Game theory game classes

Bimatrix game

In game theory, a bimatrix game is a simultaneous game for two players in which each player has a finite number of possible actions. The name comes from the fact that the normal form of such a game can be described by two matrices - matrix describing the payoffs of player 1 and matrix describing the payoffs of player 2. Player 1 is often called the "row player" and player 2 the "column player". If player 1 has possible actions and player 2 has possible actions, then each of the two matrices has rows by columns. When the row player selects the -th action and the column player selects the -th action, the payoff to the row player is and the payoff to the column player is . The players can also play mixed strategies. A mixed strategy for the row player is a non-negative vector of length such that: . Similarly, a mixed strategy for the column player is a non-negative vector of length such that: . When the players play mixed strategies with vectors and , the expected payoff of the row player is: and of the column player: . (Wikipedia).

Video thumbnail

Bernhard von Stengel: Algorithms for rank-1 bimatrix games

The lecture was held within the framework of the follow-up workshop to the Hausdorff Trimester Program: Combinatorial Optimization. Abstract: The rank of a bimatrix game is the matrix rank of the sum of the two payoff matrices. We show that games of rank 1 can be solved very fast: in pol

From playlist Follow-Up-Workshop "Combinatorial Optimization"

Video thumbnail

Rahul Savani: Polymatrix Games Algorithms and Applications

Polymatrix games are multi-player games that capture pairwise interactions between players. They are defined by an underlying interaction graph, where nodes represent players, and every edge corresponds to a two-player strategic form (bimatrix) game. This talk will be a short survey that w

From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"

Video thumbnail

Open Middle: Creating Trig Equations (Demo)

#OpenMiddle tasks serve as GREAT formative & summative items during this unfortunate time of more remote & hybrid learning. COVID or NO COVID, better for Ss to wrestle & reason with creating vs. giving them a set of Qs they’ll just quickly Google or PhotoMath. Here, an entire compilation

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Adding Vectors Geometrically: Dynamic Illustration

Link: https://www.geogebra.org/m/tsBer5An

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Network design games in presence of strategic adversaries by Prithwish Basu

Games, Epidemics and Behavior URL: http://www.icts.res.in/discussion_meeting/geb2016/ DATES: Monday 27 Jun, 2016 - Friday 01 Jul, 2016 VENUE : Madhava lecture hall, ICTS Bangalore DESCRIPTION: The two main goals of this Discussion Meeting are: 1. To explore the foundations of policy d

From playlist Games, Epidemics and Behavior

Video thumbnail

Trigonometry: Quick Bearing Illustrator

Link: https://www.geogebra.org/m/K78JzGk7

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

GeoGebra 3D Calculator: When to Use?

GeoGebra 3D Calculator is one of the five apps in Calculator Suite. https://www.geogebra.org/calculator

From playlist GeoGebra Apps Intro: Which to USE?

Video thumbnail

Trapezoid Midsegment Action!

GeoGebra Link: https://www.geogebra.org/m/bztqfhpr

From playlist Geometry: Dynamic Interactives!

Video thumbnail

Trigonometry and Bearings: Dynamic and Modifiable Illustrator

GeoGebra Link: https://www.geogebra.org/m/nXNFgdvf BGM: Sushi Friday

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Which Quadrant(s)? Trigonometry Quiz (with feedback)

Link: https://www.geogebra.org/m/NB6bpvR9 BGM: Andy Hunter

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Creating Trig Equations: Open Middle Exercise

Digital analogue of an #OpenMiddle exercise from Kevin Rees with conceptual feedback provided along the way. Using digits 1-9 no more than 1x each, create a valid trig equation: http://ow.ly/wSeG50HAJ80 Cosine version: https://www.geogebra.org/m/cgz8vna6. #GeoGebra

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Queerness and Video Games: Identity, Community & Design

From the Interactive Media & Games Seminar Series; Bonnie Ruberg, Provost's Postdoctoral Scholar in the Interactive Media and Games Division at the University of Southern California addresses how for decades LGBTQ people have been underrepresented in mainstream video games. Queerness in vi

From playlist Interactive Media & Games Seminars WINTER 2016

Video thumbnail

Unity Tutorial | How To Create Zombie Mobile VR Game In Unity3D | Session 06 | #unity3d | #gamedev

Don’t forget to subscribe! In this Unity tutorial, you will learn to create a zombie mobile VR game in Unity3D. This project is for any beginner, intermediate or expert developer in ( VR )Virtual Reality. The project will cover everything that is required to build and test a complete Zom

From playlist Create Zombie Mobile VR Game In Unity3D

Video thumbnail

Casual Gaming: Crash Course Games #11

Today, we’re moving on from game consoles to talk about a bigger shift that was happening in the gaming industry. In the mid 2000s, we saw a proliferation of Internet accessible devices and with them gaming would expand to a new audience. We’re going to talk about two types of games that a

From playlist Games

Video thumbnail

Stanford Seminar - How to Design Addictive Games

EE380: Computer Systems Colloquium Seminar How to Design Addictive Games Speaker: Chuck Clanton, Aratar A great game seduces its player into flow state. Since we know a lot about what flow state is and what it requires, you might imagine that game's design to be a lot of work, but not mys

From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series

Video thumbnail

O'Reilly Webcast: Mobile Gaming - Are We Casual Enough Yet?

Designing for the casual gaming market With the rise of mobile gaming we are seeing a shift from Triple-A companies back to small groups or single developers making games. Designing for the casual market is harder than you may think. In this webcast talk by Jesse Freeman, author of Buildi

From playlist O'Reilly Webcasts 2

Video thumbnail

Analog Minds: Learning Through Designing Tabletop Games

From the Interactive Media & Games Seminar Series; Chris Bennett with the Stanford Peace Innovation Lab, discusses when educators think of using games in learning environments, they typically assume digital games. But tabletop games have been used to teach all sorts of concepts including s

From playlist Interactive Media & Games Seminars FALL 2015

Video thumbnail

Periods of 3 Parent Trigonometric Functions: Without Words

Links: https://www.geogebra.org/m/dj8jwyNV https://www.geogebra.org/m/QNJMwctd BGM: Edward Shearmur

From playlist Trigonometry: Dynamic Interactives!

Video thumbnail

Artificial Intelligence for General Game Playing

From the Interactive Media & Games Seminar Series; Michael Genesereth, Associate Professor of Computer Science at Stanford University, examines the challenges of general game playing and techniques for meeting those challenges. He also describes the annual GGP competition; and talks about

From playlist Interactive Media & Games Seminars FALL 2015

Related pages

Nash equilibrium | Lemke–Howson algorithm | Zero-sum game | Simultaneous game | Game theory | Matrix (mathematics) | Reduction (complexity) | Linear complementarity problem | Normal-form game