An evolution model of complex systems with simultaneous cooperation and competition

Xiu-Lian Xu, Chun-Hua Fu, Hui Chang and Da-Ren He

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 21, 3719-3726

Abstract: Systems with simultaneous cooperation and competition among the elements are ubiquitous. In spite of their practical importance, knowledge on the evolution mechanism of this class of complex system is still very limited. In this work, by conducting extensive empirical survey to a large number of cooperation–competition systems which cover wide categories and contain the information of network topology, cooperation–competition gain, and the evolution time, we try to get some insights into the universal mechanism of their evolutions. Empirical investigations show that the distributions of cooperation–competition gain interpolates between the power law function and the exponential function. Particularly, we found that the cooperation–competition systems with longer evolution durations tend to have more heterogeneous distributions of cooperation–competition gain. Such an empirical observation can be well explained by an analytic model in which the evolution of the systems are mainly controlled by the Matthew effect, and the marginal heterogeneity of the initial distribution is amplified by the Matthew effect with similar speed in spite of the diversity of the investigated systems.

Keywords: Cooperation–competition; Cooperation sharing; Heterogeneity (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437111004717
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:phsmap:v:390:y:2011:i:21:p:3719-3726

DOI: 10.1016/j.physa.2011.06.024

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().