What does a payoff show in a game theory model?
The normal-form table illustrates the concept of a saddlepoint, or entry, in a payoff matrix at which the expected gain of each participant (row or column) has the highest guaranteed payoff.
In game theory, a payoff represents the expected outcome or result for a player associated with a specific combination of strategies chosen by all participants in a game.1
These values quantify the consequences of interdependent decisions, allowing players to evaluate the desirability of different outcomes. In models such as the prisoner’s dilemma, payoffs are often expressed in units relevant to the scenario—such as years of jail time—where players aim to adopt strategies that result in the most favorable payoff for themselves.1
Payoffs are typically organized within a payoff matrix, which maps each player's available strategies against those of their opponents to help identify optimal choices or a Nash equilibrium. Ultimately, the payoff serves as the mathematical metric used to analyze whether a player can improve their position by unilaterally changing their strategy.1