Ken and Tim realize that in order to resolve their conflict, it is better if they each get some of what they want instead of nothing. Ken and Tim manage their conflict using the strategy. competing compromising accommodation avoidance

compromising

Explanation:

A compromise approach to resolve conflict means seeking to find a "common ground" for both parties. Through this approach, individuals understand that in any situation of conflict any group can't always be fully satisfied. and therefore they reach a certain point where both of them would be satisfied. As per the question, Ken and Tim realized that is better to reach a common ground than tom lose everything is an example of compromising conflict management  strategy.

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