Physics Unravels the Truth Behind “The Enemy of My Enemy Is My Friend”

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Researchers at Northwestern University have validated the social balance theory, originally proposed by Fritz Heider, using an advanced network model that accounts for both personal acquaintance levels and individual positivity. The new model could improve understanding and management of complex systems in social dynamics and beyond. Credit: SciTechDaily.comresearchers have used statistical physics to confirm the theory that underlies this famous axiom.

The useful new framework could help researchers better understand social dynamics, including political polarization and international relations, as well as any system that comprises a mixture of positive and negative interactions, such as neural networks or drug combinations. “It seems very aligned with social intuition,” Kovács said. “You can see how this would lead to extreme polarization, which we do see today in terms of political polarization. If everyone you like also dislikes all the people you don’t like, then that results in two parties that hate each other.”

In their network model, Kovács and Hao did not assign truly random negative or positive values to the edges. For every interaction to be random, every node would need to have an equal chance of encountering one another. In real life, however, not everyone actually knows everyone else within a social network. For example, a person might not ever encounter their friend’s friend, who lives on the other side of the world.

“We know now that you need to take into account these two constraints,” Kovács said. “Without those, you cannot come up with the right mechanisms. It looks complicated, but it’s actually fairly simple mathematics.”Kovács and Hao currently are exploring several future directions for this work. In one potential direction, the new model could be used to explore interventions aimed at reducing political polarization.

 

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