# Differential Game Model of Information Sharing among Supply Chain Finance Based on Blockchain Technology

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## Abstract

**:**

## 1. Introduction

## 2. Supply Chain Financing Model Based on Blockchain Technology

## 3. A Differential Game Model of Information Sharing Behavior

#### 3.1. Parameter Description

#### 3.2. The Revenues Model of Supply Chain Members

#### 3.3. Different Decision-Making Situations of Traditional Supply-Chain Finance Members

#### 3.3.1. Independent Decision-Making of Supply-Chain Finance Members

**Theorem**

**1.**

**Proof.**

**Corollary**

**1.**

#### 3.3.2. Stackelberg Game Under Financial Institutions and Distributors Information Sharing Cost Subsidies

**Theorem**

**2.**

**Proof.**

**Corollary**

**2.**

#### 3.3.3. The Collaborative Decision-Making Situation of All Participants in Supply-Chain Finance

**Theorem**

**3.**

**Proof.**

**Corollary**

**3.**

#### 3.4. Different Decision-Making Scenarios of Blockchain-Based Supply-Chain Finance System Participants

**Theorem**

**4.**

**Corollary**

**4.**

**Theorem**

**5.**

**Corollary**

**5.**

**Theorem**

**6.**

**Corollary**

**6.**

#### 3.5. Comparison

**Corollary**

**7.**

**Corollary**

**8.**

**Corollary**

**9.**

**Corollary**

**10.**

## 4. Numerical Simulation and Sensitivity Analysis

#### 4.1. Comparison of Information Sharing between Traditional and Blockchain-Based Supply Chain Finance

#### 4.2. Optimal Information Sharing Amount and Instantaneous Revenues Analysis

#### 4.3. Numerical Simulation and Sensitivity Analysis

## 5. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 2.**Comparison of the amount of information sharing between traditional and blockchain-based supply-chain finance systems under independent decision-making.

**Figure 3.**Comparison of the amount of information sharing in traditional and blockchain-based supply-chain finance systems under the subsidy policy.

**Figure 4.**Comparison of the amount of information sharing between traditional and blockchain-based supply-chain finance systems under collaborative cooperation.

**Figure 10.**Variation of the amount of information sharing as the information discount rate stabilizes.

Symbol | Description |
---|---|

$x\left(t\right)$ | The amount of information shared by the blockchain at time $t$ |

${e}_{i}\left(t\right)$ | The amount of information shared by enterprise $i$ at time $t\left(i=S,R,F\right)$ |

$\alpha $ | The influence coefficient of information shared by suppliers |

$\beta $ | The influence coefficient of information shared by distributors |

$\gamma $ | The influence coefficient of information shared by financial institutions |

$\rho $ | The discount rate of the stored information of blockchain when the information shared by suppliers, distributors, and financial institutions at time $t$ is $0$ |

$A$ | The basic revenues of suppliers (SMEs) |

$B$ | The basic revenues of distributors(core enterprises) |

$C$ | The basic revenues of financial institutions |

${d}_{i}$ | The coefficient of the cost required by enterprise $i$ to share information $\left(i=S,R,F\right)$ |

${k}_{i}$ | The coefficient of cost of maintaining the blockchain for enterprise $i$ $\left(i=S,R,F\right)$ |

${\eta}_{i}$ | The revenue that each unit of information shared by blockchain brings to the enterprise $i$ $\left(i=S,R,F\right)$ |

${\theta}_{1}$ | The subsidy coefficient of core enterprises for the cost of sharing information by SMEs |

${\theta}_{2}$ | The subsidy coefficient of financial institutions for the cost of sharing information by SMEs |

$\delta $ | Discount rate |

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**MDPI and ACS Style**

Xu, M.; Ma, S.; Wang, G.
Differential Game Model of Information Sharing among Supply Chain Finance Based on Blockchain Technology. *Sustainability* **2022**, *14*, 7139.
https://doi.org/10.3390/su14127139

**AMA Style**

Xu M, Ma S, Wang G.
Differential Game Model of Information Sharing among Supply Chain Finance Based on Blockchain Technology. *Sustainability*. 2022; 14(12):7139.
https://doi.org/10.3390/su14127139

**Chicago/Turabian Style**

Xu, Minyi, Shujian Ma, and Gang Wang.
2022. "Differential Game Model of Information Sharing among Supply Chain Finance Based on Blockchain Technology" *Sustainability* 14, no. 12: 7139.
https://doi.org/10.3390/su14127139