The Mathematics of Games as the Constitution of Economic Behavior

This article provides a thorough analysis of game theory as a key tool for describing complex market interactions. The author draws on John von Neumann, who viewed mathematics not as a simplification but as a framework capable of capturing the complexities of human affairs. The text focuses on the transition from classical differential calculus to modern strategic models, such as the minimax rule and coalition formation mechanisms. The reader will learn how the concepts of imputation and dominance allow for the equitable distribution of resources, and how game models are applied to the analysis of monopolies and duopolies. The work sheds new light on the relationship between individual rationality and group efficiency, defining expected utility in the context of dynamic lotteries and equilibrium points. This is essential reading for those seeking to understand the mathematical constitution of the modern economy.