Production, Manufacturing, Transportation and Logistics
Analysis of a dyadic sustainable supply chain under asymmetric information

https://doi.org/10.1016/j.ejor.2020.07.042Get rights and content

Highlights

  • Designed and analyzed the four different models through simultaneous consideration of greening and corporate social responsibility among the suppliers and buyers.

  • Investigates how supply chain agents choose their sustainability efforts.

  • Provide mathematical evidence that sustainability efforts may improve firm performance.

  • Contract has designed to improve the sustainable supply chain.

Abstract

We model a sustainable supply chain with simultaneous consideration of greening and Corporate Social Responsibility by supplier and buyer and analyze it for four different decision alternatives. In the first two cases, a single supply chain agent looks after both greening and social responsibility, in the other two cases, one agent takes one of the responsibilities. We compared these four cases by considering both full information and asymmetric information about the buyer's marginal production cost. Using the supplier Stackelberg game, we obtained the optimal values of decision variables under both information scenarios. The supplier negotiates with the buyer using the wholesale price contract or the linear two-part tariff contract. The second one is the dominating choice. For this contract the value of information is also higher for all decision alternatives. We have revealed the conditions under which the supplier would be benefited by choosing the greening effort and where the buyer would be benefited by taking up social responsibility. Further, we have designed a cut-off policy and found that the supplier and buyer can trade without conflicts only at a high level of consumer sensitivity towards greening and social responsiveness. This result suggests that if sustainability is left completely on consumer pressure, then the supplier and the buyer may not incorporate sustainability in the supply chain practices. We could specify those consumer sensitivity levels under which there must be government regulations to derive sustainability.

Introduction

Sustainable supply chain management (SSCM) has recently emerged as one of the most important research topics in the operations management area (Barbosa-Póvoa, da Silva & Carvalho, 2018; Lee & Tang, 2017). Firms across the globe have realized that the adoption of sustainability can also contribute to competitive advantage, thus leading to an increase in market share (Mani et al., 2018). SSCM integrates the three different dimensions of business: economical, environmental, and social (Elkington, 1998). Firms face mounting pressure from various stakeholders to adopt sustainability in the supply chain. Therefore, companies across diverse sectors such as Apple, General Electric Caterpillar, PepsiCo, Tata Motors, Ford Motors, Nike, Walmart, Dell, and IKEA are including sustainability into the supply chain (The Guardian 2014). General Motors have enforced their suppliers to adopt green technology to reduce emissions. IKEA, Wal-Mart, and PepsiCo have made their suppliers follow green technology with a focus on corporate social responsibilities (Jayaram & Avittathur, 2015; PepsiCo, 2016). Apple Inc. is motivating their supplier—Foxconn Technology Group—to improve the health and safety conditions of workers working in the Chinese factories, while the company itself focuses on green technology (Garside, 2012). The Whole Foods Market, the world's largest retail chain of natural and organic foods, has committed to CSR and requested the suppliers to put efforts in greening (Ma, Shang & Wang, 2017). Similarly, many companies (Mahindra & Mahindra, Johnson Controls Inc, Levi Strauss & Co, De Beers, Volkswagen, and Timberland) have established a supplier code for partners to follow sustainability. Hindustan Unilever Limited has trained more than 350,000 tea growers with smallholdings in Kenya to incorporate sustainability practices (HUL, 2017).

Though, in reality, noticeable visibility of better sustainability performance is still missing from the supply chain (Barbosa-Póvoa et al. 2018; The UN Report 2013). Certain recent incidents such as the death of an employee of Foxconn and a contract manufacturer of the Apple i-pad, factory collapse and fires in Bangladesh, recall of nearly 1 million toys by Mattel in 2007 because of the use of harmful material by its supplier manufacturing toys, etc., bear evidence of the lack of visibility for enhancing sustainability in the supply chain (The New York Times 2007). To adopt sustainability across the supply chain, firms and their suppliers have to invest upfront in green technology. Recently, IKEA has allocated around €3bn “sustainability investments” for enhancing sustainability, facing strong criticism from its stakeholders for this huge investment (Gould, 2017). HUL also faced similar criticism in the recent past. Neoclassical economics argue that investment in sustainability puts a firm in an unnecessarily disadvantageous position. However, some researchers have argued that investment in sustainability increases stakeholders’ value, and in the long run, it increases the profitability of a firm (Soytas, Denizel & Durak Usar, 2019). Therefore, the fundamental question arises whether an investment in sustainability is justifiable. Some of the firms are implementing greening and CSR efforts on their own, while other firms are putting pressure on their partners to enhance greening and CSR efforts. Nevertheless, this situation creates a misalignment of objectives between the suppliers and buyers.

The contract is an important coordination mechanism, which can align sustainability objectives. However, designing a quantitative model for incorporating all the three aspects of sustainability and formulating a contract with the supply chain partners is challenging. Hence, it remains unexplored in the existing literature (Barbosa-Póvoa et al., 2018; Lee & Tang, 2017; Reefke & Sundaram, 2017). The problem is further exaggerated in the case of asymmetric information, wherein one party has better information than others. On top of this, the fundamental question is related to the reasons behind supply chain agents putting sustainability efforts as well as to understand whether consumer pressure is sufficient to motivate supply chain agents for putting sustainability efforts. The above-discussed business scenarios prompt several research questions that need to be explored. Does sustainability lead to profitability? How to develop an integrated quantitative model considering all the pillars of sustainability that comprise economic, environmental, and social aspects? Can the contract design provide an incentive for supply chain agents to put effort into sustainability? Does a simple, linear two-part contract suffice? What is the value of information for a supplier in the case of asymmetric information? What is the cut-off value for the supply chain agents? Can consumer pressure drive sustainability?

We used analytical models to obtain answers for the aforementioned questions and analyzed the dyadic sustainable supply chains under the context of full information and asymmetric information with four different decision alternatives. These four cases are: (i) supplier is putting greening and CSR efforts, the buyer is only profit maximizer; (ii) supplier puts effort in greening, while buyer puts effort in CSR; (iii) supplier puts effort in CSR, while buyer puts effort in greening; and (iv) the buyer is putting greening and CSR efforts, while the supplier is only profit maximizer. After analyzing all the four models under the context of full as well as asymmetric information, we derived the optimal values. First, we derived the results for the centralized case and then for the decentralized case, under the context of wholesale price contract and linear two-part tariff contracts. Second, we designed the cut-off policy and the value of information in case of asymmetric information and posited that the sustainability efforts of the supply chain agents enhance their profitability. We showed that the linear two-part tariff coordinates the sustainable supply chain for all the scenarios. Last, several managerial implications and interesting results were presented using numerical analysis. The paper makes four important contributions. First, we analyzed a sustainable supply chain model by combining it with the economic, environmental, and social aspects under the context of asymmetric information, which is unreported in the extant literature (Barbosa-Póvoa et al., 2018). Second, we analyzed a linear two-part tariff contract for coordination. Third, we found the range under which trade between supplier and buyer would be beneficial under the context of sustainability. Last, our results show under which circumstances is the consumer pressure alone not enough to motivate the sustainability agenda.

The remainder of this paper is organized as follows. Section 2 presents the literature review, which is followed by a model discussion in Section 3. In Section 4, the supplier and buyer optimal decisions are analyzed and the results are compared. Sections 5 and 6 analyze the cut-off policy and the value of information, respectively. Section 7 presents the numerical analysis of the optimal results and Section 8 presents some interesting managerial results. Finally, in Section 9, the study is concluded.

Section snippets

Literature review

In this section, we review the literature connected to our modeling approach. The first part focuses on SSCM. Specifically, our review considers the analytical work carried out by researchers under a game-theoretic lens. The second part of the literature review analyses the studies on the coordination of sustainable supply chain channels under the context of SSCM. The last part relates to the cut-off policy and asymmetric information research.

Model

In this section, we formulate the problem of analyzing the dynamics of the sustainable supply chain. We consider a two-echelon supply chain that consists of a supplier (S) and a buyer (B) wherein the supplier is a Stackelberg leader and the buyer is a follower. We assume that the supplier and buyer coordinate their greening and CSR effort to make the supply chain sustainable. We consider four different decision alternatives (cases) as follows: (1) The supplier is putting both greening and CSR

Discussion of the centralized and decentralized case

In this section, we discuss the centralized and decentralized cases under WP and LTT contracts in the context of full information game as well as asymmetric information. The optimal values are derived and compared to draw important managerial insights. All the pertinent calculations and proofs are given in the Appendix.

Cut-off policies

A cut-off policy indicates a threshold limit condition beyond which the supply chain agents would not prefer to participate in the trade. This concept can be understood with regard to the reservation profit level or the opportunity costs of agents. Supply chain agents participate in the trade if and only if they get profit at least equal to the reservation profit as per individual rationality constraints. From the optimal contract structure (see Table A1-A4), we noticed that the optimal values

Value of information

In this section, we discuss the value of information (VoI) from the supplier's perspective. Without changing the type of contract that has been agreed upon by the supply chain agents, the value of information indicates the probable profit that can be gained by the supplier, if the supplier has better information about the buyer's marginal cost structure. By introducing differential operator, we defined the value of information as follows: δ[πS]k[F,A]i=EC([πS]kFi[πS]kAi), where i{S(G+SR);S(G),B

Numerical analysis

In this section, we carried out a numerical analysis to get managerial insights. We used the optimal values of the supplier's and buyer's revenue. We set the parameter values for our analysis as a=150;b=0.75;cs=10;I=175;π¯S=4500;π¯B=2250; the reservation profit level of the supplier due to the greening and social effort is ΔπSG=ΔπSSR=1000; the reservation profit level of buyer due to the greening and social effort isΔπSG=ΔπSSR=500; cb is uniformly distributed on [cb̲,cb¯]= [3,9]. α[0.05,14]

Managerial analysis

Sustainability leads to higher profit only when the consumer becomes sensitive toward greening. Out of the four structures analyzed, the supplier's margin is higher when it takes up the responsibility of greening and the buyer takes the responsibility of CSR. This study provides analytical justification in the context of natural resource-based theory, specifying the lowest consumer sensitivity toward greening and CSR above which a sustainability investment provides a competitive advantage.

We

Conclusion

In this study, we considered the dyadic sustainable supply chain under the context of full and asymmetric information. We proposed the generalized WP and LTT contract to analyze the sustainable supply chain. Using the supplier Stackelberg game, we obtained the optimal values of decision variables under the full information game as well as in the asymmetric information scenario.

We provide simultaneous treatment of greening and CSR efforts under asymmetric information. Using the reservation

Acknowledgments

The authors thank the Editor, and the two anonymous reviewers for their insightful comments and constructive suggestions that substantially improved this article. The first author is extremally thankful to Prof. Rajiv K Srivastava, Prof. Samir K Srivastava, Prof. Indranil Biswas, and Prof. Amit Agrahari (all are from IIM Lucknow), and Prof. Abdul Quadir (XLRI-Xavier School of Management, Jamshedpur), Prof. Jafar Heydari, for their inputs.

References (49)

  • V. Mani et al.

    Four forces of supply chain social sustainability adoption in emerging economies

    International Journal of Production Economics

    (2018)
  • N.M. Modak et al.

    Investigating structure of a two-echelon closed-loop supply chain using social work donation as a Corporate Social Responsibility practice

    International Journal of Production Economics

    (2019)
  • D. Ni et al.

    Social responsibility allocation in two-echelon supply chains: Insights from wholesale price contracts

    European Journal of Operational Research

    (2010)
  • S. Panda

    Coordination of a socially responsible supply chain using revenue sharing contract

    Transportation Research Part E: Logistics and Transportation Review

    (2014)
  • S. Panda et al.

    Coordinating a socially responsible closed-loop supply chain with product recycling

    International Journal of Production Economics

    (2017)
  • S. Panda et al.

    Channel coordination and profit distribution in a social responsible three-layer supply chain

    International Journal of Production Economics

    (2015)
  • A. Raj et al.

    Designing supply contracts for the sustainable supply chain using game theory

    Journal of Cleaner Production

    (2018)
  • H. Reefke et al.

    Key themes and research opportunities in sustainable supply chain management–identification and evaluation

    Omega

    (2017)
  • M.A. Soytas et al.

    Addressing endogeneity in the causal relationship between sustainability and financial performance

    International Journal of Production Economics

    (2019)
  • X. Xu et al.

    Supply chain coordination with green technology under cap-and-trade regulation

    International Journal of Production Economics

    (2017)
  • R. Yan et al.

    Product returns, asymmetric information, and firm performance

    International Journal of Production Economics

    (2017)
  • H. Yang et al.

    Retailer-driven carbon emission abatement with consumer environmental awareness and carbon tax: Revenue-sharing versus cost-sharing

    Omega

    (2018)
  • A. Yenipazarli

    To collaborate or not to collaborate: Prompting upstream eco-efficient innovation in a supply chain

    European Journal of Operational Research

    (2017)
  • W. Zhu et al.

    Green product design in supply chains under competition

    European Journal of Operational Research

    (2017)
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