Which conflict management style involves working towards a mutually acceptable solution?

The conflict management style that involves working towards a mutually acceptable solution is compromise. This approach focuses on finding a middle ground where both parties can agree to a solution that partially satisfies each individual's needs or interests, rather than allowing the conflict to remain unresolved or escalating into further disagreement.

In compromise, each party is typically willing to give up something to reach a resolution, which fosters collaboration and maintains relationships. This style is particularly effective in situations where time is a factor, and both parties have equal power and desire to come to a resolution that minimizes resentment and promotes continued cooperation.

The other styles, while they have their applications in different contexts, do not primarily aim for a mutual agreement in the same way that compromise does.