Game Theory Glossary

A game state where no player can improve their outcome by unilaterally changing their strategy. In poker, a Nash equilibrium strategy ensures you cannot be exploited by opponents regardless of their actions. Understanding equilibrium helps players develop unexploitable strategies and recognize when opponents deviate from optimal play.

The average outcome of a decision calculated by multiplying each possible result by its probability. Positive EV decisions lead to long-term profits, while negative EV decisions result in losses. Professional gambling decisions are based on identifying positive EV opportunities and avoiding negative EV situations through mathematical analysis.

The mathematical advantage the casino maintains over players expressed as a percentage. This built-in advantage ensures casinos profit over time. Understanding house edge for different games helps players make informed choices about which games offer the best odds relative to risk, though no game offers positive EV for players.

Measures of how much actual results fluctuate from expected values over time. High variance games produce larger swings between wins and losses. Understanding variance helps players manage bankroll appropriately and set realistic expectations for short-term performance while recognizing that mathematical truth emerges only over extended play periods.

The practice of managing your gambling fund using mathematical principles to survive variance. Proper bankroll management involves betting units appropriately relative to your total fund, ensuring you can withstand losing streaks without depleting resources. This is essential for responsible gambling and maintaining long-term sustainability.

The mathematically superior approach to making decisions in a game. Basic strategy in blackjack, for example, is the optimal decision for every possible hand combination. Following proven optimal strategies minimizes house edge and maximizes expected value across thousands of decisions, though short-term results may vary.

A mathematical function describing the likelihood of different outcomes. In roulette, the distribution shows equal probability for each number. In card games, distributions change as cards are revealed. Understanding probability distributions allows players to calculate odds precisely and make decisions based on mathematical principles rather than intuition.

The mathematical probability of losing your entire bankroll before achieving your profit goal. Calculated based on your edge, variance, and bet sizing. Professional gambling requires maintaining bet sizes that keep risk of ruin acceptably low while allowing reasonable profit potential. This balance is critical for sustainable gambling.