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Game Balancing
Designing a game so it is fair, stable, and engaging for players
Statistics
The study of what has already happened
Probability
The study of how likely something is to happen
Randomness in Games
Adds uncertainty and excitement to gameplay
Pseudo-randomness
Computer-generated randomness that isn’t truly random
Mechanics
The rules and systems of a game (e.g., rolling dice, taking turns)
Dynamics
The behavior that emerges from mechanics during gameplay
Expected Value
The average outcome of a random variable weighted by probabilities
Dice Notation
Format like xdn (e.g., 2d6 = roll two 6-sided dice)
Heuristic
A mental shortcut used to make decisions quickly
Variance
The spread of possible outcomes (risk vs consistency)
Player Agency
The ability for players to make meaningful decisions
All-skill Game
A game with no randomness; can become repetitive
All-random Game
A game with no skill; based entirely on chance
Psychology of Randomness
Players misinterpret randomness (e.g., expecting streaks to change)
Monte Carlo Fallacy
Belief that past outcomes affect future random events
Longshot Bias
Players favor low-probability high-reward outcomes
Imperfect Information
When players don’t know all aspects of the game state
Fog of War
A mechanic that hides information from players
Difficulty Class (DC)
A number representing how hard a task is in games like D&D
Advantage
Roll twice and take the higher result
Disadvantage
Roll twice and take the lower result
Game Balance Evaluation
Measured using fairness, stability, and engagement
Fairness
Equal chance of winning for equally skilled players
Stability
A game with multiple viable strategies and balanced feedback
Engagement (Flow)
A mental state of focused immersion and enjoyment
Flow State
A balance between challenge and skill that keeps players engaged
Pacing
The progression of difficulty over time in a game
Going First Problem
When the first player has a significant advantage
Fixing First Player Advantage
Rotate turns, add handicaps, or reduce first-turn power
Positive Feedback
Rewards success and amplifies advantages
Negative Feedback
Reduces advantage to keep the game balanced
Rubber Banding
A form of negative feedback that helps losing players catch up
Perfect Imbalance
When a system becomes overly dominant or overpowered
First Order Optimal Strategy
A simple strategy that is very effective early on
Utility
A measure of progress toward winning
Player Optimal Outcome
Maximizing one player’s utility
Pareto Optimal Outcome
No player can improve without hurting another
Equitable Outcome
All players have equal utility
Efficient Outcome
Maximizing total utility across all players
Nash Equilibrium
Best outcome assuming all players act in their own interest
Multiple Strategies
A balanced game allows different ways to win
Stability Feedback Curve
Negative early, slightly positive midgame, very positive endgame
Too Much Positive Feedback
Leads to runaway winners
Too Much Negative Feedback
Prevents meaningful progress
Ideal Feedback Curve
Balanced mix of positive and negative feedback
Adversity
Challenges players must overcome
Desire
Motivation to achieve goals
Empowerment
Player feeling of control and impact
Value
Meaningful rewards in the game
Drama
Storytelling and emotional engagement
Analysis Paralysis
Overthinking due to too many decisions
Optimization vs Fun
Best strategy should also be enjoyable
Camping Strategy
A strong but often boring or unfun strategy
Balancing for Real Players
Designing for both optimal play and enjoyable experiences