Emergent Hierarchical Structures in Multiadaptive Games
Sungmin Lee, Petter Holme, Zhi-Xi Wu

TL;DR
This paper introduces a multiadaptive game model where agent behaviors influence both game rules and network structures, leading to complex dynamics including the emergence of hierarchical, cooperative networks.
Contribution
It presents a novel multiadaptive game framework demonstrating how hierarchical social structures can emerge from agent-environment feedbacks.
Findings
Multiple dynamic regimes identified with distinct behaviors.
Hierarchical, heterogeneous networks emerge naturally in the model.
Cooperation co-evolves with network topology.
Abstract
We investigate a game-theoretic model of a social system where both the rules of the game and the interaction structure are shaped by the behavior of the agents. We call this type of model, with several types of feedback couplings from the behavior of the agents to their environment, a multiadaptive game. Our model has a complex behavior with several regimes of different dynamic behavior accompanied by different network topological properties. Some of these regimes are characterized by heterogeneous, hierarchical interaction networks, where cooperation and network topology coemerge from the dynamics.
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