Final answer:
The positive influence of cognitive variables on close relationships particularly highlights interdependence, where each partner has a mutual reliance on the other, and similarity, as people tend to connect with those who share common attributes.
Step-by-step explanation:
Successful close relationships are indeed influenced by several cognitive variables. Among these, the answer to the student's question is interdependence. This concept suggests a mutual reliance between partners in a relationship wherein each values the contributions and wellbeing of the other, leading to a healthier, balanced partnership.
Interdependence stands out because it involves a balance of give and take between the individuals, which aligns with the Social Exchange Theory. This theory posits that people seek to maintain relationships where the perceived benefits outweigh the costs. Moreover, another factor significantly contributing to relationship formation and sustainability is similarity, as people often form bonds with those who share similar backgrounds, attitudes, and lifestyles.
Cognitive decoupling may also play a role, as it allows individuals to predict and understand their partner's thoughts and behaviors, further contributing to a stable relationship.