Evolutionary dynamics in stochastic nonlinear public goods games
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912368982753280 |
|---|---|
| author | Zhu, Wenqiang Wang, Xin Wang, Chaoqian Liu, Longzhao Hu, Jiaxin Zheng, Zhiming Tang, Shaoting Zheng, Hongwei Dong, Jin |
| author_facet | Zhu, Wenqiang Wang, Xin Wang, Chaoqian Liu, Longzhao Hu, Jiaxin Zheng, Zhiming Tang, Shaoting Zheng, Hongwei Dong, Jin |
| contents | Understanding the evolution of cooperation in multiplayer games is of vital significance for natural and social systems. An important challenge is that group interactions often leads to nonlinear synergistic effects. However, previous models mainly focus on deterministic nonlinearity where the arise of synergy or discounting effect is determined by certain conditions, ignoring uncertainty and stochasticity in real-world systems. Here, we develop a probabilistic framework to study the cooperative behavior in stochastic nonlinear public goods games. Through both analytical treatment and Monte Carlo simulations, we provide comprehensive understanding of social dilemmas with stochastic nonlinearity in both well-mixed and structured populations. We find that increasing the degree of nonlinearity makes synergy more advantageous when competing with discounting, thereby promoting cooperation. Interestingly, we show that network reciprocity loses effectiveness when the probability of synergy is small. Moreover, group size exhibits nonlinear effects on group cooperation regardless of the underlying structure. Our findings thus provide novel insights into how stochastic nonlinearity influences the emergence of prosocial behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02042 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evolutionary dynamics in stochastic nonlinear public goods games Zhu, Wenqiang Wang, Xin Wang, Chaoqian Liu, Longzhao Hu, Jiaxin Zheng, Zhiming Tang, Shaoting Zheng, Hongwei Dong, Jin Physics and Society Understanding the evolution of cooperation in multiplayer games is of vital significance for natural and social systems. An important challenge is that group interactions often leads to nonlinear synergistic effects. However, previous models mainly focus on deterministic nonlinearity where the arise of synergy or discounting effect is determined by certain conditions, ignoring uncertainty and stochasticity in real-world systems. Here, we develop a probabilistic framework to study the cooperative behavior in stochastic nonlinear public goods games. Through both analytical treatment and Monte Carlo simulations, we provide comprehensive understanding of social dilemmas with stochastic nonlinearity in both well-mixed and structured populations. We find that increasing the degree of nonlinearity makes synergy more advantageous when competing with discounting, thereby promoting cooperation. Interestingly, we show that network reciprocity loses effectiveness when the probability of synergy is small. Moreover, group size exhibits nonlinear effects on group cooperation regardless of the underlying structure. Our findings thus provide novel insights into how stochastic nonlinearity influences the emergence of prosocial behavior. |
| title | Evolutionary dynamics in stochastic nonlinear public goods games |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2408.02042 |