Science
New Research Confirms Age-Old Adage: Enemy of My Enemy Is My Friend

Recent research from Northwestern University has provided significant insights into the age-old saying, “the enemy of my enemy is my friend.” This study, which employs principles from both psychology and physics, suggests that social dynamics may indeed support this assertion. The findings could have broad implications for understanding political alliances, international relations, and social interactions.
In the 1940s, psychologist Fritz Heider introduced social balance theory, which posits that humans inherently seek harmony in their relationships. According to this theory, four fundamental rules govern human interactions: an enemy of an enemy is a friend, a friend of a friend is a friend, a friend of an enemy is an enemy, and an enemy of a friend is also an enemy. These rules help explain how individuals navigate complex social networks to maintain cognitive consistency.
Researchers categorize relationships into three types. Positive relationships occur when all parties share mutual positive sentiments. Negative relationships involve conflict or antagonism, while mixed relationships encompass both positive and negative feelings, resulting in potential discomfort until balance is restored.
The phrase itself, which traces back to Latin as “Amicus meus, inimicus mei,” was first documented in English in 1884. Although previous studies attempted to validate Heider’s theory, results were often inconclusive due to overly simplified network models that failed to capture the intricacies of human relationships.
To address this, the Northwestern team successfully integrated two critical factors: the complexity of social networks and the varying degrees of positivity among individuals. This was a pivotal step, as earlier models could only account for one variable at a time. István Kovács, the study’s senior author, emphasized the importance of understanding both constraints. “We realized that we needed to take into account both constraints simultaneously: who knows whom and that some people are just friendlier than others,” he stated in a communication shared with Digital Journal.
Kovács and his team analyzed four large-scale datasets to develop their network model. These included user-rated comments from the social news site Slashdot, interactions on the U.S. Congress floor, exchanges among Bitcoin traders, and product reviews from the consumer site Epinions.
In creating the model, the researchers avoided assigning arbitrary positive or negative values to relationships. Instead, they utilized a statistical framework to realistically reflect social interactions, accounting for the fact that not everyone knows every other person in a network. This approach allowed them to incorporate the notion that some individuals naturally foster more positive connections than others.
By applying these constraints, the model demonstrated that large-scale social networks consistently align with Heider’s theory of social balance. It also revealed that this theory can be applied to more complex social structures, potentially extending to interactions involving four or more individuals.
The study, titled “Proper network randomization is key to assessing social balance,” was published in the journal Science Advances. The implications of this research extend far beyond theoretical discussions, offering a fresh perspective on political polarization and international relations, as well as various systems characterized by a mix of positive and negative interactions, including neural networks and drug combinations.
This new understanding of social dynamics not only reinforces the age-old adage but also provides valuable tools for researchers and policymakers seeking to navigate the complexities of human relationships in diverse contexts.
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