The table contains letters that represent payoff values. If the strategy combination (B , Y) is a Nash equilibrium, then prove that the strategy combination (A , X) must also be a Nash equilibrium assuming there are no dominant strategies. Assume that no two letters will take on the same value. 
Definitions:
DBT Counselors
Trained professionals who specialize in Dialectical Behavior Therapy, a type of cognitive-behavioral therapy that emphasizes the psychosocial aspects of treatment, especially for managing emotions and improving relationships.
Borderline Personality Disorder
A mental health disorder characterized by unstable moods, behavior, and relationships.
Individual Sessions
One-on-one meetings between a therapist and client, focusing on the client's personal issues, progress, and goals.
Behavioral Change
The act of modifying behavioral patterns, often aimed at improving personal health or adapting to new social environments.
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