# Research on Tacit Knowledge Dissemination of Automobile Consumers’ Low-Carbon Purchase Intention

^{1}

^{2}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Literature Review

#### 2.1. Research on the Development of New Energy Vehicles

#### 2.2. Research on the Tacit Knowledge Dissemination Model

#### 2.3. Research on Consumers’ Low-Carbon Inclination

#### 2.4. Study on the Process of Knowledge Transmission in Groups

## 3. Basic Assumptions and Model Construction

#### 3.1. Differential Dynamical System

_{t}(x) at time t in accordance with this law. Generally, the evolution law should meet the following three conditions:

_{t}(x) is a continuous function of t and x.

_{t}(x) is a constant differentiable to t: d

_{φt(x)}/d

_{t}= s(φ

_{1}(x)), then the dynamical system is said to be produced by ordinary differential equations d

_{x}/d

_{t}= s(x) or a constant microsystem S. The main characteristic of the differential dynamical system is the whole disturbance problem, especially in the structural stability.

^{1}on Mn. If the perturbation of C

^{1}does not change the topological structure of the phase diagram, that is, if S has a neighborhood γ in X(M

^{n}), then S is considered structurally stable, as long as X ∈ γ has the topological transformation M

^{n}→M

^{n}mapping the orbital of S to the orbital of X.

^{2}) composed of structurally stable systems. The characteristic theorem he proved shows that systems in X(M

^{2}) are structurally stable if and only if their non-stray set consists of only a finite number of hyperbolic singularities and hyperbolic periodic orbits, and there is no saddle point connection, that is, orbits without hyper-constant points approach saddle points in both positive and negative directions.

#### 3.2. Basic Assumptions

_{1}transmission rate, and the fuel vehicle group affects the demanders at the α

_{2}transmission rate.

_{1}probability, and the conservative communicators are transformed into quitters with θ

_{2}probability.

#### 3.3. Model Specification

## 4. Analysis on the Stability of Tacit Knowledge Dissemination

#### 4.1. Uniformly Stable Equilibrium Point

_{1}, and the propagation rate of conservative purchase inclination α

_{2}.

_{2}, the conversion rate of conservative purchase inclination communicator φ, the abandonment rate of low-carbon communicator θ

_{1}, and the abandonment rate of conservative communicator θ

_{2}.

_{1}, the transmission rate of conservative purchase inclination α

_{2}, the conversion rate of conservative purchase inclination spreaders φ, and the abandonment rate of conservative spreaders θ

_{2}.

#### 4.2. Analysis of Parameter Controls of Tacit Knowledge Dissemination of Low-Carbon Purchase Inclination

**Proposition**

**1.**

**Proposition**

**2.**

**Proposition**

**3.**

_{1}.

_{1}of communicators with low-carbon purchase inclination. When other parameters are fixed, the proportion of low-carbon purchase inclination communicators is related to the abandonment rate of low-carbon purchase inclination communicators, and with the increase in the abandonment rate of low-carbon purchase inclination communicators, the proportion of low-carbon purchase inclination communicators gradually decreases, that is to say, the two are negatively correlated.

**Proposition**

**4.**

_{2}of communicators with conservative purchase inclination.

_{2}of communicators with conservative purchase inclination, through the expression $\frac{\partial I(\infty )}{\partial {\theta}_{2}}=\frac{-{\alpha}_{2}\delta \phi}{(\phi +{\theta}_{2}){({\alpha}_{1}+{\alpha}_{2})}^{2}}<0$. When other parameters are fixed, the proportion of low-carbon purchase inclination communicators is related to the abandonment rate of conservative purchase inclination communicators, and with the increase in the abandonment rate of conservative purchase inclination communicators, the proportion of low-carbon purchase inclination communicators gradually decreases, that is to say, the two are negatively correlated.

**Proposition**

**5.**

_{1}.

_{1}of low carbon purchase inclination through the expression $\frac{\partial I(\infty )}{\partial {\alpha}_{1}}=\frac{{\alpha}_{2}\delta {\theta}_{2}}{(\phi +{\theta}_{2}){\theta}_{1}{({\alpha}_{1}+{\alpha}_{2})}^{2}}>0$. When other parameters are fixed, the proportion of low-carbon purchase inclination communicators is related to the communication rate of low-carbon purchase inclination communicators, and with the increase in the communication rate of low-carbon purchase inclination communicators, the proportion of low-carbon purchase inclination communicators increases, that is to say, the two are positively correlated.

**Proposition**

**6.**

_{2}.

_{2}through the expression $\frac{\partial I(\infty )}{\partial {\alpha}_{2}}=\frac{-{\alpha}_{1}\delta {\theta}_{2}}{(\phi +{\theta}_{2}){\theta}_{1}{({\alpha}_{1}+{\alpha}_{2})}^{2}}<0$. When other parameters are fixed, the proportion of low-carbon purchase inclination communicators is related to the communication rate of conservative purchase inclination communicators, and with the increase in the communication rate of conservative purchase inclination communicators, the proportion of low-carbon purchase inclination communicators gradually decreases, that is to say, the two are negatively correlated.

## 5. Numerical Simulation Analysis

#### 5.1. Analysis of the Evolution of Four States of Low-Carbon Purchase Inclination

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015, α

_{1}= 0.3, α

_{2}= 0.1. The evolution of the proportions of the four groups in the system over time is shown as Figure 2.

_{1}= 0.3 is higher than that of conservative purchase inclination α

_{2}= 0.1. The promotion of the transmission rate of low-carbon purchase inclination depends on the enhancement of people’s awareness of environmental protection in recent years and their recognition of the superiority of new energy vehicles. In addition, consumers who have bought fuel cars change their purchase inclination to buy and use new energy vehicles. These factors inevitably lead to a rapid increase in the number of people willing to buy low-carbon goods in the initial stage. When the proportion reaches a certain level, some people become abandoners, but eventually the system reaches stability in a certain state.

#### 5.2. Analysis of the Evolution of the Proportion of Purchasing Inclination Communicators

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015, and other parameter changes are shown as Table 1.

_{1}increases from 0.3 to 0.65, the peak time changes from t = 5 to t = 2.5. It indicates that the number of people with low-carbon purchase inclination increases rapidly at this time, while the proportion of conservative purchase inclination decreases significantly at the beginning. It shows that the communicators of conservative inclination are sensitive to the value of α

_{1}transmission rate. The whole system is dominated by the transmission of low-carbon purchase inclination, and the influence of conservative purchase inclination is relatively weak. When only the increase in the propagation rate of conservative purchase inclination is considered, there is no significant change in the trend that the proportion of communicators with low-carbon purchase inclination reaches the peak and the trend that they are in a stable state. However, the location of the peak value is obviously downward-offset, indicating that the increase in the propagation rate of conservative purchase inclination attracts the purchase inclination of demanders, thus greatly reducing the possibility of choosing to buy new energy vehicles. In the experiment, the initial state value of communicators with conservative purchase inclination increased and reached α

_{2}= 0.15. As the number of people with low-carbon purchase inclination increases, and those with conservative purchase inclination are influenced by the low-carbon consciousness of the government and surrounding people, they change their purchase inclination. Some of them give up their conservative purchase inclination and become abandoners, and some directly join the ranks of disseminators of low-carbon purchase inclination. As a result, the population with conservative buying inclination eventually stabilizes at a low level.

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015, α

_{1}= 0.3, α

_{2}= 0.1, and other parameter changes are shown as Table 2.

_{1}= 0.3, α

_{2}= 0.1, δ = 0.015. The parameters of thr abandonment rate of low-carbon purchase inclination and conservative purchase inclination are shown in Table 3.

## 6. Empirical Research

#### 6.1. The Questionnaire

#### 6.2. Analysis of Survey Results

#### 6.2.1. Demographic Characteristics of Respondents

#### 6.2.2. The Channel Statistics on the Interviewees’ Understanding of New Energy Vehicles

#### 6.2.3. Price Preference

#### 6.2.4. Performance Preferences

## 7. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 2.**Evolution diagram of four states in the system (φ = 0.2, c = 0.5, θ

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015, α

_{1}= 0.3, α

_{2}= 0.1).

**Figure 3.**Evolution diagram of two Purchase inclinations with different transmission rates (φ = 0.2, c = 0.5, θ

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015).

**Figure 4.**The state evolution diagram of the two purchase inclinations at different conversion rates (c = 0.5, θ

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015, α

_{1}= 0.3, α

_{2}= 0.1).

**Figure 5.**The evolution diagram of two purchase inclinations with different abandonment rates (φ = 0.4, c = 0.5, α

_{1}= 0.3, α

_{2}= 0.1, δ = 0.015).

**Table 1.**Description of Transmission Rate Changes (1) (φ = 0.2, c = 0.5, θ

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015).

Experiment | Low-Carbon Transmission Rate α_{1} | Conservative Transmission Rate α_{2} | Description |
---|---|---|---|

Original Parameters | 0.3 | 0.1 | Initial Parameter Setting |

Comparison1 | 0.65 | 0.1 | Increase low-carbon transmission rates |

Comparison2 | 0.3 | 0.15 | Increase conservative transmission rate |

Comparison3 | 0.65 | 0.15 | Low-carbon and conservative transmission rates increase simultaneously |

**Table 2.**Description of transformation rate change (2) (c = 0.5, θ

_{1}= 0.22, θ

_{2}= 0.4, δ = 0.015, α

_{1}= 0.3, α

_{2}= 0.1).

Experiment | Conversion Rate φ | Description |
---|---|---|

Original parameters | 0.4 | Initial Parameter Setting |

Comparison1 | 0.9 | Increased conversion rate |

Comparison2 | 0.1 | Reduced conversion rate |

**Table 3.**Description of Abandonment Rate Change (φ = 0.4, c = 0.5, α

_{1}= 0.3, α

_{2}= 0.1, δ = 0.015).

Experiment | Low-Carbon Abandonment Rate θ_{1} | Conservative Abandonment Rate θ_{2} | Description |
---|---|---|---|

Original Parameters | 0.22 | 0.4 | Initial Parameter Setting |

Comparison1 | 0.25 | 0.4 | Increase the low-carbon abandonment rate |

Comparison2 | 0.22 | 0.7 | Increase conservative abandonment rate |

Comparison3 | 0.25 | 0.7 | Low-carbon and conservative abandonment rate increase simultaneously |

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**MDPI and ACS Style**

Xu, N.; Xu, Y.
Research on Tacit Knowledge Dissemination of Automobile Consumers’ Low-Carbon Purchase Intention. *Sustainability* **2022**, *14*, 10097.
https://doi.org/10.3390/su141610097

**AMA Style**

Xu N, Xu Y.
Research on Tacit Knowledge Dissemination of Automobile Consumers’ Low-Carbon Purchase Intention. *Sustainability*. 2022; 14(16):10097.
https://doi.org/10.3390/su141610097

**Chicago/Turabian Style**

Xu, Nan, and Yaoqun Xu.
2022. "Research on Tacit Knowledge Dissemination of Automobile Consumers’ Low-Carbon Purchase Intention" *Sustainability* 14, no. 16: 10097.
https://doi.org/10.3390/su141610097