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Evolutionary dynamics of zero-determinant strategies in repeated multiplayer games
Fang Chen1, Te Wu2, Long Wang3
1Center for Systems and Control, College of Engineering, Peking University, Beijing, China.
Journal of Theoretical Biology
|July 2, 2022
Summary
Generous and extortionate zero-determinant (ZD) strategies in multiplayer games were theoretically analyzed. Limited generosity benefits players, while severe extortion aids extortioners in evolutionary dynamics.
Area of Science:
- Evolutionary game theory
- Multiplayer social dilemmas
- Computational game theory
Background:
- Zero-determinant (ZD) strategies are known in repeated social dilemmas.
- Limited theoretical research exists on the evolutionary performance of multiplayer ZD strategies.
Purpose of the Study:
- To theoretically analyze the evolutionary dynamics of generous and extortionate ZD strategies in multiplayer settings.
- To investigate the impact of generosity and extortion levels on these dynamics.
Main Methods:
- A state-clustering method was employed for theoretical analysis.
- Evaluated strategies in competitions against other ZD, memory-one, and classical strategies.
Main Results:
- Limited generosity provides a strategic advantage to players.
- Higher levels of extortion improve the stability of extortionate strategies.
- Analysis considered previously overlooked factors like the degree of generosity and extortion.
Conclusions:
- Theoretical insights into the evolutionary dynamics of ZD strategies in repeated multiplayer games.
- Understanding the influence of strategy parameters on evolutionary success.
- Provides a foundation for further research into complex social dilemmas.
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