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Related Experiment Video

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Influence analysis of network evolution on Parrondo effect.

Ye Ye¹, Zhuo-Yuan Zhai², Xiao-Rong Hang²

¹School of Mechanical Engineering, Anhui University of Technology, Anhui Ma'anshan, 243002, China.

|January 20, 2024

Summary

Parrondo's paradox can be achieved through network evolution. A losing Game B, when dynamically evolving within a network, can lead to a winning outcome, demonstrating the Parrondo effect.

Keywords:

Dynamic networks Network connection Network evolution Parrondo effect

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Area of Science:

Complex systems
Network science
Game theory

Background:

Parrondo's paradox describes how combining losing strategies can yield a winning result.
Previous studies focused on random or periodic game combinations.

Purpose of the Study:

To propose and investigate a dynamic network evolution model for achieving Parrondo's paradox.
To analyze the conditions and mechanisms underlying the Parrondo effect in evolving networks.

Main Methods:

A dynamic process of network evolution involving Game A and Game B was simulated.
Game B's strategy depended on node capital relative to neighbors' average capital.
Network connection types and evolution frequency were analyzed.

Main Results:

Network structure evolution enabled a losing Game B to produce a winning Parrondo effect.
The 'ratcheting' mechanism in Game B was enhanced by network evolution.
The 'strong' Parrondo effect occurred within specific parameter spaces and was influenced by network connectivity and evolution frequency.

Conclusions:

Dynamic network evolution offers a novel pathway to realize Parrondo's paradox.
Network structure and evolution dynamics are crucial for generating paradoxical winning outcomes.
Understanding these mechanisms can inform strategies in complex adaptive systems.