Why your choices are actually reactions to others
In short: Human behavior is often viewed through the lens of personal intention or belief. However, game theory suggests a different driver: interdependence. When your best move depends entirely on what someone else does, your decisions become part of a complex mathematical web where incentives outweigh individual desires.
Game theory is a branch of applied mathematics designed to analyze situations where the decisions of one party are interdependent with those of others. Because players must consider the possible strategies of their opponents when formulating their own, behavior becomes a calculation of mutual influence rather than isolated choice. This framework allows for the prediction of complex social behaviors, including politics and global trends, by focusing on how incentives shape actions. Prof. Jiang Xueqin suggests that traditional explanations like religion fail to fully account for human actions. This mathematical approach prioritizes how incentives function over personal intentions. It provides a lens for interpreting international relations and global trends.
A core concept in this field is the 'saddlepoint' within a payoff matrix—a specific outcome that rational players would choose because it represents the highest guaranteed payoff regardless of what the opponent does. In games of perfect information, such as chess or checkers, these outcomes are strictly determined. For instance, German mathematician Ernst Zermelo proved in 1912 that since all information is available, optimal strategies can be deduced to make the outcome preordained. Within a payoff matrix, a saddlepoint is identified as a column maximum which simultaneously serves as a row minimum. This specific shape resembles a physical saddle. These games are often categorized as two-person constant-sum interactions.
However, real-world complexity often introduces 'imperfect information,' where a saddlepoint may not exist. While games like chess are of minor interest to theorists because their outcomes are theoretically solvable by supercomputers—though the 1043 distinct 40-move possibilities make this currently impossible—the principles remain vital for understanding cooperation and competition in broader society. By analyzing these payoff matrices, we can see why certain groups cooperate while others compete based on the structural incentives of the 'game' they are playing. One example involves two political parties deciding how to handle a controversial election issue. The normal-form table helps illustrate these calculations. This method reveals why cooperation can sometimes beat competition in social structures.
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Sources
- Summary by Intellect · source: Game Theory Explains Everything | Prof. Jiang
- Also: Game theory | Definition, Facts, & Examples | Britannica
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