Game Theory Fundamentals: Multi-Agent Strategic Duels

Navigating strategic decisions when multiple competing parties are involved is one of the central challenges of modern game theory and quantitative analysis. This text-based course provides a structured introduction to modeling and solving multi-agent strategic encounters, using classical and modern multi-person duel problems as foundational models. You will build a solid intuition for strategic thinking by examining how individual incentives, turn orders, and probabilistic outcomes shape the choices of rational actors. What you'll learn: - Understand core game theory terminology, including payoffs, dominant strategies, and Nash equilibria - Model sequential and simultaneous multi-player duels using probability trees and payoff matrices - Calculate survival probabilities and optimal shooting thresholds across diverse agent skill levels - Analyze stationary strategies and equilibrium points in dynamic, multi-stage conflicts - Apply modern decision-making models to competitive scenarios in economics, business strategy, and algorithmic decision systems - Practice strategic reasoning through step-by-step written analytical problems The course begins with foundational definitions of utility, rationality, and probability, gradually advancing to complex multi-agent models and practical strategic evaluations. This course is designed for beginners interested in quantitative decision analysis, logic puzzles, or game theory, with no prior advanced mathematical background required. Start reading today to sharpen your analytical reasoning and master the logic of multi-agent strategy.