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Game Theory: History & Applications
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Module 1
Foundations: Strategic Reasoning and Equilibrium
1
Game Theory: A Historical Overview
Describe the historical development of game theory, from von Neumann & Morgenstern to Nash and key modern contributors.
2
Elements of Strategic Games
Define the core components of a strategic game: players, strategy sets, and payoff functions.
3
Normal Form Representation of Multiplayer Games
Represent a multiplayer game in normal (strategic) form using a payoff matrix.
4
Simplifying Games with Dominated Strategies
Identify and eliminate strictly dominated strategies to simplify a game.
5
Understanding Pure Strategy Nash Equilibrium
Define Nash Equilibrium in pure strategies and verify whether a given strategy profile constitutes a Nash Equilibrium.
6
The Prisoner's Dilemma and Stable Suboptimal Outcomes
Analyze the Prisoner's Dilemma to explain why a suboptimal outcome can be a stable equilibrium.
7
Understanding Coordination Games and Multiple Equilibria
Analyze coordination games (e.g., Battle of the Sexes, Stag Hunt) and identify their multiple equilibria.
8
Pareto Efficiency in Strategic Games
Define Pareto efficiency and apply it to evaluate and compare outcomes in strategic games.
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Extending the Model: Uncertainty and Sequentiality