Structural Analysis And Evolutionary Dynamics On Interdependent Lattices

The game behavior is a ubiquitous phenomenon during the development of nature and human society.How to understand the emergency and maintenance of cooperative behavior between those players poses a great challenge to the scientific community,and the evolutionary game theory provides a new perspective for solving this puzzle.In recent years,it is found from the network science that the heterogeneous topology of complex network is also a significant mechanism to promote the cooperative behavior.So far,most game mechanism researches in complex networks focus on single and independent networks,but real networking systems are not isolated,but interdependent.Therefore,structural analysis and evolutionary dynamics performed on interdependent lattices are of high importance and practical significance.In this thesis,to characterize the coupling correlation,the modeling and simulation is utilized to investigate the evolution of cooperation on interdependent lattices under several different types of coupling schemes.The main contents of the thesis and innovative points are described as follows:1)To study the community structure of scientific collaboration network.Based on complexnetwork,the character and structure of the network and the distribution of communitystructure are further analyzed.It is found that the collaboration network displays theobvious community structure and provides a meaningful guidance for promotingcooperation of researchers.2)To propose a novel network structure modeling the interdependency and multiplexing oftwo or more sub-models,and discuss the evolutionary behavior of Prisoner's DilemmaGame(PDG)with individual diversity under this structure.The different strategyspreading abilities characterize the individual behavior diversity in the current model.Alarge plethora of simulations validate the fact that the individual diversity and coupling ofutility can greatly promote the evolution of cooperation and enhance the collectivecooperation level.3)To investigate the evolution of cooperation on weighted networks with coupling in PDG.In this model,the system is composed of two lattices on which each player will beendowed as a special weight taking from three typical distributions on onelattice(weighted lattice),and the other one is un-weighted lattice.The diversity ischaracterized by the individual weighting on one lattice.Extensive simulations indicatethat the interdependency and individual weighting will commonly drive the cooperationinto a higher level when compared to the standard un-weighted lattice.4)To explore how the heterogeneous coupling strength affects the evolution of cooperationin PDG with two types of coupling schemes.To mimick the realistic cases,this thesisproposes two types of heterogeneous coupling schemes: one is the symmetric coupling that means the coupling strengths between player and its partner are the same,the other one is the asymmetric coupling,which implies that the coupling strengths between them are different.Large quantities of simulations indicate that the interdependency or the coupling between two lattices can largely elevate the cooperation level within the whole population,meanwhile,the symmetric coupling strength leads to the higher cooperation when compared to the asymmetric one,that is,the symmetric coupling further favors the spread of cooperation.