Spatial public goods games with queueing and reputation

Fuente: arXiv
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Hauptverfasser: Zhang, Gui, Xiong, Xiaojin, Pin, Bin, Feng, Minyu, Perc, Matjaž
Format: Preprint
Veröffentlicht: 2025
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_version_ 1866909614220509184
author Zhang, Gui
Xiong, Xiaojin
Pin, Bin
Feng, Minyu
Perc, Matjaž
author_facet Zhang, Gui
Xiong, Xiaojin
Pin, Bin
Feng, Minyu
Perc, Matjaž
contents In real-world social and economic systems, the provisioning of public goods generally entails continuous interactions among individuals, with decisions to cooperate or defect being influenced by dynamic factors such as timing, resource availability, and the duration of engagement. However, the traditional public goods game ignores the asynchrony of the strategy adopted by players in the game. To address this problem, we propose a spatial public goods game that integrates an M/M/1 queueing system to simulate the dynamic flow of player interactions. We use a birth-death process to characterize the stochastic dynamics of this queueing system, with players arriving following a Poisson process and service times being exponentially distributed under a first-come-first-served basis with finite queue capacity. We also incorporate reputation so that players who have cooperated in the past are more likely to be chosen for future interactions. Our research shows that a high arrival rate, low service rate, and the reputation mechanism jointly facilitate the emergence of cooperative individuals in the network, which thus provides an interesting and new perspective for the provisioning of public goods.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09154
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spatial public goods games with queueing and reputation
Zhang, Gui
Xiong, Xiaojin
Pin, Bin
Feng, Minyu
Perc, Matjaž
Social and Information Networks
Physics and Society
In real-world social and economic systems, the provisioning of public goods generally entails continuous interactions among individuals, with decisions to cooperate or defect being influenced by dynamic factors such as timing, resource availability, and the duration of engagement. However, the traditional public goods game ignores the asynchrony of the strategy adopted by players in the game. To address this problem, we propose a spatial public goods game that integrates an M/M/1 queueing system to simulate the dynamic flow of player interactions. We use a birth-death process to characterize the stochastic dynamics of this queueing system, with players arriving following a Poisson process and service times being exponentially distributed under a first-come-first-served basis with finite queue capacity. We also incorporate reputation so that players who have cooperated in the past are more likely to be chosen for future interactions. Our research shows that a high arrival rate, low service rate, and the reputation mechanism jointly facilitate the emergence of cooperative individuals in the network, which thus provides an interesting and new perspective for the provisioning of public goods.
title Spatial public goods games with queueing and reputation
topic Social and Information Networks
Physics and Society
url https://arxiv.org/abs/2505.09154