Econ Papers Daily / 期刊论文
关于多样性Owen值的一个注记
A note on the Diversity Owen value
摘要
Béal et al. (Int J Game Theory 54:12, 2025) introduce the Diversity Owen value for TU-games with diversity constraints, and provide axiomatic characterizations using the axioms of fairness and balanced contributions. However, there exist logical flaws in the proofs of the uniqueness of these characterizations. In this note we provide the corrected proofs of the characterizations by introducing the null player for diverse games axiom. Also, we establish an alternative characterization of the Diversity Owen value by modifying the axioms of the above characterizations.
中文摘要
Béal等人（Int J Game Theory 54:12, 2025）针对具有多样性约束的TU博弈引入了多样性Owen值，并利用公平性和平衡贡献公理给出了公理化刻画。然而，这些刻画唯一性证明中存在逻辑缺陷。在本注记中，我们通过引入多样性博弈的零参与者公理，提供了修正后的刻画证明。此外，我们通过修改上述刻画的公理，建立了多样性Owen值的另一种刻画。