The state of the art in static and dynamic games

European Business Review

Volumn 21, Issue 6, 2009, Pages 547-566

  de Giovanni, Pietro ^a  

^a ESSEC BUSINESS SCHOOL   (France)

Author keywords

Channel relationships Paper type General review; Competitive strategy; Supply chain management

Indexed keywords

EID: 70350325446     PISSN: 0955534X     EISSN: None     Source Type: Journal    
DOI: 10.1108/09555340910998832     Document Type: Article

References (112)

1. Abad, P.L. (1996), Optimal pricing and lot-sizing under conditions of perishability and partial backordering, Management Science, Vol. 42 No. 8, pp. 1093-104.
2. Amaladoss, W., Meyer, R.J., Raju, J.S. and Rapoport, A. (2000), Collaborating to compete, Management Science, Vol. 19 No. 2, pp. 105-26.
3. Amrouche, N. and Zaccour, G. (2007), Shelf-space allocation of national and private brands, European Journal of Operational Research, Vol. 180 No. 2, pp. 648-63.
4. Anupindi, R. and Bassok, Y. (1999), Centralization of stocks: retailer vs manufacturer, Management Science, Vol. 45 No. 2, pp. 178-91.
5. Anupindi, R., Bassok, Y. and Zemel, E. (2001), A general framework for the study of decentralized distribution systems, Manufacturing and Service Operations Management, Vol. 3 No. 4, pp. 349-68.
6. Aviv, Y. (2001), The effect of collaborative forecasting on supply chain performance, Management Science, Vol. 47 No. 10, pp. 1326-43.
7. Aviv, Y. (2003), On the benefits of collaborative forecasting partnerships between retailers and manufacturers, Management Science, Vol. 53 No. 5, pp. 777-94.
8. Axsater, S. (1993), Exact and approximate evaluation of batch-ordering policies for two-level inventory systems, Operations Research, Vol. 41 No. 4, pp. 777-85.
9. Ballau, R.H. (2007), The evolution and future of logistics and supply chain management, European Business Review, Vol. 19 No. 4, pp. 332-48.
10. Bass, F.M., Krishnamoorthy, A., Prasad, A. and Sethi, S.P. (2004), Generic and brand advertising strategies in a dynamic duopoly, Marketing Science, Vol. 24 No. 4, pp. 556-68.
11. Bernstein, F. and Federgruen, A. (2003), Pricing and replenishment strategies in a distribution system with competing retailers, Operation Research, Vol. 51 No. 3, pp. 409-26.
12. Bernstein, F. and Federgruen, A. (2004), Comparative statics, strategic complements and substitutes in oligopolies, Journal of Mathematical Economics, Vol. 40 No. 6, pp. 713-46
13. Bernstein, F., Chen, F. and Federgruen, A. (1999), Channel coordination in a supply chain with general competing retailers, working paper, Fuqua School of Business, Duke University, Durham, NC.
14. Boyaci, T. and Gallego, G. (2004), Supply chain coordination in a market with customer service competition, Production and Operations Management, Vol. 13 No. 1, pp. 3-22.
15. Breton, M., Sokri, A. and Zaccour, G. (2008), Incentive equilibrium in an overlapping-generations environmental game, European Journal of Operational Research, Vol. 185 No. 2, pp. 687-99.
16. Breton, M., Zaccour, G. and Zahaf, M. (2005), A differential game of joint implementation of environmental projects, Automatica, Vol. 41 No. 10, pp. 1737-49.
17. Breton, M., Zaccour, G. and Zahaf, M. (2006), A game-theoretic formulation of joint implementation of environmental project, European Journal of Operational Research, Vol. 168 No. 1, pp. 221-39.
18. Cachon, G.P. (1999), Managing supply chain demand variability with scheduled ordering policies, Management Science, Vol. 45 No. 6, pp. 843-56.
19. Cachon, G.P. (2001), Stock wars: inventory competition in a two-echelon supply chain with multiple retailers, Operations Research, Vol. 49 No. 5, pp. 658-74.
20. Cachon, G.P. (2003), Supply chain coordination with contracts, in Graves, S. and de Kok, T. (Eds), Handbooks in Operations Research and Management Science: Supply Chain Management, North-Holland, Amsterdam.
21. Cachon, G.P. and Fisher, M. (2000), Supply chain inventory management and the value of shared information, Management Science, Vol. 46 No. 8, pp. 1032-48.
22. Cachon, G.P. and Harker, P.T. (2002), Competition and outsourcing with scale economies, Management Science, Vol. 48 No. 10, pp. 1314-33.
23. Cachon, G.P. and Lariviere, M.A. (2005), Supply chain coordination with revenues sharing contracts: strength and limitations, Management Science, Vol. 51 No. 1, pp. 30-44.
24. Cachon, G.P. and Netessine, S. (2004), Game theory in supply chain analysis, in Simchi-Levi, D., Wu, S.D. and Zuo-Jun, S. (Eds), Handbook of Quantitative Supply Chain Analysis: Modeling in the eBusiness Era, Kluwer Academic, London, pp. 13-59.
25. Cachon, G.P. and Zipkin, P.H. (1999), Competitive and cooperative inventory policies in a two-stage supply chain, Management Science, Vol. 45 No. 7, pp. 936-53.
26. Chand, S., Maskowitz, H., Novak, A., Rekhi, I. and Sorger, G. (1996),Capacity allocation for dynamic process improvement with quality and demand considerations, Operations Research, Vol. 44 No. 6, pp. 964-75.
27. Chintagunta, P. and Jain, D. (1994), A study of manufacturer-retailer marketing strategy: a differential game approach, in Hamalainen, R.P. and Ehtamo, H.K. (Eds), Dynamic Games in Economics, Lecture Notes in Control and Information Sciences, Vol. 157, Springer, London, pp. 257-64.
28. Chintagunta, P.K. and Jain, D. (1992), A dynamic model of channel member strategies for marketing expenditures, Marketing Science, Vol. 11 No. 2, pp. 168-87.
29. Chintagunta, P.K. and Rao, V.R. (1996), Pricing strategies in a dynamic duopoly: a differential game model, Management Science, Vol. 42 No. 11, pp. 1501-14.
30. Chintagunta, P.K. and Vilcassim, N.J. (1992), An empirical investigation of advertising strategies in a dynamic duopoly, Management Science, Vol. 38 No. 9, pp. 1230-44.
31. Clemhout, S. and Wan, H.Y. Jr (1974), A class of trilinear differential games, Journal of Optimization Theory and Applications, Vol. 14 No. 4, pp. 419-24.
32. Corbett, C.J. (2001),Stochastic inventory system in a supply chain with asymmetric information: cycle stocks, safety stocks, and consignment stock, Operational Research, Vol. 49 No. 4, pp. 487-500.
33. Corbett, C.J. and DeCroix, G.A. (2001),Shared-savings contract for indirect materials in supply chains: channel profits and environmental impacts, Management Science, Vol. 47 No. 7, pp. 881-93.
34. Corbett, C.J. and de Groote, X. (2000), A supplier's optimal quantity discount policy under asymmetric information, Management Science, Vol. 46 No. 3, pp. 444-50.
35. Corbett, C.J. and Karmarkar, U.S. (2001), Competition and structure in serial supply chains with deterministic demand, Management Science, Vol. 47 No. 7, pp. 966-78.
36. Corbett, C.J., Zhou, D. and Tang, C.S. (2004), Designing supply contracts: contract type and information asymmetry, Management Science, Vol. 50 No. 4, pp. 550-9.
37. Dada, M. and Srikanth, K.N. (1987), Pricing policies for quantity discount, Management Science, Vol. 33 No. 10, pp. 1247-52.
38. Dana, J.D. Jr and Spier, K.E. (2001), Revenue sharing and vertical control in the video rental industry, The Journal of Industrial Economics, Vol. 49 No. 3, pp. 223-45.
39. Deal, K. (1979), Optimizing advertising expenditure in a dynamic duopoly, Operations Research, Vol. 27 No. 4, pp. 682-92.
40. De Giovanni, P. (2007), A comparison between static and dynamic solutions of a theoretical game of SCM, paper presented at INFORMS Conference, Seattle WA, November, available at: www.ssrn.com
41. Desay, V.S. (1992), Marketing-production decisions under independent and integrated channel structure, Annals of Operation Research, Vol. 34 No. 1, pp. 275-306.
42. Desay, V.S. (1996), Interactions between members of a marketing-production channel under seasonal demand, European Journal of Operational Research, Vol. 90 No. 1, pp. 115-41.
43. Dockner, E.J. and Feichtinger, G. (1986), Dynamic advertising and pricing in an oligopoly: a Nash equilibrium approach, in Basar, T. (Ed.), Dynamic Games and Applications in Economics, Springer, Berlin, pp. 238-51.
44. Dockner, E.J. and Gaunersdorfer, A. (2002), Dynamic oligopolistic competition and quasi-competitive behaviour, in Zaccour, G. (Ed.), Optimal Control and Differential Games. Essays in Honour of Steffen Jørgensen, Kluwer Academic, Boston, MA, pp. 107-20.
45. Dockner, E.J., Feichtinger, G. and Jørgensen, S. (1985), Tractable classes of nonzero-sum open-loop Nash differential games. Theory and examples, Journal of Optimization Theory and Applications, Vol. 45 No. 2, pp. 179-97.
46. Dong, L. and Rudi, N. (2004), Who benefits form transshipment? Exogenous vs endogenous wholesale prices, Management Science, Vol. 50 No. 5, pp. 645-57.
47. El Ouardighi, F. and Pasin, F. (2006), Quality improvement and goodwill accumulation in a dynamic duopoly, European Journal of Operational Research, Vol. 175 No. 2, pp. 1021-32.
48. El Ouardighi, F., Jørgensen, S. and Pasin, F. (2008), A dynamic game of operations and marketing management in a supply chain, International Journal of Game Theory Review, Vol. 10 No. 2, pp. 1-20.
49. Erickson, G.M. (1992), Empirical analysis of closed-loop duopoly advertising strategies, Management Science, Vol. 38 No. 11, pp. 1732-49.
50. Erickson, G.M. (1994), Differential game models of advertising competition, European Journal of Operational Research, Vol. 83 No. 33, pp. 431-8.
51. Feichtinger, G. (1982), Saddle point analysis in a price-advertising model, Journal of Economic Dynamics and Control, Vol. 4 No. 1, pp. 319-40.
52. Fruchter, G.E. and Kalish, S. (1997), Closed-loop advertising strategies in a duopoly, Management Science, Vol. 43 No. 1, pp. 54-63.
53. Granot, D. and Sošić, G. (2003), A three-stage model for a decentralized distribution system of retailers, Operations Research, Vol. 51 No. 5, pp. 771-84.
54. Haurie, A., Moresino, F. and Viguier, L. (2006), A two-level differential game of international emissions trading, in Haurie, A., Muto, S., Petrosjan, L.A. and Raghavan, T.E.S. (Eds), Advances in Dynamic Games. Applications to Economics, Management Science, Engineering, and Environmental Management, Birkhauser, Berlin, pp. 293-308.
55. Hauser, J.R. (1988), Competitive price and positioning strategies, Marketing Science, Vol. 7 No. 1, pp. 76-91.
56. Hoesky, D. (1977), An empirical analysis of the optimal advertising policy, Management Science, Vol. 23 No. 10, pp. 1037-49.
57. Iyer, I.M. and Bergen, M.E. (1997), Quick response in manufacturing retailer channels, Management Science, Vol. 7 No. 1, pp. 559-70.
58. Jeuland, A.P. and Shugan, S.M. (1988), Channel of distribution profits when channel members form conjectures, Marketing Science, Vol. 7 No. 2, pp. 202-10.
59. Jørgensen, S. (1982), A survey of some differential games in advertising, Journal of Economic Dynamics and Control, Vol. 4 No. 1, pp. 341-69.
60. Jørgensen, S. (1983),Optimal control of a diffusion model of new product acceptance with price dependent total market potential, Optimal Control Applications and Methods, Vol. 4 No. 3, pp. 269-76.
61. Jørgensen, S. (1986), Optimal production, purchasing and pricing: a differential game approach, European Journal of Operational Research, Vol. 24 No. 1, pp. 64-76.
62. Jørgensen, S. and Kort, P.M. (2002),Optimal pricing and inventory policy: centralized and decentralized decision making, European Journal of Operational Research, Vol. 138 No. 3, pp. 578-600.
63. Jørgensen, S. and Zaccour, G. (1999), Price subsidies and guaranteed buys of a new technology, European Journal of Operational Research, Vol. 114 No. 2, pp. 338-45.
64. Jørgensen, S. and Zaccour, G. (2003a), A differential game of retailer promotions, Automatica, Vol. 39 No. 7, pp. 1145-55.
65. Jørgensen, S. and Zaccour, G. (2003b), Channel coordination over time: incentive equilibria and credibility, Journal of Economic Dynamics and Control, Vol. 27 No. 5, pp. 801-22.
66. Jørgensen, S., Kort, P.M. and Zaccour, G. (1999),Production, inventory, and pricing under cost and demand learning effects, European Journal of Operational Research, Vol. 117 No. 2, pp. 382-95.
67. Jørgensen, S., Siguè, S.P. and Zaccour, G. (2000), Dynamic cooperative advertising in a channel, Journal of Retailing, Vol. 76 No. 1, pp. 71-92.
68. Jørgensen, S., Siguè, S.P. and Zaccour, G. (2001), Stackelberg leadership in a marketing channel, International Game Theory Review, Vol. 3 No. 1, pp. 13-26.
69. Jørgensen, S., Taboubi, S. and Zaccour, G. (2003), Retail promotions with negative brand image effects: is cooperation possible?, European Journal of Operational Research, Vol. 150 No. 2, pp. 395-405.
70. Kim, B. (1999), Dynamic effects of learning capabilities and profit structures on the innovation competition, Optimal Control Applications and Methods, Vol. 20 No. 3, pp. 127-44.
71. Kim, B. (2003a), Coordinating an innovation in supply chain management, European Journal of Operational Research, Vol. 3 No. 16, pp. 568-84.
72. Kim, B. (2003b), Dynamic outsourcing to contract manufacturers with different capabilities of reducing the supply cost, International Journal of Production Economics, Vol. 86 No. 1, pp. 63-80.
73. Kogan, K. and Tapiero, C. (2007), Supply Chain Games: Operations Management and Risk Evaluation, Springer Series in Operation Research, Springer, New York, NY.
74. Kort, P.M., Caulkins, J.P., Hartl, R.F. and Fiechtinger, G. (2000), Brand image and brand dilution in the fashion industry, Automatica, Vol. 42 No. 8, pp. 1363-70.
75. Lal, R. and Staelin, R. (1984), An approach for developing an optimal discount pricing policy, Management Science, Vol. 30 No. 12, pp. 1524-39.
76. Lariviere, M.A. and Porteus, E.L. (2001), Selling to the newsvendor: an analysis of price-only contracts, Manufacturing and Service Operations Management, Vol. 3 No. 4, pp. 293-305.
77. Lederer, P.J. and Li, L. (1997), Pricing, production, scheduling, and delivery-time competition, Operations Research, Vol. 45 No. 3, pp. 407-20.
78. Lee, H.L., Padmanabhan, V. and Whang, S.W. (2004), Information distortion in a supply chain: the bullwhip effect, Management Science, Vol. 50 No. 12, pp. 1875-86.
79. Li, G. and Rajagopalan, S. (1998), Process improvement, quality, and learning effects, Management Science, Vol. 44 No. 11, pp. 1517-32.
80. Li, L. and Lee, Y.S. (1994), Pricing and delivery-time performance in a competitive environment, Management Science, Vol. 40 No. 5, pp. 633-46.
81. Lippman, S.A. and McCardle, K.F. (1997), The competitive newsboy, Operations Research, Vol. 45 No. 1, pp. 54-65.
82. McGuire, T.W. and Staelin, R. (1983), An industry equilibrium analysis of down vertical integration, Marketing Science, Vol. 2 No. 2, pp. 161-91.
83. Majumder, P. and Groenevelt, H. (2001), Competition in remanufacturing, Production and Operations Management, Vol. 10 No. 2, pp. 125-41.
84. Martín-Herrán, G., Cartigny, P., Motte, E. and Tidball, M. (2006), Deforestation and foreign transferts: a Stackelberg differential game approach, Computers & Operations Research, Vol. 33 No. 2, pp. 386-400.
85. Monahan, J.P. (1984), A quantity discount pricing model to increase vendor profit, Management Science, Vol. 30 No. 6, pp. 720-6.
86. Muller, A., Scarsini, M. and Shaked, M. (2002), The newsvendor game has a nonempty core, Games and Economic Behavior, Vol. 38 No. 1, pp. 118-26.
87. Naik, P.A., Prasad, A. and Sethi, S.P. (2008), Building brand awareness in dynamic oligopoly markets, Management Science, Vol. 54 No. 1, pp. 129-38.
88. Netessine, S. and Rudi, N. (2003), Centralized and competitive inventory models with demand substitution, Operations Research, Vol. 51 No. 2, pp. 329-35.
89. Netessine, S. and Shumsky, R.A. (2005), Revenues management games: horizontal and vertical competition, Management Science, Vol. 51 No. 5, pp. 813-31.
90. Ozer, O. and Wei, W. (2006), Strategic commitment for optimal capacity decision under asymmetric forecast information, Management Science, Vol. 52 No. 8, pp. 1238-57.
91. Pasternack, B.A. (1985), Optimal pricing and return policies for perishable commodities, Marketing Science, Vol. 4 No. 2, pp. 166-76.
92. Payan, J.M. (2007), A review and delineation of cooperation and coordination in marketing channels, European Business Review, Vol. 19 No. 3, pp. 216-33.
93. Petrosjan, L. and Zaccour, G. (2003), Time-consistent Shapley value allocation of pollution cost reduction, Journal of Economic Dynamics and Control, Vol. 27 No. 3, pp. 381-98.
94. Porteus, E.L. and Whang, S. (1991), On manufacturing and marketing incentives, Management Science, Vol. 37 No. 9, pp. 1166-81.
95. Rajan, A., Steinberg, R. and Steinberg, R. (1992), Dynamic pricing and ordering decisions by a monopolist, Management Science, Vol. 38 No. 2, pp. 240-62.
96. Rao, R.C. (1991), Pricing and promotions in asymmetric duopolies, Marketing Science, Vol. 10 No. 2, pp. 131-44.
97. Reyniers, D.J. and Tapiero, C.S. (1995), The delivery and control of quality in supplier-producer contracts, Management Science, Vol. 41 No. 10, pp. 1581-9.
98. Rudi, N., Kapur, S. and Pyke, D.F. (2001), A two-location inventory model with transshipment and local decision making, Management Science, Vol. 47 No. 12, pp. 1668-80.
99. Savaskan, C.R., Bhattacharya, S. and van Wassenhove, L.N. (2004), Closed-loop supply chain models with product remanufacturing, Management Science, Vol. 50 No. 2, pp. 239-52.
100. Sethi, S.P. (1977), Dynamic optimal control models in advertising: a survey, SIAM Review, Vol. 19 No. 4, pp. 685-725.
101. Sorger, G. (1989), Competitive dynamic advertising. A modification of the case game, Journal of Economic Dynamics and Control, Vol. 13 No. 3, pp. 55-80.
102. Spremann, K. (1985), The signalling of quality by reputation, in Feichtinger, G. (Ed.), Optimal Control Theory and Economic Analysis, Vol. 2, North-Holland, Amsterdam, pp. 235-52.
103. Taboudi, S. and Zaccour, G. (2002), Impact of retailer's myopia on channel's strategies. In optimal control and differential games, in Zaccour, G. (Ed.), Optimal Control and Differential Games. Essays in Honour of Steffen Jørgensen, Kluwer Academic, Boston, MA, pp. 179-82.
104. Taylor, T.A. (2002), Supply chain coordination under channel rebates with sales effort effects, Management Science, Vol. 48 No. 8, pp. 992-1007.
105. Thompson, G.L. and Teng, J.T. (1984), Optimal pricing and advertising policies for new product oligopoly models, Management Science, Vol. 1 No. 2, pp. 148-68.
106. Tomlin, B. (2003), Capacity investments in supply chains: sharing the gain rather than sharing the pain, Manufacturing and Service Operations Management, Vol. 5 No. 4, pp. 317-33.
107. Tsay, A.A. (1999), The quantity flexibility contract and supplier-customer incentives, Management Science, Vol. 45 No. 10, pp. 1339-58.
108. Voros, J. (2006), The dynamics of price, quality and productivity improvement decisions, European Journal of Operational Research, Vol. 170 No. 3, pp. 809-23.
109. Wang, Q. and Wu, Z. (2001), A duopolistic model of dynamic competitive advertising, European Journal of Operational Research, Vol. 128 No. 1, pp. 213-26.
110. Wang, Y. and Gerchak, Y. (2003), Capacity games in assembly systems under uncertain demand, Manufacturing and Service Operations Management, Vol. 5 No. 3, pp. 252-67.
111. Weng, Z.K. (1995), Channel coordination and quantity discounts, Management Science, Vol. 41 No. 9, pp. 1509-22.
112. Zaccour, G. (2008), On the coordination of dynamic marketing channels and two-part tariffs, Automatica, Vol. 44 No. 5, pp. 1233-9.