Cooperation dynamics in nonlinear spatial public goods games with endogenous synergy and discounting feedback

Ji Quan, Haoze Li, Man Zhang and Xianjia Wang

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: The synergy and discounting effects were initially proposed to characterize how the benefit nonlinearly accumulates in social dilemmas, however, these effects do not always act statically and may be affected by individuals' previous actions. To capture this feedback mechanism, we introduce an endogenous control variable based on historical records to the spatial public goods games (SPGG), which allows the payoff to be synergistically enhanced or discounted depending on the current and historical level of cooperation. We explore cooperation dynamics in a lattice network structured population playing this nonlinear game. The simulation results reveal that the synergy and discounting feedback based on historical information which allows the group to obtain a synergistic payoff when there are more cooperators than the historical average level is conducive to the emergence and prosperity of cooperation. Moreover, the length of the endogenous feedback accelerates the transition rate of strategy during the evolutionary process, and the length of feedback demonstrates a strong role in ending the coexistence state of cooperation and defection, while the amplitude efficiently regulates the intensity of feedback. Additionally, we find that endogenous synergy and discounting feedback are more effective in promoting the spread of cooperative strategy compared with the exogenous model. This work may contribute to expanding our understanding of the feedback-based endogenous synergy and discounting effect in promoting cooperation.

Keywords: Spatial public goods game; Cooperation dynamics; Synergy and discounting; Endogenous feedback (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923012614
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012614

DOI: 10.1016/j.chaos.2023.114359

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().