Cooperation sharing distributions in some cooperation-competition systems

TL;DR

This paper empirically investigates cooperation sharing distributions in 12 real-world systems, revealing they follow a specific functional form characterized by parameters that describe heterogeneity, and reports on their evolution durations.

Contribution

It provides detailed empirical data on cooperation sharing distributions and introduces a parametric form to describe their heterogeneity across different systems.

Findings

Distributions follow the form P(ω)(ω+α)^γ

Heterogeneity characterized by parameters α and γ

Evolution durations of systems are documented

Abstract

This online supplement mainly presents the details of empirical investigations of so-called "cooperation sharing" distributions in 12 real world cooperation-competition systems, which will be used for building an evolution model that will be reported elsewhere. All the distributions obey a function form P(\omega)(\omega+\alpha)^(gamma). The heterogeneities of the cooperation sharing distributions in different systems can be described by two distribution parameters,\alpha and \gamma. The empirically determined system evolution durations are also presented.