Abstract

To cooperate or not is one of the most challenging issues of supply chain management era. If the supply chain is managed optimally, the entire profitability increases. Meanwhile, corporate Social Responsibility (hereafter CSR) is defined as the social and ethical behavior of supply chain members against stakeholders such as shareholders, final customers, employees and executives. Moreover, the observance of the social responsibility obligations is of great importance for consumers and shareholders of companies. The decisions of the supply chain’s members play a direct role in determining the profits of each. These decisions are in conflict with other members in a competitive environment. In this paper, the contradictory variables encompasses the cost resulting from the performance of corporate social responsibility, inventory, shortage, advertising and pricing in a two-level supply chain, consisting a manufacturer and a retailer. After identifying the quantitative variables for measuring the social responsibility using Delphi-Fuzzy methods and Interpretive Structural Modeling, the most important and influential variable of measuring the social responsibility performance (forced labor ratio) has been selected. Subsequently, after modeling the profit function of each player, optimal results were emanated according to the bargaining power of each member and based on Nash and Stackelberg games. Afterwards, with numerical examples, the optimization and sensitivity analysis of social responsibility in each model has been discussed. The results indicate that the profit of manufacturer and retailer reduces by increasing the proportion of forced labor. Based upon Nash equilibrium, the manufacturer’s profit decreases with a slight slope; nonetheless, on retailer and manufacturer leadership models, the profit decreases with a slight increase of the forced labor.

Highlights

  • Chain ( SC) sustainability has three dimensions: economic, social and environmental

  • The results indicate that the profit of manufacturer and retailer reduces by increasing the proportion of forced labor

  • corporate social responsibility (CSR) leads to the creation of communication among stakeholders and it can be achieved by meeting the basic needs of stakeholders, employees, managers, customers, manufactures and suppliers (Maignan & Ferrell, 2004)

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Summary

Introduction

Chain ( SC) sustainability has three dimensions: economic, social and environmental. The observance of the social responsibility obligations is very important for consumers and shareholders of companies (Ashby, Leat, & Hudson-Smith, 2012). There is a need for a coordination mechanism to create an overall optimal solution and minimize its contradiction with the interests of the members. Coordination models have mechanisms to motivate all members to pursue the overall optimal decisions and resolve the chain members’ conflict. Considering the importance of coordination and conflict solution in the SC with regard to the social responsibility, this research has been designed to model and optimize the consequences of retailers and manufactures in complete information conditions. Afterwards, Based upon game theoretic approach and considered two echelon supply chain, Nash and Stackelberg equilibriums were calculated to optimize supply chain overall profit. The numerical example and the sensitivity analysis of social responsibility is discussed

Basic concepts and research background
Research assumptions
Research methodology
Region 1
Notations
Retailers Payoff Function
Manufacturer Payoff Function
Best responses of players
Retailer’s leadership
Manufacturer leadership
Numerical example
Findings
Conclusions

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