Research On Opinion Dynamics Of A Kind Of Political Ecosystem

Reaching consensus is the basis for establishing diplomatic relations between countries as well as mutual cooperation in human communication,therefore,is of great significance in the development of human civilization.However,too many factors make it very difficult to study and isn't well understood.Using the knowledge of different disciplines to study the evolution of opinions,makes opinion dynamics a typical interdisplinary field.Among them,physics plays an important role,e.g.,Ising model in statistical physics,can be used to interpret the effect of surrounding neighbors on the individual opinion.In addition,many opinion models such as Voter model,and Sznajd model are proposed.The local alignment in these models that enables group reaching consensus can be analogous to the ferromagnetic interaction,and similarly the antiferromagnetism can also be used to describe some phenomena in social life,such as the process of buying and selling.While the modeling work based on ferromagnetism abounds,there are few studies on the coupling of individual opinions by using antiferromagnetism.We consider that,typically in the multi-party political life,individuals in the same party have the similar views and tend to be cooperative,while individuals in different parties have different opinions and tend to fight against each other.Therefore in this thesis,we adopt the idea of antiferromagnetic opinion dynamics and the mixed spin Ising model to establish the opinion dynamics model of the two-party political ecosystem.1.We propose a political ecosystem composed of two symmetrical political parties.Each individual has two alternative opinion states:agree or disagree.The ferromagnetic coupling(intra-party coupling)is adopted between individuals within the same party,and the antiferromagnetic coupling(inter-party coupling)is adopted between individuals from different parties.2.We also propose a political ecosystem composed of two asymmetrical political parties.An individual in one of the parties can choose one of the two states(two-state party):agree or disagree;The individual in the other party can choose from one of the three states(three-state party):agree,disagree,and abstain.The coupling approach is the same as the symmetrical two-party political ecological model.Our research implies that:(1)increasing the coupling strength makes the system more orderly.To strengthen the inter-party coupling strength is to make the individuals in the same party more united and the system more orderly by indirectly increasing the external pressure.Increasing the intra-party coupling strength is able to make the system more orderly by making individuals in the same party more united.(2)Compared to the inter-party coupling strength,the ability to resist noise of three-state party is obviously weaker than the two-state party,when the intra-party coupling strength is large enough.(3)Since the two parties have different ability to resist noise,with the increase of noise,the three-state party turns to disordered first,and then the two-state party loses order.The political ecosystem experiences three states:both ordered,disordered three-state party together with ordered two-state party,and both disordered.(4)In the case of identical coupling,the critical exponents obtained from the two-state sublattice belong to Ising universality class,and those exponents of three-state sublattice don't belong to Ising universality class.(5)The relationship between the standard deviation of the number of abstentions and its mean value satisfies the giant number fluctuations.