  Several extensions of the equal division value and the equal surplus division
value to the family of games with a priori unions are proposed in
Alonso-Meijide et al. (2020) ``On egalitarian values for cooperative games with
a priori unions.'' TOP 28: 672-688. In this paper we provide new axiomatic
characterizations of these values. Furthermore, using the equal surplus
division value in two steps, we propose a new coalitional value. The balanced
contributions and quotient game properties give rise to a different
modification of the equal surplus division value.
