This paper presents a unified interpretation of $α$-mutual information ($α$-MI) in terms of generalized $g$-leakage. Specifically, we present a novel interpretation of $α$-MI within an extended framework for quantitative information flow based on adversarial generalized decision problems. This framework employs the Kolmogorov-Nagumo mean and the $q$-logarithm to characterize adversarial gain. Furthermore, we demonstrate that, within this framework, the parameter $α$ can be interpreted as a measure of the adversary's risk aversion.

翻译：本文提出了一种基于广义$g$泄漏的统一解释框架来理解$α$互信息（$α$-MI）。具体而言，我们在基于对抗性广义决策问题的扩展定量信息流框架内，提出了一种对$α$-MI的新颖解释。该框架采用柯尔莫哥洛夫-南云平均与$q$对数来刻画对抗性收益。此外，我们证明在此框架下，参数$α$可被解释为对抗方风险厌恶程度的度量指标。