Game theory | Game theory game classes
In game theory, a sequential game is a game where one player chooses their action before the others choose theirs. The other players must have information on the first player's choice so that the difference in time has no strategic effect. Sequential games are governed by the time axis and represented in the form of decision trees. Sequential games with perfect information can be analysed mathematically using combinatorial game theory. Decision trees are the extensive form of dynamic games that provide information on the possible ways that a given game can be played. They show the sequence in which players act and the number of times that they can each make a decision. Decision trees also provide information on what each player knows or does not know at the point in time they decide on an action to take. Payoffs for each player are given at the decision nodes of the tree. Extensive form representations were introduced by Neumann and further developed by Kuhn in the earliest years of game theory between 1910–1930. Repeated games are an example of sequential games. Players perform a stage game and the results will determine how the game continues. At every new stage, both players will have complete information on how the previous stages had played out. A discount rate between the values of 0 and 1 is usually taken into account when considering the payoff of each player. Repeated games illustrate the psychological aspect of games, such as trust and revenge, when each player makes a decision at every stage game based on how the game has been played out so far. Unlike sequential games, simultaneous games do not have a time axis so players choose their moves without being sure of the other players' decisions. Simultaneous games are usually represented in the form of payoff matrices. One example of a simultaneous game is rock-paper-scissors, where each player draws at the same time not knowing whether their opponent will choose rock, paper, or scissors. Extensive form representations are typically used for sequential games, since they explicitly illustrate the sequential aspects of a game. Combinatorial games are also usually sequential games. Games such as chess, infinite chess, backgammon, tic-tac-toe and Go are examples of sequential games. The size of the decision trees can vary according to game complexity, ranging from the small game tree of tic-tac-toe, to an immensely complex game tree of chess so large that even computers cannot map it completely. Games can be either strictly determined or determined. A strictly determined game only has one individually rational payoff profile in the 'pure' sense. For a game to be determined it can have only one individually rational payoff profile in the mixed sense. In sequential games with perfect information, a subgame perfect equilibrium can be found by backward induction. (Wikipedia).
SET is an awesome game that really gets your brain working. Play it! Read more about SET here: http://theothermath.com/index.php/2020/03/27/set/
From playlist Games and puzzles
Powered by https://www.numerise.com/ Formulating a linear programming problem
From playlist Linear Programming - Decision Maths 1
What are the three types of solutions to a system of equations
👉Learn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making up the system. The point of intersection of the gr
From playlist Solve a System of Equations by Graphing | Learn About
What do I have to know to solve a system of equations by graphing
👉Learn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making up the system. The point of intersection of the gr
From playlist Solve a System of Equations by Graphing | Learn About
Summary for solving a system of equations by graphing
👉Learn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making up the system. The point of intersection of the gr
From playlist Solve a System of Equations by Graphing | Learn About
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
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
mod-05 Lec-33 Extensive Games: Introduction
Game Theory and Economics by Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Game Theory and Economics | CosmoLearning.org Economics
Game Theory of Pride & Prejudice Ch.6: Filling Out Payoffs in a Strategic Disagreement
In this video, I show you how to come up with payoffs from scratch to use in a game theory analysis of a strategic disagreement. The example we use is the disagreement between Elizabeth and Charlotte in Ch. 6 of Jane Austen’s book, Pride and Prejudice. Charlotte thinks women should exagg
From playlist Summer of Math Exposition Youtube Videos
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
13. Sequential games: moral hazard, incentives, and hungry lions
Game Theory (ECON 159) We consider games in which players move sequentially rather than simultaneously, starting with a game involving a borrower and a lender. We analyze the game using "backward induction." The game features moral hazard: the borrower will not repay a large loan. We disc
From playlist Game Theory with Ben Polak
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Systems of linear equations seek a common solution for the unknowns across more than one equation. It can be very simple to calculate a solution using simple algebra. Alternatively you can use elementary row operations or even lines and planes in two- and three-dimensional space. At th
From playlist Introducing linear algebra
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"
Nexus Trimester - Stephanie Wehner (Delft University of Technology)
Device-independence in quantum cryptography Stephanie Wehner (Delft University of Technology) March 22, 2016 Abstract: While quantum cryptography offers interesting security guarantees, it is challenging to build good quantum devices. In practise, we will therefore typically rely on devi
From playlist Nexus Trimester - 2016 - Secrecy and Privacy Theme
Linear systems: 2 equations, 2 unknowns
Basic introduction on how to solve linear systems of equations. Several examples are discussed and geometrically depicted through Geogebra.
From playlist Intro to Linear Systems of Simultaneous Equations
16. Reinforcement Learning, Part 1
MIT 6.S897 Machine Learning for Healthcare, Spring 2019 Instructor: Fredrik D. Johansson View the complete course: https://ocw.mit.edu/6-S897S19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60B0PQXVQyGNdCyCTDU1Q5j Dr. Johansson covers an overview of treatment policie
From playlist MIT 6.S897 Machine Learning for Healthcare, Spring 2019
7. Machine Learning Tasks and Types
Machine learning is typically broken up into 4 types: supervised, unsupervised, semi-supervised, and reinforcement learning. But is this all? In this video, start by defining artificial intelligence, machine learning, and deep learning. We then cover the 14 tasks and types of machine learn
From playlist Materials Informatics
Yanjun Qi: "Making Deep Learning Interpretable for Analyzing Sequential Data about Gene Regulation"
Computational Genomics Winter Institute 2018 "Making Deep Learning Interpretable for Analyzing Sequential Data about Gene Regulation" Yanjun Qi, University of Virginia Institute for Pure and Applied Mathematics, UCLA March 1, 2018 For more information: http://computationalgenomics.bioin
From playlist Computational Genomics Winter Institute 2018
This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com
From playlist Chapter 2 - Vectors