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Published on: September 8, 2023
Coevolution of quantum and classical strategies on evolving random networks
Qiang Li1, Azhar Iqbal, Matjaž Perc
1State Key Laboratory of Power Transmission Equipment and System Security and New Technology, College of Electrical Engineering, Chongqing University, Chongqing, China. anjuh@cqu.edu.cn
Quantum strategies outperform classical strategies in the prisoner's dilemma game on evolving networks. Frequent network updates and punishment mechanisms enhance cooperation, leading to self-organized network structures.
Area of Science:
- Complex Systems
- Game Theory
- Quantum Computing
Background:
- The prisoner's dilemma game models strategic interactions and cooperation.
- Network structures influence the evolution of strategies.
- Quantum strategies offer potential advantages over classical ones.
Purpose of the Study:
- To investigate the coevolution of quantum and classical strategies on dynamic weighted and directed random networks.
- To analyze the impact of network rewiring, link weight adjustments, and strategy updates on cooperation.
- To determine if quantum strategies offer an advantage in this evolving game-theoretic context.
Main Methods:
- Agent-based modeling of the prisoner's dilemma on random networks.
- Incorporation of link rewiring, weight adjustment (punishment), and strategy evolution.
- Analysis of network properties (average path length, clustering coefficient) and cooperation levels.
Main Results:
- Quantum strategies consistently outperform classical strategies.
- Cooperative behavior is more sustainable with frequent network updates and the use of punishment (negative link weights).
- The evolutionary competition drives network self-organization, resulting in small average path length and high clustering.
Conclusions:
- Quantum strategies provide a robust advantage in evolving game-theoretic scenarios.
- Dynamic network structures and adaptive agent behaviors, including punishment, are crucial for maintaining cooperation.
- The interplay between strategy evolution and network dynamics leads to emergent, optimized network topologies.
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