The evolution of cooperation in public goods games on signed networks

Zhong, Xiaowen; Fan, Ying; Di, Zengru

doi:10.1016/j.physa.2021.126217

Cited by 11 publications

(3 citation statements)

References 24 publications

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“…Our work will aid in understanding the generating mechanism of network systems with positive and negative links, and has profound potential applications, such as information spreading, evolutionary games [26], trust transmission, and dynamic structural balance [27] on signed complex networks.…”

Section: Introductionmentioning

confidence: 99%

Evolutionary Model of Signed Edges in Online Networks Based on Infinite One-Dimensional Uniform Lattice

Li,

Yan,

Tang

2024

Mathematics

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The aim of this paper is to study the evolutionary dynamic model for signed edges as observed in online signed social networks. We introduce the incremental mechanism of signed edges behind a simple random walk and explain how this relates to Brownian motion and the diffusive process. We prove how a one-dimensional thermal diffusion equation can be obtained to describe such edge-generating mechanism, and moreover obtain a macroscopic probability distribution of positive and negative edges. The result reveals that the signed edge growth dynamics process can be regarded as a thermodynamic diffusion process. Both empirically and theoretically, we validate that signed network links follow the classic statistic mechanism, i.e., local Brownian motion gives rise to the global emergence pattern of the Gaussian process. The investigation might discover a new and universal characteristic for signed networks, and shed light on some potential applications, such as information spreading, evolutionary games, trust transmission, and dynamic structural balance.

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Section: Introductionmentioning

confidence: 99%

Evolutionary Model of Signed Edges in Online Networks Based on Infinite One-Dimensional Uniform Lattice

Li,

Yan,

Tang

2024

Mathematics

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“…How to improve the level of cooperation and what methods can be used to better cooperate have attracted great attention in the academic community 4 – 6 . Under such background, evolutionary game theory 7 – 9 provides a good framework for explaining this phenomenon 10 , and results in many game models, such as prisoner’s dilemma game 11 – 13 , snowdrift game 14 – 16 and ultimatum game 17 , 18 and public goods game 19 , 20 . In addition, a considerable number of mechanisms such as space and network 21 – 23 also play a very important role in promoting cooperation.…”

Section: Introductionmentioning

confidence: 99%

Prisoner’s dilemma game model Based on historical strategy information

Gou

2023

Sci Rep

167

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In many dilemmas, decisions are determined not by a single factor, but by multiple ones, including memory, reputation, reward and punishment. In recent years, how to design a mechanism to promote cooperation has become a research hot-spot. However, most of the previous studies mainly consider the historical benefits of the game, and pay less attention to the stability of the strategy (the frequency of strategy changes in the length of memory) and the proportion of memory in decision-making. The decision-making process of group evolution involves the influence of memory information on cooperative evolution in multi round games. It makes up for the lack of stability factors and weights in previous studies. Based on the above factors, a new strategy update rule is proposed to study the influence of the stability of historical strategy information on the evolution of cooperation in prisoner’s dilemma game, and the influence of memory weight on cooperation is considered. The stability of the current strategy is measured by the strategy in historical memory (the number of times the strategy in memory is continuous and consistent with the current strategy), which can determine the probability of an individual learning the neighbor strategy next time. Numerical simulation shows that an appropriate increase in the length of historical memory is more conducive to the emergence of cooperation, and the greater the weight of historical strategy information is, the more conducive to promoting cooperation, which shows that historical strategy information is still the main factor in decision-making. This study will help us understand the cooperative evolution of many real systems, such as nature, biology, society and so on, and effectively design reasonable mechanisms to promote cooperation.

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“…How to improve the level of cooperation and what methods can be used to better cooperate have attracted great attention in the academic community [4][5][6] . Under such background, evolutionary game theory [7][8][9] provides a good framework for explaining this phenomenon 10 , and results in many game models, such as prisoner's dilemma game [11][12][13] , snowdrift game [14][15][16] and ultimatum game 17,18 and public goods game 19,20 . In addition, a considerable number of mechanisms such as space and network [21][22][23] also play a very important role in promoting cooperation.…”

Section: Introductionmentioning

confidence: 99%

Prisoner’s Dilemma Game Model Based on Historical Strategy Information

Gou

2022

Preprint

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In many dilemmas, decisions are determined not by a single factor, but by multiple ones, including memory, reputation, reward and punishment, etc. In recent years, how to design a mechanism to promote cooperation has become a research hot-spot. However, most of the previous studies mainly consider the historical benefits of the game, and pay less attention to the stability of the strategy (that is, the frequency of strategy changes in the length of memory) and the proportion of memory in decision-making. The decision-making process of group evolution involves the influence of memory information on cooperative evolution in multi round games. It makes up for the lack of stability factors and weights in previous studies. Based on the above factors, a new strategy update rule is proposed to study the influence of the stability of historical strategy information on the evolution of cooperation in prisoner’s dilemma game, and the influence of memory weight on cooperation is considered. The stability of the current strategy is measured by the strategy in historical memory (the number of times the strategy in memory is continuous and consistent with the current strategy), which can determine the probability of an individual learning the neighbor strategy next time. Numerical simulation shows that an appropriate increase in the length of historical memory is more conducive to the emergence of cooperation, and the greater the weight of historical strategy information is, the more conducive to promoting cooperation, which shows that historical strategy information is still the main factor in decision-making. This study will help us understand the cooperative evolution of many real systems, such as nature, biology, society and so on, and effectively design reasonable mechanisms to promote cooperation.

show abstract

The evolution of cooperation in public goods games on signed networks

Cited by 11 publications

References 24 publications

Evolutionary Model of Signed Edges in Online Networks Based on Infinite One-Dimensional Uniform Lattice

Evolutionary Model of Signed Edges in Online Networks Based on Infinite One-Dimensional Uniform Lattice

Prisoner’s dilemma game model Based on historical strategy information

Prisoner’s Dilemma Game Model Based on Historical Strategy Information

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