Cooperation dynamics in the networked geometric Brownian motion

Abstract

Recent works suggest that pooling and sharing may constitute a fundamental mechanism for the evolution of cooperation in well-mixed fluctuating environments. The rationale is that, by reducing the amplitude of fluctuations, pooling and sharing increases the steady-state growth rate at which the individuals self-reproduce. However, in reality interactions are seldom realized in a well-mixed structure, and the underlying topology is in general described by a complex network. Motivated by this observation, we investigate the role of the network structure on the cooperative dynamics in fluctuating environments, by developing a model for networked pooling and sharing of resources undergoing environmental fluctuations, represented through geometric Brownian motion. The study reveals that, while in general cooperation increases the individual steady state growth rates (i.e. is evolutionary advantageous), the interplay with the network structure may yield large discrepancies in the observed individual resource endowments. We comment possible biological and social implications and discuss relations to econophysics.

References in corpus (16)

• Emergence of scaling in random networks
• Power-law distributions in empirical data
• Statistical physics of human cooperation
• Evolutionary dynamics of group interactions on structured populations: A review
• Scale-free networks are rare
• Evolutionary dynamics on any population structure
• Evaluating gambles using dynamics
• Asymmetric evolutionary games
• Ergodicity breaking in geometric Brownian motion
• Optimal leverage from non-ergodicity
• Unfair and Anomalous Evolutionary Dynamics from Fluctuating Payoffs
• Effects of network topology on wealth distributions
• Uncertainty Reduction for Stochastic Processes on Complex Networks
• Cooperation dynamics of generalized reciprocity in state-based social dilemmas
• Wealth distribution on complex networks
• Promoting cooperation by preventing exploitation: The role of network structure

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• Geometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process
• Generalised geometric Brownian motion: Theory and applications to option pricing
• Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity
• An evolutionary advantage of cooperation
• Stable cooperation emerges in stochastic multiplicative growth
• Ergodicity breaking in wealth dynamics: The case of reallocating geometric Brownian motion
• Random resetting in search problems
• Autocorrelation functions and ergodicity in diffusion with stochastic resetting
• Evolution of cooperation in networked heterogeneous fluctuating environments
• Interplay of network structure and talent configuration on wealth dynamics
• Cooperation dynamics of generalized reciprocity on complex networks
• Power Accretion in Social Systems