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Sznajd model : ウィキペディア英語版
Sznajd model

The Sznajd model (also: ''United we Stand, Divided we Fall'' model) is an econophysics model suggested in 2000 introduced to gain fundamental understanding about opinion dynamics using methods from statistical physics. The Sznajd model implements a phenomenon called social validation and thus extends the Ising spin model. In simple words, the model states:
* Social validation: If two people share the same opinion, their neighbors will start to agree with them.
* Discord destroys: If a block of adjacent persons disagree, their neighbors start to argue with them.
== Mathematical formulation ==
For simplicity, one assumes that each individual i has
an opinion Si which might be Boolean (S_i=-1 for ''no'', S_i=1 for ''yes'') in its simplest formulation, which means that each individual either agrees or disagrees to a given question.
In the original 1D-formulation, each individual has exactly two neighbors just like beads on a bracelet. At each time step a pair of individual S_i and S_ is chosen at random to change their nearest neighbors' opinion (or: Ising spins) S_ and S_ according to two dynamical rules:
# If S_i=S_ then S_=S_i and S_=S_i. This models social validation, if two people share the same opinion, their neighbors will change their opinion.
# If S_i=-S_ then S_=S_ and S_=S_i. Intuitively: If the given pair of people disagrees, both adopt the opinion of their other neighbor.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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