Game theory is used by all behavioral sciences, but its development has long centered around tools for relatively simple games and toy systems, such as the economic interpretation of equilibrium outcomes. Our contribution, compositional game theory, permits another approach of equally general appeal: the high-level design of large games for expressing complex architectures and representing real-world institutions faithfully. Compositional game theory, grounded in the mathematics underlying programming languages, and introduced here as a general computational framework, increases the parsimony of game representations with abstraction and modularity, accelerates search and design, and helps theorists across disciplines express real-world institutional complexity in well-defined ways. Relative to existing approaches in game theory, compositional game theory is especially promising for solving game systems with long-range dependencies, for comparing large numbers of structurally related games, and for nesting games into the larger logical or strategic flows typical of real world policy or institutional systems.
翻译:游戏理论被所有行为科学所使用,但其发展长期以来以相对简单的游戏和玩具系统的工具为中心,例如平衡结果的经济解释。我们的贡献、构成游戏理论允许另一种同样普遍的影响:高层次设计大型游戏以表达复杂的建筑并忠实地代表现实世界机构。 以数学基础编程语言为基础并在此作为一般计算框架引入的组合游戏理论增加了游戏表达的抽象性和模块性,加速了搜索和设计,并以明确的方式帮助各学科的理论家以明确的方式表达现实世界的体制复杂性。 相对于游戏理论中的现有方法,组合游戏理论对于解决具有长期依赖性的游戏系统、比较大量结构性相关游戏以及将游戏嵌入现实世界政策或体制体系典型的较大逻辑或战略流来说,尤其有希望。</s>