A Game Theoretical Approach to Optimize Policies of Government Under the Cartel of Two Green and Non-green Supply Chains

Document Type : Original Manuscript

Authors

1 Department of Industrial Engineering, Electronic Branch, Islamic Azad University, Tehran, Iran

2 School of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

10.22094/joie.2018.729.1467

Abstract

In this research, firms aim at maximizing two purposes of social welfare (environment) and profitability in the supply chain system. It is assumed that there are two supply chains, a green and an ordinary, each consists of a manufacturer and a supplier; in which the manufacturer generates profit through franchises. The green and the ordinary manufacturers form a cartel on the market of a certain product with the goal of increasing their mutual profits and maintaining a certain level of social welfare, while the government, as a leader, intervene financially using tax rates and incentives. We formulate the problem as a Stackelberg game model seeking the equilibrium solutions. A numerical example is presented and a sensitivity analysis is carried out. The results show that the investment’s encouraging tax rate in green technology has no impact on the optimal production of the green and ordinary manufacturers. Therefore, it is not an affective variable on the product market, but it is an important variable for the state utility function. Another highlight is that if tax rates are not equal for green and ordinary goods, then either the green or the ordinary producer will be withdrawn from the market. The most important result of this study is that if the government wants to maximize its utility function when the final product’s market is facing with a cartel and the price collusion between the green and ordinary producer, it should realize the equality between the ordinary and green tax rate and there is no difference between these two parameters of the government's decision. If the government is willing to keep the green producer in the market, the optimal and absolute tax rate of green chain is obtained by assuming zero profit of the green manufacturer.

Graphical Abstract

A Game Theoretical Approach to Optimize Policies of Government Under the Cartel of Two Green and Non-green Supply Chains

Highlights

  • Game theoric approach for government’s green supply chain policy establishment in the multiple structure market 
  • Considering Possibility of cartel formation among that green and ordinary manufacturers
  • Maximization of the profit for all actors and at the same time maintaining a certain level of social welfare function
  • Analysis of tax rate impact on encouraging use of green technology

Keywords

Main Subjects

References

Angappa, G., Subramanian, N., Shams, R. (2015) Green supply chain collaboration and incentives: Current trends and future directions. Transportation Research Part E, 74:1-10.
Chopra, S.and Meindle, P. (2007); Supply Chain Management (strategy, planning,and operations), Third Ed., Prentice Hall, Upper Saddle River, NJ, pp 44-49.
Debabrata, G., Janat, S. (2015) Supply chain analysis under green sensitive consumer demand and cost sharing contract. International Journal of Production Economics, 164: 319-329
Du, S., Ma, F., Fu, Z., Zhu, L. Zhang, J. (2015) Game-theoretic analysis for an emission-dependent supply chain in a ‘cap-and-trade’ system. Annals of Operations Research, 228(1): 135–149.
Farahani, Z. R., Asgari, N., & Davarzani, H. (2009). Supply chain andlogistics in national, international and governmental environment.Springer-Verlag Berlin Heidelberg.
Feibel, B. J. (2003). Investment Performance Measurement. Hoboken, NJ: John Wiley &SonsInc.
Hafezalkotob A.(2015) Competition of two green and regular supply chains under environmental protection and revenue seeking policies of government. Computers & Industrial Engineering 82: 103–114.
Hafezalkotob A., Hadi, T. (2015) Impact of government’s policies on competition of two closed-loop and regular supply chains. Journal of Industrial and Systems Engineering 8(4): 87-105.
Hafezalkotob A. (2017a), Competition, cooperation, and coopetition of green supply chains under regulations on energy saving levels. Transportation Research Part E 97: 228–250.
Hafezalkotob A. (2017b), Direct and indirect intervention schemas of government in the competition between green and non-green supply chains,  Journal of cleaner production, doi: 10.1016/j.jclepro.2017.09.124.
Jin, C., & Mei, L. (2012). Game  analysis of multi-strategy between government andsuppliers, Green communications and networks (pp. 185–191). New York: Springer.
Li, B., Zhu, M., Jiang, Y., Li, Z. (2016). Pricing policies of a competitive dual-channel green supply chain.Journal of Cleaner Production, 112(3): 2029-2042.
Luke, E. (2005). Firms get help in tracking EU green legislation. China Daily
Mitra, S., & Webster, S. (2008). Competition in remanufacturing and the effects of government subsidies. International Journal of Production Economics, 111(2), 287–298.
Murphy, J. (2000). Editorial: Ecological modernization. Geoforum, 31(1), 1–8.
Robeson, J. F., Copacino, W. C., & Howe, R. E. (1992). The logistics handbook. New York: Macmillan.
Sheu, J. B., & Chen, Y. C. (2012). Impact of government financial intervention on  competition  among green supply chains. International Journal of Production Economics, 138, 201–213.
Simchi-Levi, D., Kaminsky, P., Simchi-Levi, E., (2000), Designingand managing the supply chain, Boston, MA: Irwin McGraw-Hill.
Srivastava, S. K. (2007). Green supply-chain management: A state-ofthe-art literature review. International Journal of ManagementReview, 9(1), 53-80.
Sheu, J.B.(2011). Bargaining framework for competitive green supply chains under governmental financial intervention. Transportation Research Part E, 47(5): 573–592.
Tsireme, A. I., Nikolaou, E. I., Georgantzis, N., &Tsagarakis, K. P. (2012). The influence of environmental policy on the decisions of managers to adopt G-SCM practices. Clean technologies and environmental policy, 14(5), 953-964.
Zhao, R., Neighbour, G., Han, J., McGuire, M., & Deutz, P. (2012). Using game theory to describe strategy selection for environmental risk and carbon emissions reduction in the green supply chain. Journal of Loss Prevention in the Process Industries, 25, 927–936
Zhu, W., He, Y. (2017) Green product design in supply chains under competition. European Journal of Operational Research 258(1):165-180.
Zsidisin, G., Siferd, S., (2001), Environmental purchasing: Aframework for theory development, European Journal ofPurchasing and Supply Management 7(1), pp. 61.
Journal of Optimization in Industrial Engineering
Volume 12, Issue 2
July 2019
Pages 189-197

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