A new concept for TU-values, called value dividends, is introduced. Similar to Harsanyi dividends, value dividends are defined recursively and provide new characterizations of values from the Harsanyi set. In addition, we generalize the Harsanyi set where each of the TU-values from this set is defined by the distribution of the Harsanyi dividends via sharing function systems and give an axiomatic characterization. As a TU value from the generalized Harsanyi set, we present the proportional Harsanyi solution, a new proportional solution concept. A new characterization of the Shapley value is proposed as a side effect. None of our characterizations uses additivity.

中文翻译：

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值红利、Harsanyi 集和扩展以及比例 Harsanyi 解

引入了一个新的 TU 值概念，称为价值红利。类似于 Harsanyi 红利，价值红利是递归定义的，并提供来自 Harsanyi 集合的价值的新特征。此外，我们概括了 Harsanyi 集，其中该集合中的每个 TU 值都由通过共享函数系统的 Harsanyi 红利的分布来定义，并给出了公理化的特征。作为广义 Harsanyi 集中的 TU 值，我们提出了比例 Harsanyi 解，这是一个新的比例解概念。提出了一种新的 Shapley 值特征作为副作用。我们的特征都没有使用可加性。