Separating Hyperplanes: Theory and Applications

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Explores zero-sum games and the minimax theorem in Game Theory, emphasizing optimal strategies.

Explores convex polyhedra, linear programs, and their optimization importance.

Covers the basics of linear programming, defining corners, extreme points, and feasible solutions within polyhedrons.

Covers the Poisson Paradigm, including the First/Second Moment Method and Martingales, discussing dependency graphs and Chernoff bounds.

Covers game theory fundamentals, Nash equilibrium, and strategic interactions in multi-agent systems.

Explores the FKG inequality in percolation theory and the reverse FKG theorem.

Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.

Discusses Stackelberg games and backward induction, illustrating game theory concepts through examples and applications in real-world scenarios.

Explores the construction of Ramanujan graphs using polynomials and addresses challenges with the probabilistic method.

Explores multistage games, focusing on extensive form and feedback strategies, including Nash equilibria and backward induction methods.