Game Theory

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Game Theory

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Beschreibung

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About this course: 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), Ba…

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When you enroll for courses through Coursera you get to choose for a paid plan or for a free plan

  • Free plan: No certicification and/or audit only. You will have access to all course materials except graded items.
  • Paid plan: Commit to earning a Certificate—it's a trusted, shareable way to showcase your new skills.

About this course: 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

Who is this class for: 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.

Created by:  Stanford University, The University of British Columbia
  • Taught by:  Matthew O. Jackson, Professor

    Economics
  • Taught by:  Kevin Leyton-Brown, Professor

    Computer Science
  • Taught by:  Yoav Shoham, Professor

    Computer Science
Level Beginner Language English How To Pass Pass all graded assignments to complete the course. User Ratings 4.6 stars Average User Rating 4.6See what learners said Coursework

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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.

Syllabus


WEEK 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 readings, 1 practice quiz expand


  1. Video: Introductory Video
  2. Reading: Syllabus
  3. Video: 1-1 Game Theory Intro - TCP Backoff
  4. Discussion Prompt: Play the TCP game if you like
  5. Video: 1-2 Self-Interested Agents and Utility Theory
  6. Video: 1-3 Defining Games
  7. Video: 1-4 Examples of Games
  8. Discussion Prompt: Play some games after Lecture 1.4 if you like
  9. Video: 1-5 Nash Equilibrium Intro
  10. Video: 1-6 Strategic Reasoning
  11. Discussion Prompt: Play Keynes Beauty Contest Game if you like
  12. Video: 1-7 Best Response and Nash Equilibrium
  13. Video: 1-8 Nash Equilibrium of Example Games
  14. Video: 1-9 Dominant Strategies
  15. Video: 1-10 Pareto Optimality
  16. Practice Quiz: In-Video Quizzes Week 1
  17. Reading: A Brief Introduction to the Basics of Game Theory

Graded: Problem Set 1

WEEK 2


Week 2: Mixed-Strategy Nash Equilibrium
pure and mixed strategy Nash equilibria


7 videos, 1 practice quiz expand


  1. Video: 2-1 Mixed Strategies and Nash Equilibrium (I)
  2. Video: 2-2 Mixed Strategies and Nash Equilibrium (II)
  3. Video: 2-3 Computing Mixed Nash Equilibrium
  4. Video: 2-4 Hardness Beyond 2x2 Games - Basic
  5. Video: 2-4 Hardness Beyond 2x2 Games - Advanced
  6. Video: 2-5 Example: Mixed Strategy Nash
  7. Video: 2-6 Data: Professional Sports and Mixed Strategies
  8. Practice Quiz: In-Video Quizzes Week 2

Graded: Problem Set 2

WEEK 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 practice quiz expand


  1. Video: 3-1 Beyond the Nash Equilibrium
  2. Video: 3-2 Strictly Dominated Strategies & Iterative Removal
  3. Video: 3-3 Dominated Strategies & Iterative Removal: An Application
  4. Video: 3-4 Maxmin Strategies
  5. Video: 3-4 Maxmin Strategies - Advanced
  6. Video: 3-5 Correlated Equilibrium: Intuition
  7. Practice Quiz: In-Video Quizzes Week 3

Graded: Problem Set 3

WEEK 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 practice quiz expand


  1. Video: 4-1 Perfect Information Extensive Form: Taste
  2. Video: 4-2 Formalizing Perfect Information Extensive Form Games
  3. Discussion Prompt: Play the Centipede Game if you like
  4. Video: 4-3 Perfect Information Extensive Form: Strategies, BR, NE
  5. Video: 4-4 Subgame Perfection
  6. Video: 4-5 Backward Induction
  7. Video: 4-6 Subgame Perfect Application: Ultimatum Bargaining
  8. Video: 4-7 Imperfect Information Extensive Form: Poker
  9. Video: 4-8 Imperfect Information Extensive Form: Definition, Strategies
  10. Video: 4-9 Mixed and Behavioral Strategies
  11. Discussion Prompt: Play the Rainbow Warship game if you like
  12. Video: 4-10 Incomplete Information in the Extensive Form: Beyond Subgame Perfection
  13. Practice Quiz: In-Video Quizzes Week 4

Graded: Problem Set 4

WEEK 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 practice quiz expand


  1. Video: 5-1 Repeated Games
  2. Discussion Prompt: Play some repeated games if you like
  3. Video: 5-2 Infinitely Repeated Games: Utility
  4. Video: 5-3 Stochastic Games
  5. Video: 5-4 Learning in Repeated Games
  6. Discussion Prompt: Play the repeated battle of the sexes game
  7. Video: 5-5 Equilibria of Infinitely Repeated Games
  8. Video: 5-6 Discounted Repeated Games
  9. Video: 5-7 A Folk Theorem for Discounted Repeated Games
  10. Practice Quiz: In-Video Quizzes Week 5

Graded: Problem Set 5

WEEK 6


Week 6: Bayesian Games
General definitions, ex ante/interim Bayesian Nash equilibrium.


6 videos, 1 practice quiz expand


  1. Video: 6-1 Bayesian Games: Taste
  2. Video: 6-2 Bayesian Games: First Definition
  3. Video: 6-2 Bayesian Games: First Defintion (yoav)
  4. Video: 6-3 Bayesian Games: Second Definition
  5. Video: 6-4 Analyzing Bayesian Games
  6. Video: 6-5 Analyzing Bayesian Games: Another Example
  7. Practice Quiz: In-Video Quizzes Week 6

Graded: Problem Set 6

WEEK 7


Week 7: Coalitional Games
Transferable utility cooperative games, Shapley value, Core, applications.


5 videos, 1 practice quiz expand


  1. Video: 7-1 Coalitional Game Theory: Taste
  2. Video: 7-2 Coalitional Game Theory: Definitions
  3. Video: 7-3 The Shapley Value
  4. Video: 7-4 The Core
  5. Video: 7-5 Comparing the Core and Shapley value in an Example
  6. Practice Quiz: In-Video Quizzes Week 7

Graded: Problem Set 7

WEEK 8


Week 8: Final Exam
The description goes here




    Graded: Final Exam

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