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Game Theory and Economics

Game Theory and Economics. Instructor: Dr. Debarshi Das, Department of Humanities and Social Sciences, IIT Guwahati. The aim of the course is to provide an introduction to the study of game theory which has found wide applications in economics, political science, sociology, engineering apart from disciplines like mathematics and biology. The course would introduce to the fundamental tools of game theory, a few equilibrium concepts, apart from numerous exercises and applications. Knowledge of game theory would help students to understand and analyse real life situations such as market behaviour or voting in elections, apart from equipping them with analytical concepts which might be useful should they decide to pursue social sciences, engineering, sciences or managerial higher studies. (from nptel.ac.in)

Lecture 27 - Mixed Strategy Nash Equilibrium: Introduction


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Introduction to Game Theory
Lecture 01 - Definition of Game Theory and Rational Choice
Lecture 02 - Interacting Decision Makers
Strategic Games and Nash Equilibrium
Lecture 03 - Strategic Games: Examples
Lecture 04 - Matching Pennies, Stag Hunt and Nash Equilibrium
Lecture 05 - Examples of Nash Equilibrium
Lecture 06 - Altruism and Prisoner's Dilemma
Lecture 07 - Variants of Stag Hunt Game, Hawk Dove and Coordination Game
Lecture 08 - Public Good Provision, Strict Nash Equilibrium
Lecture 09 - Best Response Functions
Lecture 10 - Strictly and Weakly Dominated Actions
Lecture 11 - Application of Weak Domination: Voting
Lecture 12 - Symmetric Game and Symmetric Equilibrium
Illustrations of Nash Equilibrium
Lecture 13 - Cournot Model of Oligopoly
Lecture 14 - Different Aspects of Cournot Model
Lecture 15 - Further Aspects of Cournot Model
Lecture 16 - Cournot and Bertrand Models
Lecture 17 - Different Aspects of Bertrand Model
Lecture 18 - Electoral Competition
Lecture 19 - Different Aspects of Hotelling Model
Lecture 20 - Hotelling Model: Concluding Remarks
Lecture 21 - War of Attrition
Lecture 22 - Auction: Second Price Sealed Bid
Lecture 23 - Further Aspects of Second Price Auction
Lecture 24 - First Price Auction
Lecture 25 - All Pay Auction, Multi Unit Auction
Lecture 26 - Accident Laws
Mixed Strategy Nash Equilibrium
Lecture 27 - Mixed Strategy Nash Equilibrium: Introduction
Lecture 28 - Mixed Strategy, Mixed Strategy Equilibrium
Lecture 29 - Mixed Strategy Equilibrium: Concepts and Examples
Lecture 30 - Characterisation of Mixed Strategy Equilibrium
Lecture 31 - Dominated Actions and Iterated Elimination
Lecture 32 - Rationalizability and Beliefs
Extensive Games and Nash Equilibrium
Lecture 33 - Extensive Games: Introduction
Lecture 34 - Strategy and Equilibrium
Lecture 35 - Nash Equilibrium and its Problems
Lecture 36 - Subgame Perfect Nash Equilibrium
Lecture 37 - Backward Induction
Lecture 38 - Backward Induction: Exercises
Illustration of Extensive Games and Nash Equilibrium
Lecture 39 - Ultimatum Game
Lecture 40 - Stackelberg Duopoly Model