The antonym for the phrase "more gladiatorial" could be any word or phrase that denotes something less aggressive or combative. Examples of such words might include "peaceful," "nonviolent," "gentle," or "passive." These words describe a style or approach that is less focused on direct confrontation or conflict, and more on compromise, cooperation, or diplomacy. The opposite of "more gladiatorial" could also be a phrase that implies a willingness to listen, understand, and work towards a common goal, such as "collaborative," "conciliatory," or "cooperative." In any case, the antonym for "more gladiatorial" is a word or phrase that implies an approach to problem-solving that is less confrontational and more flexible.