Allocation games are zero-sum games that model the distribution of resources among multiple agents. In this paper, we explore the interplay between an \textit{subjective identity} and its impact on notions of fairness in allocation. The sense of identity in agents is known to lead to responsible decision-making in non-cooperative, non-zero-sum games like Prisoners' Dilemma, and is a desirable feature to add into agent models. However, when it comes to allocation, the sense of identity can be shown to exacerbate inequities in allocation, giving no rational incentive for agents to act fairly towards one another. This lead us to introduce a sense of fairness as an innate characteristic of autonomous agency. For this, we implement the well-known Ultimatum Game between two agents, where their sense of identity association and their sense of fairness are both varied. We study the points at which agents find it no longer rational to identify with the other agent, and uphold their sense of fairness, and vice versa. Such a study also helps us discern the subtle difference between responsibility and fairness when it comes to autonomous agency.

翻译：分配博弈是一种零和博弈，用于模拟多个智能体之间的资源分配。本文探讨了“主观身份认同”及其对分配公平性概念的影响。已知在非合作、非零和博弈（如囚徒困境）中，智能体的身份认同感会促使其做出负责任的决策，这是智能体模型中值得引入的理想特性。然而，在分配场景中，身份认同感可能加剧分配不公，使智能体缺乏公平对待彼此的理性动机。这促使我们将公平感引入作为自主智能体的内在属性。为此，我们在两个智能体间实现了经典的“最后通牒博弈”，并同时调整其身份认同关联度与公平感知强度。我们研究了智能体在何种情况下不再认为认同对方或坚持公平原则具有合理性，反之亦然。此项研究也有助于我们辨析自主智能体领域中责任感与公平性之间的微妙差异。