Lectures related to Farkas' Lemma: Applications in Game Theory

Convex Optimization: Convex Functions

Covers the concept of convex functions and their applications in optimization problems.

Introduction to Game Theory

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

Certificates: Existence and Proving

Explores certificates, proving solution existence, constraints, and linear programming duality.

SSL Certificates: Understanding and Python Implementation

Delves into SSL certificates, Python implementation, and root certificate chains.

TLS and Certificate Authorities

Explores the evolution of TLS protocols, the role of certificate authorities, vulnerabilities in outdated encryption, and real-world certificate-related attacks.

Metrics: Line and Convex Cone

Covers line metrics, convex cones, and linear metric combinations.

SSL Certificates: Understanding and Python Implementation

Explores SSL certificates, their analysis in browsers and Python, and root certificate chain retrieval.

Linear Algebra: Matrices and Vector Spaces

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Linear Combinations: Vectors and Matrices

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Public Key Infrastructure: Security and Accountability

Covers the relationship between Public Key Infrastructure and provable security, focusing on cryptography, accountability, and certificate management.

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Linear Algebra: Linear Dependence and Independence

Explores linear dependence and independence of vectors in geometric spaces.

TLS: Understanding Certificates and Python Implementation

Explores TLS certificates in web browsers and Python, covering verification, root and intermediate certificates, and Python code for analysis.

Linear Independence in Vector Spaces

Explores linear independence in vector spaces and the concept of bases.

Markov Games: Concepts and Applications in Reinforcement Learning

Covers Markov games, their dynamics, equilibria, and applications in reinforcement learning.

Static Games: Introduction to Game Theory Concepts

Covers the basics of static games and introduces key game theory concepts, including the Prisoner's Dilemma and Nash Equilibrium.

Linear Independence and Basis

Explains linear independence, basis, and matrix rank with examples and exercises.

Vector Spaces: Properties and Operations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Linear Algebra: Systems of Equations and Vector Operations

Explores systems of equations, vector operations, and geometric interpretations in linear algebra.

Linear Combinations: Basics

Introduces linear combinations of vectors in R^n and their properties.