We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied envy-freeness up to one item (EF1) and envy-freeness up to any item (EFX) to this setting, and we propose a new fairness concept called general fair share (GFS). We undertake a detailed study and present algorithms for finding fair allocations.

翻译：我们研究在附加外部因素下不可分割物品的公平分配问题,每个代理商也从分配给其他代理商的物品中获得价值,我们提出了几个新的公平概念,我们把研究周全的无嫉妒程度扩大到一个项目(EF1),把无嫉妒程度扩大到任何项目(EFX),我们提出了一个新的公平概念,称为普遍公平份额(GFS),我们进行了详细研究,并提出了寻找公平分配的算法。