Game Theory 101 (#1): Introduction

Game Theory 101 (#1): Introduction

Introduction to Game Theory

In this section, William Spaniel introduces the concept of game theory and its relevance in studying strategically interdependent behavior.

What is Game Theory?

  • Game theory is the study of strategically interdependent behavior.
  • It involves situations where one person's actions affect the outcomes of others and vice versa.
  • Game theory extends beyond traditional games of winning and losing, encompassing situations where cooperation and competition coexist.

Why Study Game Theory?

  • Developing logically sound theories for interactive behavior can be complex.
  • Game theory provides accounting tools to ensure that conclusions follow from assumptions.
  • Understanding game theory allows for drawing parallels between different situations, enhancing decision-making abilities.

The Importance of Studying Game Theory

In this section, William Spaniel explains why it is valuable to invest time in learning game theory.

Logical Soundness

  • The logic of strategically interdependent situations can become extremely complicated.
  • Studying game theory provides a framework with accounting standards to ensure logical coherence in theories.

Practical Applications

  • Understanding game theory enables connecting seemingly unrelated situations.
  • This ability enhances problem-solving skills and thinking on one's feet in various real-life scenarios.

Overview of the Lecture Series

In this section, William Spaniel outlines the three chapters covered in the lecture series on game theory.

Chapter 1: Simultaneous Move Games

  • Simultaneous move games involve players independently deciding their strategies without observing others' choices.
  • Examples include penalty kicks in soccer and decision-making at stoplights.
  • Concepts covered include strict dominance, Nash equilibrium, best responses, mixed strategy Nash equilibrium, and weak dominance.

Chapter 2: Extensive Form Games

  • Extensive form games involve players taking turns making moves.
  • Examples include war and invasion plans, and police searches.
  • Concepts covered include backward induction, perfect equilibrium, credible threats, tying hands, commitment problems, and forward induction.

Chapter 3: Advanced Strategic Form Games

  • This chapter generalizes the concepts covered in Chapter 1.
  • It allows for exploring questions like the impact of accuracy on penalty kick direction in soccer.
  • Concepts covered include comparative statics, knife-edge equilibria, symmetric zero-sum games.

Prerequisites for the Course

In this section, William Spaniel discusses the prerequisites for studying game theory.

  • While game theory can be logically demanding, it rarely requires more than high school algebra.
  • Some familiarity with calculus is helpful but not essential.

Getting an A in the Course

The video congratulates the viewer on already achieving an A in the course and mentions that grades will not be discussed further. It also introduces the idea of a recommended textbook.

Recommended Textbook: "Game Theory 101: The Complete Textbook"

  • The speaker recommends the textbook "Game Theory 101: The Complete Textbook" which they wrote to parallel the video series.
  • The book contains more examples in every lesson compared to the video lectures.
  • It is currently priced at $3.99 on Amazon, making it a cost-effective option.
  • Unlike other textbooks, this book focuses on teaching game theory rather than assuming prior knowledge.
  • It provides thorough explanations, step-by-step logic, and mathematical calculations.

Practical Reasons for Choosing the Recommended Textbook

  • Most other textbooks act as reference manuals rather than teaching materials.
  • This textbook is designed for learning game theory from scratch.
  • It offers a user-friendly approach with detailed explanations and calculations.
  • Chapters can be purchased individually or as a complete set.

Timestamps are provided for each section to help locate specific parts of the video.

Video description

Game Theory 101: The Complete Textbook on Amazon: https://www.amazon.com/Game-Theory-101-Complete-Textbook/dp/1492728152/ http://gametheory101.com/courses/game-theory-101/ What is game theory? Why should we study it? Game Theory 101 is a free introductory course to the basics of game theory. Over the course of the next few dozen videos, we will learn about strict dominance, iterated elimination of strictly dominated strategies, pure strategy Nash equilibrium, mixed strategy Nash equilibrium, the mixed strategy algorithm, weak dominance, backward induction, subgame perfect equilibrium, comparative statics, and more. This video outlines the course. The lectures will follow the textbook linked above. I strongly recommend purchasing it---the digital version is only $4.99 and it spells out everything we will be doing in much greater depth and with more examples. However, you should be fine without it. Let's have some fun!