathematician Sir Roger Penrose, Oxford University, describes how crystalline symmetries are necessarily 2-fold, 3-fold, 4-fold, or 6-fold.

From playlist The Roger Penrose Playlist

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Unique and 2:2 Games, Grassmannians, and Expansion - Irit Dinur

Hermann Weyl Lectures Topic: Unique and 2:2 Games, Grassmannians, and Expansion Speaker: Irit Dinur Affiliation: Weizmann Institute of Science; Visiting Professor Affiliation: School of Mathematics Date: November 20, 2019 For more video please visit http://video.ias.edu

From playlist Hermann Weyl Lectures

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Euler's Identity (Equation)

This video given Euler's identity, reviews how to derive Euler's formula using known power series, and then verifies Euler's identity with Euler's formula http://mathispower4u.com

From playlist Mathematics General Interest

Related pages

Epistemic modal logic | Common knowledge (logic)