The mathematics of Mafia

Why Mafia Is a Mathematical Game

19.1 Mafia as Information Theory

19.2 Why Logic Beats Emotion

19.3 The 90% Logic / 10% Intuition Rule

19.4 Probability vs Instinct

19.5 Structural Thinking for Mafia

Probability Essentials

20.1 Basic Probabilities (Roles / Checks / Kills)

20.2 Conditional Probability (Bayesian Thinking)

20.3 What Kills Mean Mathematically

20.4 Sheriff Probability Trees

20.5 EV (Expected Value) of Decisions

Vote Mathematics

21.1 Majority Theory

21.2 Vote Power

21.3 Parity Mechanics

21.4 Breaking and Protecting Parity

21.5 How One Vote Loses the Game

21.6 Why Emotional Voting Is Deadly

Critical Player Counts (The Real Game Deciders)

22.1 Why 8 Players Left Is Already Critical

22.2 Why 7 Is “Hard Critical”

22.3 Why 6 Is Parity → Instant Loss

22.4 5, 4, 3 Player Endgames

22.5 Full Table of Transitions (10 → 3)

22.6 Real Game Examples

Decision-Making Under Uncertainty

23.1 Risk vs Reward

23.2 Decision Trees

23.3 Information Paths

23.4 Psychological vs Mathematical Choices

23.5 Mixing Intuition Into a Logic-Driven Game