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Game theory: Nash, minimax, LP
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Module 1
Game Theory Fundamentals and Nash Equilibrium
1
Normal-Form Games and Mixed Strategies
Define normal-form games (players, strategies, payoffs) and compute expected payoffs for mixed strategies.
2
Best Response and Dominated Strategies
Define best response and dominated strategies, and apply iterated elimination of strictly dominated strategies.
3
Nash Equilibrium: Definition and Pure-Strategy Identification
Define Nash Equilibrium in terms of best responses and identify pure-strategy NEs in a payoff matrix.
4
Mixed-Strategy Nash Equilibrium in 2x2 Games
Compute mixed-strategy Nash Equilibria in 2x2 games using the indifference principle.
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Zero-Sum Games and the Minimax Theorem