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September 26, 2023

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Description

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)

Course Curriculum

  • Lecture 01 – Introduction Unlimited
  • Lecture 02 – Prisoner’s Dilemma Unlimited
  • Lecture 03 – Basic Concepts of Nash Equilibrium Unlimited
  • Lecture 04 – Prisoner’s Dilemma in Practice and Pareto Optimality Unlimited
  • Lecture 05 – Dominant Strategy: Introduction and Examples Unlimited
  • Lecture 06 – Coordination Games: Introduction and Analysis Unlimited
  • Lecture 07 – Battle of Sexes and Multiple Nash Equilibria Unlimited
  • Lecture 08 – Tragedy of Commons: Introduction and Analysis Unlimited
  • Lecture 09 – Tragedy of Commons: Detailed Analysis Unlimited
  • Lecture 10 – Cournot Duopoly (Competition between Two Firms): Introduction and Analysis Unlimited
  • Lecture 11 – Cournot Duopoly (Competition between Two Firms): Detailed Analysis Unlimited
  • Lecture 12 – Mixed Strategies and Nash Equilibrium Unlimited
  • Lecture 13 – Mixed Strategies Example – Battle of Sexes Unlimited
  • Lecture 14 – Battle of Sexes: Best Response Analysis Unlimited
  • Lecture 15 – Mixed Strategy Example – Paying Taxes Game Unlimited
  • Lecture 16 – Mixed Strategy Example – Portfolio Management Game Unlimited
  • Lecture 17 – Rationality, Choice and Common Knowledge – Assumptions in Game Theory Unlimited
  • Lecture 18 – Iterated Elimination of Dominated Strategies Unlimited
  • Lecture 19 – Auctions – An Introduction and Types of Auctions Unlimited
  • Lecture 20 – Auctions – Game Theoretic Techniques to Model an Auction Unlimited
  • Lecture 21 – Braess Paradox – Modeling and Detailed Analysis Unlimited
  • Lecture 22 – Applications of Game Theory in Real Life Scenarios – Linear Markets Unlimited
  • Lecture 23 – Extensive Form Games – Introduction and Examples Unlimited
  • Lecture 24 – Game Tree and Information Sets – Representing Prisoner’s Dilemma Game Unlimited
  • Lecture 25 – Strategies in Extensive Form Games Unlimited
  • Lecture 26 – Extensive Form Games with Simultaneous Moves and their Normal Form Representation Unlimited
  • Lecture 27 – Sub Game Perfect Equilibrium – Need and Introduction Unlimited
  • Lecture 28 – Solving General Extensive Form Games – Modification in Backward Induction Unlimited
  • Lecture 29 – Application of Extensive Form Games Unlimited
  • Lecture 30 – Sub Game Perfect Equilibrium Example – Ultimatum Game Unlimited
  • Lecture 31 – Stackelberg Leadership Model Unlimited
  • Lecture 32 – Bayesian Games – Introduction and Examples Unlimited
  • Lecture 33 – Bayesian Games Application – Battle of Sexes Game Unlimited
  • Lecture 34 – Bayesian Games Application – Battle of Sexes Game (cont.) Unlimited
  • Lecture 35 – Bayesian Games Application – Yield vs Fight Game Unlimited
  • Lecture 36 – Bayesian Games Application – Yield vs Fight Game (cont.) Unlimited
  • Lecture 37 – Bayesian Version of Cournot Game Unlimited
  • Lecture 38 – Mixed Strategy Bayesian Games – An Introduction and Example Unlimited
  • Lecture 39 – Auctions Modelled as Bayesian Game Unlimited
  • Lecture 40 – Auctions as Bayesian Games – Sealed Bid First Price Unlimited
  • Lecture 41 – Auctions as Bayesian Games – Sealed Bid First Price (cont.) Unlimited
  • Lecture 42 – Auctions as Bayesian Games – Second Price Unlimited
  • Lecture 43 – Auctions as Bayesian Games – Second Price (cont.) Unlimited
  • Lecture 44 – All Pay Format of Auctions – Detailed Analysis Unlimited
  • Lecture 45 – The Problem of Hawk-Dove Games Unlimited
  • Lecture 46 – Evolutionary Game Theory – A Deviation from Regular Game Theory Unlimited
  • Lecture 47 – Evolutionary Stable Strategy (ESS) – Beetles World Example and Analysis Unlimited
  • Lecture 48 – Evolutionary Stable Strategy and Nash Equilibrium Unlimited
  • Lecture 49 – Repeated Games – Introduction and Examples Unlimited
  • Lecture 50 – Finitely Repeated Games Having Multiple Equilibrium Unlimited
  • Lecture 51 – Chain-Store Paradox – Modeling and Detailed Analysis Unlimited
  • Lecture 52 – Infinitely Repeated Games – Need and Real World Applications Unlimited
  • Lecture 53 – Non-cooperative Bargaining – Rubinstein’s Bargaining Model Unlimited
  • Lecture 54 – Axiomatic (Cooperative) Bargaining – Need and Principles/ Axioms Unlimited
  • Lecture 55 – Extensive Form Game with Incomplete Information Unlimited
  • Lecture 56 – Introduction to Perfect Bayesian Equilibrium – Modeling and Analysis Unlimited
  • Lecture 57 – Obtaining Perfect Bayesian Equilibrium Unlimited
  • Lecture 58 – Perfect Bayesian Equilibrium Application – Gift Game Unlimited

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