Non-cooperative games | Game theory equilibrium concepts
In game theory, a Perfect Bayesian Equilibrium (PBE) is an equilibrium concept relevant for dynamic games with incomplete information (sequential Bayesian games). It is a refinement of Bayesian Nash equilibrium (BNE). A perfect Bayesian equilibrium has two components -- strategies and beliefs: * The strategy of a player in given information set specifies his choice of action in that information set, which may depend on the history (on actions taken previously in the game). This is similar to a sequential game. * The belief of a player in a given information set determines what node in that information set he believes the game has reached. The belief may be a probability distribution over the nodes in the information set, and is typically a probability distribution over the possible types of the other players. Formally, a belief system is an assignment of probabilities to every node in the game such that the sum of probabilities in any information set is 1. The strategies and beliefs should satisfy the following conditions: * Sequential rationality: each strategy should be optimal in expectation, given the beliefs. * Consistency: each belief should be updated according to the equilibrium strategies, the observed actions, and Bayes' rule on every path reached in equilibrium with positive probability. On paths of zero probability, known as off-equilibrium paths, the beliefs must be specified but can be arbitrary. A perfect Bayesian equilibrium is always a Nash equilibrium. (Wikipedia).
Nash Equilibriums // How to use Game Theory to render your opponents indifferent
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From playlist Game Theory
Equilibrium occurs when the overall state of a system is constant. Equilibrium can be static (nothing in the system is changing), or dynamic (little parts of the system are changing, but overall the state isn't changing). In my video, I'll demonstrate systems in both types of equilibrium,
From playlist Physics
2D Equilibrium -- Balancing Games
How does everything even out? Learn what 2D Equilibrium is and how it effects the balance of life. License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions
From playlist Measurement
Heterogeneous Equilibrium - Homogeneous Equilibrium
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From playlist Chemistry
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From playlist Chemistry
What Is Dynamic Equilibrium? | Reactions | Chemistry | FuseSchool
What Is Dynamic Equilibrium? | Reactions | Chemistry | FuseSchool Learn about dynamic equilibrium, the conditions required for dynamic equilibrium to be reached and examples of systems at equilibrium. SUPPORT US ON PATREON https://www.patreon.com/fuseschool SUBSCRIBE to the FuseSchool
From playlist CHEMISTRY: Reactions
Equilibrium Solutions and Stability of Differential Equations (Differential Equations 36)
https://www.patreon.com/ProfessorLeonard Exploring Equilibrium Solutions and how critical points relate to increasing and decreasing populations.
From playlist Differential Equations
Jules Hedges - compositional game theory - part IV
Compositional game theory is an approach to game theory that is designed to have better mathematical (loosely “algebraic” and “geometric”) properties, while also being intended as a practical setting for microeconomic modelling. It gives a graphical representation of games in which the flo
From playlist compositional game theory
Chemical Equilibrium Definition
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From playlist Chemistry
Stability Analysis, State Space - 3D visualization
Introduction to Stability and to State Space. Visualization of why real components of all eigenvalues must be negative for a system to be stable. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: William Green Students learned basics in modeling for data analysis and also how to build valid models to tackle chemical engineering problems. License
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Live CEOing Ep 459: Language Design in Wolfram Language [Game Theory]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wo
From playlist Behind the Scenes in Real-Life Software Design
Statistical Rethinking Winter 2019 Lecture 01
Lecture 01 of the Dec 2018 through March 2019 edition of Statistical Rethinking: A Bayesian Course with R and Stan.
From playlist Statistical Rethinking Winter 2019
Complexity, Phase Transitions, and Inference by Cristopher Moore (part 1)
There is a deep analogy between statistical inference and statistical physics. I will give a friendly introduction to both of these fields. I will then discuss phase transitions in problems like community detection in networks, and clustering of sparse high-dimensional data, where if our
From playlist School on Current Frontiers in Condensed Matter Research
Game theory was originally proposed to model the economic behavior of rational agents. Besides the introduction of influential concepts in economics and finance, it provided useful tools in other human-related fields such as sociology, politics and military strategy. The framework appeared
From playlist Wolfram Technology Conference 2021
Marcelo Pereyra: Bayesian inference and mathematical imaging - Lecture 2: Markov chain Monte Carlo
Bayesian inference and mathematical imaging - Part 2: Markov chain Monte Carlo Abstract: This course presents an overview of modern Bayesian strategies for solving imaging inverse problems. We will start by introducing the Bayesian statistical decision theory framework underpinning Bayesi
From playlist Probability and Statistics
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"
11e Machine Learning: Markov Chain Monte Carlo
A lecture on the basics of Markov Chain Monte Carlo for sampling posterior distributions. For many Bayesian methods we must sample to explore the posterior. Here's some basics.
From playlist Machine Learning
ML Tutorial: Adversarial and Competitive Methods in Machine Learning (Amos Storkey)
Machine Learning Tutorial at Imperial College London: Adversarial and Competitive Methods in Machine Learning Amos Storkey (University of Edinburgh) October 28, 2015
From playlist Machine Learning Tutorials
Lien-Yung Kao: Unique equilibrium states for geodesic flows over manifolds without focal-points
We study dynamics of geodesic flows over closed surfaces of genus greater than or equal to 2 without focal points. Especially, we prove that there is a large class of potentials having unique equilibrium states, including scalar multiples of the geometric potential, provided the scalar is
From playlist Jean-Morlet Chair - Pollicott/Vaienti