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Strategy: An Introduction to Game Theory

Strategy: An Introduction to Game Theory. Instructors: Prof. Aditya K. Jagannatham and Prof. Vimal Kumar, Department of Humanities and Social Sciences, IIT Kanpur. Games or Strategic Interactions can be found in all walks of life. Examples of such scenarios are two firms competing for market share, politicians contesting elections, different bidders participating in an auction for wireless spectrum, coal blocks etc. Game theory provides a convenient framework to model and interpret the behavior of participants in such strategic interactions. Hence it can be applied to solve a wide variety of problems involving diverse areas such as Markets, Auctions, Online Retail, Cold War, Paying Taxes, Bargaining, Elections, Portfolio Management etc. The course covers topics on introduction and example of markets/ politics/ auctions, tragedy of commons and global warming, preferences, rationality and common knowledge, art of war, games with incomplete information, auctions with incomplete information, asymmetric information and repeated games. (from nptel.ac.in)

Lecture 47 - Evolutionary Stable Strategy (ESS) - Beetles World Example and Analysis

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Lecture 01 - Introduction

Lecture 02 - Prisoner's Dilemma

Lecture 03 - Basic Concepts of Nash Equilibrium

Lecture 04 - Prisoner's Dilemma in Practice and Pareto Optimality

Lecture 05 - Dominant Strategy: Introduction and Examples

Lecture 06 - Coordination Games: Introduction and Analysis

Lecture 07 - Battle of Sexes and Multiple Nash Equilibria

Lecture 08 - Tragedy of Commons: Introduction and Analysis

Lecture 09 - Tragedy of Commons: Detailed Analysis

Lecture 10 - Cournot Duopoly (Competition between Two Firms): Introduction and Analysis

Lecture 11 - Cournot Duopoly (Competition between Two Firms): Detailed Analysis

Lecture 12 - Mixed Strategies and Nash Equilibrium

Lecture 13 - Mixed Strategies Example - Battle of Sexes

Lecture 14 - Battle of Sexes: Best Response Analysis

Lecture 15 - Mixed Strategy Example - Paying Taxes Game

Lecture 16 - Mixed Strategy Example - Portfolio Management Game

Lecture 17 - Rationality, Choice and Common Knowledge - Assumptions in Game Theory

Lecture 18 - Iterated Elimination of Dominated Strategies

Lecture 19 - Auctions - An Introduction and Types of Auctions

Lecture 20 - Auctions - Game Theoretic Techniques to Model an Auction

Lecture 21 - Braess Paradox - Modeling and Detailed Analysis

Lecture 22 - Applications of Game Theory in Real Life Scenarios - Linear Markets

Lecture 23 - Extensive Form Games - Introduction and Examples

Lecture 24 - Game Tree and Information Sets - Representing Prisoner's Dilemma Game

Lecture 25 - Strategies in Extensive Form Games

Lecture 26 - Extensive Form Games with Simultaneous Moves and their Normal Form Representation

Lecture 27 - Sub Game Perfect Equilibrium - Need and Introduction

Lecture 28 - Solving General Extensive Form Games - Modification in Backward Induction

Lecture 29 - Application of Extensive Form Games

Lecture 30 - Sub Game Perfect Equilibrium Example - Ultimatum Game

Lecture 31 - Stackelberg Leadership Model

Lecture 32 - Bayesian Games - Introduction and Examples

Lecture 33 - Bayesian Games Application - Battle of Sexes Game

Lecture 34 - Bayesian Games Application - Battle of Sexes Game (cont.)

Lecture 35 - Bayesian Games Application - Yield vs Fight Game

Lecture 36 - Bayesian Games Application - Yield vs Fight Game (cont.)

Lecture 37 - Bayesian Version of Cournot Game

Lecture 38 - Mixed Strategy Bayesian Games - An Introduction and Example

Lecture 39 - Auctions Modelled as Bayesian Game

Lecture 40 - Auctions as Bayesian Games - Sealed Bid First Price

Lecture 41 - Auctions as Bayesian Games - Sealed Bid First Price (cont.)

Lecture 42 - Auctions as Bayesian Games - Second Price

Lecture 43 - Auctions as Bayesian Games - Second Price (cont.)

Lecture 44 - All Pay Format of Auctions - Detailed Analysis

Lecture 45 - The Problem of Hawk-Dove Games

Lecture 46 - Evolutionary Game Theory - A Deviation from Regular Game Theory

Lecture 47 - Evolutionary Stable Strategy (ESS) - Beetles World Example and Analysis

Lecture 48 - Evolutionary Stable Strategy and Nash Equilibrium

Lecture 49 - Repeated Games - Introduction and Examples

Lecture 50 - Finitely Repeated Games Having Multiple Equilibrium

Lecture 51 - Chain-Store Paradox - Modeling and Detailed Analysis

Lecture 52 - Infinitely Repeated Games - Need and Real World Applications

Lecture 53 - Non-cooperative Bargaining - Different Stage Bargaining and Rubinstein's Bargaining Model

Lecture 54 - Axiomatic (Cooperative) Bargaining - Need and Principles/ Axioms

Lecture 55 - Extensive Form Game with Incomplete Information

Lecture 56 - Introduction to Perfect Bayesian Equilibrium - Modeling and Analysis

Lecture 57 - Obtaining Perfect Bayesian Equilibrium

Lecture 58 - Perfect Bayesian Equilibrium Application - Gift Game