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A game-theoretical cooperative mechanism design for a two-echelon decentralized supply chain. (English) Zbl 1103.90311
Summary: The paper analyses non-cooperative behaviour in a two-echelon decentralized supply chain, composed of one supplier and \(n\) retailers. For sufficient supply from the supplier, we build the approximate decision model of their base stock level, in which the suppliers’ reactions are not considered, and its non-cooperative behaviour is obtained. For insufficient supply from the supplier, much more complicated non-cooperative behaviour is obtained, and we find that competition will occur between all the retailers as well as the supplier. In order to guarantee optimal cooperation in the system, several Nash equilibrium contracts are designed in echelon inventory games and local inventory games.

90B05 Inventory, storage, reservoirs
91A10 Noncooperative games
91A40 Other game-theoretic models
Full Text: DOI
[1] Cachon, G.P.; Zipkin, P.H., Competitive and cooperative inventory policies in a two-stage supply chain, Management science, 45, 7, 936-953, (1999) · Zbl 1231.90013
[2] Chen, F., Decentralized supply chains: subject to information delays, Management science, 45, 8, 1076-1090, (1999) · Zbl 1231.90017
[3] Chopra, S.; Meindl, P., Supply chain management: strategy, planning, and operation, (2001), Prentice Hall Englewood Cliffs, NJ
[4] Clark, A.; Scarf, H., Optimal policies for a multi-echelon inventory problem, Management science, 6, 4, 475-490, (1960)
[5] Cohen, M.; Lee, H., Strategic analysis of integrated production-distributed systems: models and methods, Operations research, 36, 2, 216-228, (1988)
[6] Corbett, C.J.; Groote, X.De., A Supplier’s optimal quantity discount policy under asymmetric information, Management science, 46, 3, 444-450, (2000) · Zbl 1231.90024
[7] Diks, E.B.; de Kok, A.G., Computational results for the control of a divergent n-echelon inventory system, International journal of production economics, 59, 3, 327-336, (1999)
[8] Fudenberg, D.; Triole, J., Game theory, (1991), MIT Press Cambridge, MA
[9] Federgreun, A.; Zipkin, P., Computational issues in an infinite horizon, multi-echelon inventory model, Operations research, 32, 818-836, (1984) · Zbl 0546.90026
[10] Gavirmeni, S.; Kapuscinski, R.; Tayur, S., Value of information in capacitated supply chains, Management science, 45, 1, 16-25, (1999) · Zbl 1231.90088
[11] Goyal, S.K.; Gupta, K.P., Integrated inventory models: the buyer – vender coordination, European journal of operational research, 41, 2, 261-269, (1989)
[12] Ishii, K.; Takahashi, K.; Muramatsu, R., Integrated production, inventory and distribution systems, International journal of production research, 26, 3, 473-482, (1988)
[13] Lee, H.; Billington, C., Material management in decentralized supply chains, Operations research, 41, 5, 835-847, (1993) · Zbl 0800.90548
[14] Lee, H.; Whang, J., Decentralized multi-echelon supply chains: incentives and information, Management science, 45, 5, 633-642, (1999) · Zbl 1231.90094
[15] Maloni, M.J.; Benton, W.C., Supply chain partnership: opportunities for operation research, European journal of operational research, 101, 3, 419-429, (1997) · Zbl 0916.90095
[16] Monahan, J.P., A quantitative discount pricing model to increase vender profits, Management science, 37, 9, 1166-1181, (1984)
[17] Myerson, R.B., Game theory: analysis of conflicts, (1990), Harvard University Press Cambridge, MA
[18] Pyke, D.F.; Cohen, M.A., Multi-product integrated production – distribution systems, European journal of operational research, 74, 1, 18-49, (1994) · Zbl 0803.90072
[19] van Houtum, G.J.; Inderfurth, K.W.; Zijm, H.M., Materials coordination in stochastic multi-echelon systems, European journal of operational research, 95, 1, 1-23, (1996) · Zbl 0955.90502
[20] Velde, L.N.J.; Meijer, B.R., A system approach to supply chain design with a multinational for colorant and coatings, (), 223-238
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