We show how (resource) bounded rationality can be understood as the interplay of two fundamental moral principles: deontology and utilitarianism. In particular, we interpret deontology as a regularisation function in an optimal control problem, coupled with a free parameter, the inverse temperature, to shield the individual from expected utility. We discuss the information geometry of bounded rationality and aspects of its relation to rate distortion theory. A central role is played by Markov kernels and regular conditional probability, which are also studied geometrically. A gradient equation is used to determine the utility expansion path. Finally, the framework is applied to the analysis of a disutility model of the restriction of constitutional rights that we derive from legal doctrine. The methods discussed here are also relevant to the theory of autonomous agents.
翻译:本文阐释了(资源)有限理性如何被理解为两种基本道德原则——义务论与功利主义——的相互作用。具体而言,我们将义务论解释为最优控制问题中的正则化函数,并通过一个自由参数(逆温度)与期望效用耦合,以保护个体免受期望效用的支配。我们探讨了有限理性的信息几何结构及其与率失真理论关联的若干方面。马尔可夫核与正则条件概率在其中扮演核心角色,本文亦从几何角度对其进行了研究。我们采用梯度方程来确定效用扩展路径。最后,将该框架应用于分析我们从法律学说中推导出的宪法权利限制的负效用模型。本文所讨论的方法对自主智能体理论亦具有参考价值。