Acerca de este curso: Popularized by movies such as "A Beautiful Mind," game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. Beyond what we call `games' in common language, such as chess, poker, soccer, etc., it includes the modeling of conflict among nations, political campaigns, competition among firms, and trading behavior in markets such as the NYSE. How could you begin to model keyword auctions, and peer to peer file-sharing networks, without accounting for the incentives of the people using them? The course will provide the basics: representing games and strategies, the extensive form (which computer scientists call game trees), Bayesian games (modeling things like auctions), repeated and stochastic games, and more. We'll include a variety of examples including classic games and a few applications. You can find a full syllabus and description of the course here: http://web.stanford.edu/~jacksonm/GTOC-Syllabus.html There is also an advanced follow-up course to this one, for people already familiar with game theory: https://www.coursera.org/learn/gametheory2/ You can find an introductory video here: http://web.stanford.edu/~jacksonm/Intro_Networks.mp4
Para quién es esta clase: This course is aimed at students, researchers, and practitioners who wish to understand more about strategic interactions. You must be comfortable with mathematical thinking and rigorous arguments. Relatively little specific math is required; but you should be familiar with basic probability theory (for example, you should know what a conditional probability is), and some very light calculus would be helpful.
Creada por: Stanford University, The University of British Columbia
Enseñado por: Matthew O. Jackson, Professor
Economics
Enseñado por: Kevin Leyton-Brown, Professor
Computer Science
Enseñado por: Yoav Shoham, Professor
Computer Science
| Nivel | Principiante |
| Idioma | English |
| Cómo aprobar | Aprueba todas las tareas calificadas para completar el curso. |
| Calificaciones del usuario |
Programa
SEMANA 1
Week 1: Introduction and Overview
Introduction, overview, uses of game theory, some applications and examples, and formal definitions of: the normal form, payoffs, strategies, pure strategy Nash equilibrium, dominant strategies
11 videos, 2 lecturas, 1 cuestionario de práctica
- Reading: Syllabus
- Vídeo: 1-1 Game Theory Intro - TCP Backoff
- Discussion Prompt: Play the TCP game if you like
- Vídeo: 1-2 Self-Interested Agents and Utility Theory
- Vídeo: 1-3 Defining Games
- Vídeo: 1-4 Examples of Games
- Discussion Prompt: Play some games after Lecture 1.4 if you like
- Vídeo: 1-5 Nash Equilibrium Intro
- Vídeo: 1-6 Strategic Reasoning
- Discussion Prompt: Play Keynes Beauty Contest Game if you like
- Vídeo: 1-7 Best Response and Nash Equilibrium
- Vídeo: 1-8 Nash Equilibrium of Example Games
- Vídeo: 1-9 Dominant Strategies
- Vídeo: 1-10 Pareto Optimality
- Practice Quiz: In-Video Quizzes Week 1
- Reading: A Brief Introduction to the Basics of Game Theory
Calificado: Problem Set 1
SEMANA 2
Week 2: Mixed-Strategy Nash Equilibrium
pure and mixed strategy Nash equilibria
7 videos, 1 cuestionario de práctica
- Vídeo: 2-2 Mixed Strategies and Nash Equilibrium (II)
- Vídeo: 2-3 Computing Mixed Nash Equilibrium
- Vídeo: 2-4 Hardness Beyond 2x2 Games - Basic
- Vídeo: 2-4 Hardness Beyond 2x2 Games - Advanced
- Vídeo: 2-5 Example: Mixed Strategy Nash
- Vídeo: 2-6 Data: Professional Sports and Mixed Strategies
- Practice Quiz: In-Video Quizzes Week 2
Calificado: Problem Set 2
SEMANA 3
Week 3: Alternate Solution Concepts
Iterative removal of strictly dominated strategies, minimax strategies and the minimax theorem for zero-sum game, correlated equilibria
6 videos, 1 cuestionario de práctica
- Vídeo: 3-2 Strictly Dominated Strategies & Iterative Removal
- Vídeo: 3-3 Dominated Strategies & Iterative Removal: An Application
- Vídeo: 3-4 Maxmin Strategies
- Vídeo: 3-4 Maxmin Strategies - Advanced
- Vídeo: 3-5 Correlated Equilibrium: Intuition
- Practice Quiz: In-Video Quizzes Week 3
Calificado: Problem Set 3
SEMANA 4
Week 4: Extensive-Form Games
Perfect information games: trees, players assigned to nodes, payoffs, backward Induction, subgame perfect equilibrium, introduction to imperfect-information games, mixed versus behavioral strategies.
10 videos, 1 cuestionario de práctica
- Vídeo: 4-2 Formalizing Perfect Information Extensive Form Games
- Discussion Prompt: Play the Centipede Game if you like
- Vídeo: 4-3 Perfect Information Extensive Form: Strategies, BR, NE
- Vídeo: 4-4 Subgame Perfection
- Vídeo: 4-5 Backward Induction
- Vídeo: 4-6 Subgame Perfect Application: Ultimatum Bargaining
- Vídeo: 4-7 Imperfect Information Extensive Form: Poker
- Vídeo: 4-8 Imperfect Information Extensive Form: Definition, Strategies
- Vídeo: 4-9 Mixed and Behavioral Strategies
- Discussion Prompt: Play the Rainbow Warship game if you like
- Vídeo: 4-10 Incomplete Information in the Extensive Form: Beyond Subgame Perfection
- Practice Quiz: In-Video Quizzes Week 4
Calificado: Problem Set 4
SEMANA 5
Week 5: Repeated Games
Repeated prisoners dilemma, finite and infinite repeated games, limited-average versus future-discounted reward, folk theorems, stochastic games and learning.
7 videos, 1 cuestionario de práctica
- Discussion Prompt: Play some repeated games if you like
- Vídeo: 5-2 Infinitely Repeated Games: Utility
- Vídeo: 5-3 Stochastic Games
- Vídeo: 5-4 Learning in Repeated Games
- Discussion Prompt: Play the repeated battle of the sexes game
- Vídeo: 5-5 Equilibria of Infinitely Repeated Games
- Vídeo: 5-6 Discounted Repeated Games
- Vídeo: 5-7 A Folk Theorem for Discounted Repeated Games
- Practice Quiz: In-Video Quizzes Week 5
Calificado: Problem Set 5
SEMANA 6
Week 6: Bayesian Games
General definitions, ex ante/interim Bayesian Nash equilibrium.
6 videos, 1 cuestionario de práctica
- Vídeo: 6-2 Bayesian Games: First Definition
- Vídeo: 6-2 Bayesian Games: First Defintion (yoav)
- Vídeo: 6-3 Bayesian Games: Second Definition
- Vídeo: 6-4 Analyzing Bayesian Games
- Vídeo: 6-5 Analyzing Bayesian Games: Another Example
- Practice Quiz: In-Video Quizzes Week 6
Calificado: Problem Set 6
SEMANA 7
Week 7: Coalitional Games
Transferable utility cooperative games, Shapley value, Core, applications.
5 videos, 1 cuestionario de práctica
- Vídeo: 7-2 Coalitional Game Theory: Definitions
- Vídeo: 7-3 The Shapley Value
- Vídeo: 7-4 The Core
- Vídeo: 7-5 Comparing the Core and Shapley value in an Example
- Practice Quiz: In-Video Quizzes Week 7
Calificado: Problem Set 7
SEMANA 8
Week 8: Final Exam
The description goes here
Calificado: Final Exam
Preguntas Frecuentes
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Creadores
Stanford University
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is an American private research university located in Stanford, California on an 8,180-acre (3,310 ha) campus near Palo Alto, California, United States.
The University of British Columbia
The University of British Columbia is a global centre for research and teaching.
Calificaciones y revisiones
Wonderfully implemented with intuitive examples
Excellent and neat course. Enjoyed throughout the course!
Brilliant course!
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RM
Excelente curso!