# Evolution of Conformity Dynamics in Complex Social Networks

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^{2}

^{3}

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## Abstract

**:**

## 1. Introduction

## 2. Conformity in Ring Networks

**Assumption**

**1.**

**Assumption**

**2.**

**Assumption**

**3.**

**Assumption**

**4.**

**Assumption**

**5.**

**Proposition**

**1.**

**Proof.**

**Proposition**

**2.**

**Proof.**

**Proposition**

**3.**

**Proof.**

## 3. Analysis of Conformity in Complex Networks

**Proposition**

**4.**

**Proof.**

**(1) Evolution of herding behavior under different network structure types and network size.**

**(2) Evolution of conformity behavior in small-world networks with different network densities and network scales.**

**(3) The influence of different initial distributions on the evolution of herd behavior.**

**(4) The evolution of Conformity behavior on Facebook social network.**

## 4. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 4.**$Q\left(n,\epsilon \right)$ function decreases as $n$ increases. $Q\left(n,\epsilon \right)$ with higher $\epsilon $ converges more quickly to 0.

**Figure 5.**$P\left(n,\epsilon \right)$ function decreases as $n$ increases. $P\left(n,\epsilon \right)$ with higher $\epsilon $ converges more quickly to 0.

**Figure 6.**Evolution of market share with effect of conformity on networks having different structures and sizes.

**Figure 7.**Evolution of market share with effect of conformity on small-world networks having different average degrees and sizes.

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**MDPI and ACS Style**

Gong, Y.; Yu, Q.
Evolution of Conformity Dynamics in Complex Social Networks. *Symmetry* **2019**, *11*, 299.
https://doi.org/10.3390/sym11030299

**AMA Style**

Gong Y, Yu Q.
Evolution of Conformity Dynamics in Complex Social Networks. *Symmetry*. 2019; 11(3):299.
https://doi.org/10.3390/sym11030299

**Chicago/Turabian Style**

Gong, Yuhui, and Qian Yu.
2019. "Evolution of Conformity Dynamics in Complex Social Networks" *Symmetry* 11, no. 3: 299.
https://doi.org/10.3390/sym11030299