Heterogeneity of Some Cooperation/Competition Properties

TL;DR

This paper demonstrates how the heterogeneity index can effectively quantify disparity in cooperation and competition systems, deriving analytical relations that align with empirical data, and suggests a foundation for a general dynamic model based on the Zhang-Chang framework.

Contribution

It introduces the use of the heterogeneity index for analyzing cooperation/competition disparity and derives analytical relations linking distribution parameters, supported by empirical validation.

Findings

Heterogeneity index effectively describes disparity in cooperation/competition systems.

Analytical relations between distribution parameters and heterogeneity index are consistent with empirical data.

Potential to develop a general dynamic cooperation/competition model based on Zhang-Chang model.

Abstract

We show that the heterogeneity index, which was proposed by Hu and Wang (Physica A 2008 387 3769), can be used to describe the disparity of the cooperation sharing or competition gain distributions that is very important for the cooperation/competition system dynamic understanding. An analytical relation between the distribution parameters and the heterogeneity index is derived, which is in a good agreement with the empirical results. Our theoretical and empirical analyses also show that the relation between the distribution parameters can be analytically derived from so-called Zhang-Chang model (Physica A 2006 360 599 and 2007 383 687). This strongly recommends a possibility to create a general dynamic cooperation/competition model based on Zhang-Chang model.