New axiomatisations of the Diversity Owen and Shapley values

In this note, we consider the class of TU-games with diversity constraints introduced by Béal et al. (J Math Econ 116:103077, 2025) and provide new characterizations of the so-called Diversity Shapley and Diversity Owen values, which extend the Shapley and Owen values. These results follow the approaches in terms of Fairness (van den Brink in Int J Game Theory 30:309–319, 2002) and Balanced contributions (Myerson in Int J Game Theory 9:169–182, 1980).