Game theory equilibrium concepts
In game theory, an epsilon-equilibrium, or near-Nash equilibrium, is a strategy profile that approximatelysatisfies the condition of Nash equilibrium. In a Nash equilibrium, no player has an incentive to change hisbehavior. In an approximate Nash equilibrium, this requirement is weakened to allow the possibility that aplayer may have a small incentive to do something different. This may still be considered an adequatesolution concept, assuming for example status quo bias. This solution concept may be preferred to Nashequilibrium due to being easier to compute, or alternatively due to the possibility that in games of morethan 2 players, the probabilities involved in an exact Nash equilibrium need not be rational numbers. (Wikipedia).
Epsilon-Delta Definition of a Limit (Not Examinable)
This video introduces the formal definition for the limit of a function at a point. Presented by Norman Wildberger of the School of Mathematics and Statistics, UNSW.
From playlist Mathematics 1A (Calculus)
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
Ex: Limit Definition - Find Delta Values, Given Epsilon For a Limit
This video explains how to determine which delta values satisfy a given epsilon of a limit. http://mathispower4u.com
From playlist Limits
Ex 1: Limit Definition - Determine Delta for an Arbitrary Epsilon (Linear)
This video explains how to determine an expression of delta for an arbitrary epsilon that can be used to prove a limit exists. http://mathispower4u.com
From playlist Limits
ultimate introduction to the epsilon-delta definition of a limit
My most detailed introduction to the epsilon-delta definition of limits in calculus! The epsilon-delta definition of a limit is commonly considered the hardest topic in calculus 1 (it's also the important part at the beginning of real analysis). The best way to understand this precise defi
From playlist Epsilon-Delta definition of limits
Ex 2: Limit Definition - Determine Delta for an Arbitrary Epsilon (Quadratic)
This video explains how to determine an expression of delta for an arbitrary epsilon that can be used to prove a limit exists. http://mathispower4u.com
From playlist Limits
Epsilon delta definition of limit explained on an example
Epsilon delta definition of limit made easy
From playlist Summer of Math Exposition Youtube Videos
What exactly is a limit?? | Real numbers and limits Math Foundations 106 | N J Wildberger
In this video we aim to give a precise and simpler definition for what it means to say that: a rational polynumber on-sequence p(n) has a limit A, for some rational number A. Our definition is both much simpler and more logical than the usual epsilon -delta definition found in calculus tex
From playlist Math Foundations
Perfect conditional epsilon-equilibria of multi-stage games with infinite sets of signals & actions
Distinguished Visitor Lecture Series Perfect conditional epsilon-equilibria of multi-stage games with infinite sets of signals and actions Philip J. Reny The University of Chicago, USA
From playlist Distinguished Visitors Lecture Series
Kousha Etessami: The complexity of computing a quasi perfect equilibrium for n player extensive form
We study the complexity of computing/approximating several classic refinements of Nash equilibrium for n-player extensive form games of perfect recall EFGPR, including perfect, quasi-perfect, and sequential equilibrium. We show that, for all of these refinements, approximating one such equ
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Analysis of Mean-Field Games (Lecture 1) by Kavita Ramanan
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Selection (5), perturbation analysis.
This video describes how a technique called perturbation analysis can be used to examine equilibria such as those seen for overdominant alleles to see if the equilibria are stable or unstable.
From playlist TAMU: Bio 312 - Evolution | CosmoLearning Biology
Math 101 Introduction to Analysis 100515: Epsilon-N limit arguments
Examples of epsilon-N type limits. Simple case: translating the epsilon-condition into an equivalent N-condition. More complicated case: Implying the epsilon-condition with a stronger N-condition.
From playlist Course 6: Introduction to Analysis
Tamer Başar: "A General Theory for Discrete-Time Mean-Field Games"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "A General Theory for Discrete-Time Mean-Field Games" Tamer Başar - University of Illinois at Urbana-Champaign Abstract: In this lecture, I will present a general theory for mean-field games formul
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Pierre Degond: On the interplay between kinetic theory and game theory
Abstract: We propose a mean field kinetic model for systems of rational agents interacting in a game theoretical framework. This model is inspired from non-cooperative anonymous games with a continuum of players and Mean-Field Games. The large time behavior of the system is given by a macr
From playlist Mathematics in Science & Technology
Why Pretty Much Everything is a Harmonic Oscillator
Here we discuss why the harmonic oscillator is such an important and ubiquitous system. We give a basic summary of classical mechanics and attempt to both sketch a rigorous idea and focus on the connections that can be found between systems using mathematics. 0:00 - Introduction 2:23 - Ma
From playlist Summer of Math Exposition 2 videos
Chaitanya Swamy: Signaling in Bayesian Games
We study the optimization problem faced by an informed principal in a Bayesian game, who can reveal some information about the underlying random state of nature to the players (thereby influencing their payoffs) so as to obtain a desirable equilibrium. This yields the following signaling p
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Negative mobility in interacting particle systems by Pradeep Kumar Mohanty
Indian Statistical Physics Community Meeting 2018 DATE:16 February 2018 to 18 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate s
From playlist Indian Statistical Physics Community Meeting 2018
The precise definition of the limit EXPLAINED! (KristaKingMath)
► My Limits & Continuity course: https://www.kristakingmath.com/limits-and-continuity-course The precise definition of the limit, also called the epsilon-delta definition, is the proof of the concept of the limit. It proves the limit because it shows how, as you move closer and closer to
From playlist Calculus I
Communication complexity of approximate Nash equilibria - Aviad Rubinstein
Computer Science/Discrete Mathematics Seminar Topic:Communication complexity of approximate Nash equilibria Speaker: Aviad Rubinstein Affiliation: University of California, Berkeley Date: October 31, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics