In game theory, a game is said to be a potential game if the incentive of all players to change their strategy can be expressed using a single global function called the potential function. The concept originated in a 1996 paper by Dov Monderer and Lloyd Shapley. The properties of several types of potential games have since been studied. Games can be either ordinal or cardinal potential games. In cardinal games, the difference in individual payoffs for each player from individually changing one's strategy, other things equal, has to have the same value as the difference in values for the potential function. In ordinal games, only the signs of the differences have to be the same. The potential function is a useful tool to analyze equilibrium properties of games, since the incentives of all players are mapped into one function, and the set of pure Nash equilibria can be found by locating the local optima of the potential function. Convergence and finite-time convergence of an iterated game towards a Nash equilibrium can also be understood by studying the potential function. Potential games can be studied as repeated games with state so that every round played has a direct consequence on game's state in the next round. This approach has applications in distributed control such as distributed resource allocation, where players without a central correlation mechanism can cooperate to achieve a globally optimal resource distribution. (Wikipedia).
Why Game Theory is Not About Competition
This video was made possible by our Patreon community! ❤️ See new videos early, participate in exclusive Q&As, and more! ➡️ https://www.patreon.com/EconomicsExplained ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ Game Theory is supposed to show how businesses (and prisoners) can outdo each other to win out
From playlist Case Studies
What are the ingredients of a modern web game? In this lightning talk I’ll highlight some of the technologies that can be leveraged in building games for the Web and how game design can be leveraged to drive virality of your games. PUBLICATION PERMISSIONS: Original video was published w
From playlist Game Development
Best Production Practices for Casual Games | Introduction | #gamedev
Don’t forget to subscribe! This project series is about best production practices for casual games. Most game development projects fail. And, when they fail, hopes and dreams are squashed with them. But it doesn't have to be this way! We can learn a repeatable process for development su
From playlist Best Production Practices for Casual Games
Best Production Practices for Casual Games | Session 05 | #gamedev
Don’t forget to subscribe! This project series is about best production practices for casual games. Most game development projects fail. And, when they fail, hopes and dreams are squashed with them. But it doesn't have to be this way! We can learn a repeatable process for development su
From playlist Best Production Practices for Casual Games
Best Production Practices for Casual Games | Session 03 | #gamedev
Don’t forget to subscribe! This project series is about best production practices for casual games. Most game development projects fail. And, when they fail, hopes and dreams are squashed with them. But it doesn't have to be this way! We can learn a repeatable process for development su
From playlist Best Production Practices for Casual Games
Best Production Practices for Casual Games | Session 01 | #gamedev
Don’t forget to subscribe! This project series is about best production practices for casual games. Most game development projects fail. And, when they fail, hopes and dreams are squashed with them. But it doesn't have to be this way! We can learn a repeatable process for development su
From playlist Best Production Practices for Casual Games
Normal Form Games // Intro to Game Theory // Episode 2
Check out Brilliant ► https://brilliant.org/TreforBazett/ Join for free and the first 200 subscribers get 20% off an annual premium subscription. Thank you to Brilliant for sponsoring this video!! The 1st episode in the Game Theory playlist on the Prisoners Dilemma: https://www.youtube.
From playlist Game Theory
Best Production Practices for Casual Games | Session 04 | #gamedev
Don’t forget to subscribe! This project series is about best production practices for casual games. Most game development projects fail. And, when they fail, hopes and dreams are squashed with them. But it doesn't have to be this way! We can learn a repeatable process for development su
From playlist Best Production Practices for Casual Games
Routing in cost-shared networks: equilibria and dynamics by Debmalya Panigrahi (part 1)
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
Annalisa Cesaroni: "Periodic equilibria for a first order Mean Field Game"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Periodic equilibria for a first order Mean Field Game" Annalisa Cesaroni - Università di Padova Abstract: The talk will be devoted to the analysis of some first order variational Mean Field Game w
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
An optimization perspective on mean-field games - Wei Zhang, Ohio State University
This workshop is kindly sponsored by London Mathematical Society, EPSRC and is part of the Lloyd's Register Foundation programme on Data-centric engineering at The Alan Turing Institute. The workshop "Mean-field games, energy and environment" aims to bring together leading experts in the f
From playlist Mean-field games, energy and environment
From playlist All Videos
From playlist Guest Speakers
Episode 23: Energy And Eccentricity - The Mechanical Universe
Episode 23. Energy and Eccentricity: The precise orbit of a heavenly body — a planet, asteroid, or comet — is fixed by the laws of conservation of energy and angular momentum. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics
From playlist The Mechanical Universe
Making Small-Scale 2D Games with LÖVE 2D and Lua - CS50 Seminars 2021
Have you ever wanted to know how to create 2D games for profit or pleasure? In this one-hour session, you will learn (a) how to design a small-scope game that can be created within fourteen days, (b) how to get started using the LÖVE 2D framework to create your 2D game, and (c) how to avoi
From playlist CS50 Seminars 2021
Best Production Practices for Casual Games | Session 02 | #gamedev
Don’t forget to subscribe! This project series is about best production practices for casual games. Most game development projects fail. And, when they fail, hopes and dreams are squashed with them. But it doesn't have to be this way! We can learn a repeatable process for development su
From playlist Best Production Practices for Casual Games
How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Levon Nurbekyan: "Computational methods for mean-field games (Part 1/2)"
Watch part 2/2 here: https://youtu.be/QhGFzKGpRPA High Dimensional Hamilton-Jacobi PDEs Tutorials 2020 "Computational methods for mean-field games (Part 1/2)" Levon Nurbekyan - University of California, Los Angeles Abstract: I will give an overview of computational methods for mean-fiel
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
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"
The Future of Fandoms | Idea Channel | PBS Digital Studios
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea What is THE FUTURE of Fandoms? Excited, interested, and devoted to a piece of the world, fandoms have an ever growing presence and power in our culture. But how will th
From playlist Newest Episodes