Existing efforts to formulate computational definitions of fairness have largely focused on distributional notions of equality, where equality is defined by the resources or decisions given to individuals in the system. Yet existing discrimination and injustice is often the result of unequal social relations, rather than an unequal distribution of resources. Here, we show how optimizing for existing computational and economic definitions of fairness and equality fail to prevent unequal social relations. To do this, we provide an example of a self-confirming equilibrium in a simple hiring market that is relationally unequal but satisfies existing distributional notions of fairness. In doing so, we introduce a notion of blatant relational unfairness for complete-information games, and discuss how this definition helps initiate a new approach to incorporating relational equality into computational systems.

翻译：制定公平计算定义的现有努力主要集中于分配平等的概念,平等是由系统内给予个人的资源或决定界定的,但现有的歧视和不公正往往是不平等的社会关系的结果,而不是资源分配不平等的结果。在这里,我们表明如何优化现有的公平和平等计算和经济定义不能防止不平等的社会关系。为此,我们提供了一个在简单的雇用市场中自我确认平衡的例子,这个市场是关系不平等的,但满足了现有的分配公平概念。我们这样做,我们引入了一种对完整信息游戏的公然关系不公平的概念,并讨论了这一定义如何有助于提出一种将关系平等纳入计算系统的新方法。