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Phase transition and hysteresis loop in structured games with global updating
Wen-Xu Wang1, Jinhu Lü, Guanrong Chen
1Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, People's Republic of China. wenxuw@gmail.com
Summary
This study introduces a new model for cooperative behavior in networks using game theory. It reveals that network structure and initial conditions influence cooperation levels, with implications for understanding social dynamics.
Area of Science:
- Complex Systems
- Game Theory
- Network Science
Background:
- Cooperative behavior is crucial in social and biological systems.
- Understanding strategy evolution in populations is a key challenge.
- Network structure significantly impacts individual interactions and outcomes.
Purpose of the Study:
- To develop and analyze a global payoff-based strategy updating model.
- To investigate cooperative dynamics in different network topologies.
- To explore the role of game paradigms like Prisoner's Dilemma and snowdrift game.
Main Methods:
- Utilizing a global payoff-based strategy updating model.
- Simulating interactions on regular, small-world, and scale-free networks.
- Employing Prisoner's Dilemma and snowdrift game frameworks.
Main Results:
- Discovered multistable cooperation states dependent on initial cooperator density.
- Observed discontinuous phase transitions and hysteresis in the snowdrift game on specific networks.
- Identified that individuals with more neighbors tend to maintain strategies, influencing others.
Conclusions:
- Network topology and initial density critically shape cooperation.
- The snowdrift game exhibits complex phase transitions and hysteresis.
- Neighbor count influences strategy adoption, promoting cooperation maintenance and spread.
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