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A differential game model of the marketing-operations interface

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  • Erickson, Gary M.

Abstract

In the development of their dynamic strategies, the marketing and operations functions within a firm have differing objectives, and conflict between the two functions is common. The strategic interdependence involving marketing and operations decisions is modeled as a noncooperative differential game. Demand is assumed to be a function of price and advertising goodwill, and marketing controls price and advertising to maximize its discounted stream of revenue net of advertising costs. Backlogging is allowed, and operations controls production to minimize its discounted stream of production and backlog costs. A feedback Nash equilibrium is derived for the game, which allows a solution of the system of differential equations for goodwill and backlog, and is analyzed to study the nature of the dynamic strategies for price, advertising, and production.

Suggested Citation

  • Erickson, Gary M., 2011. "A differential game model of the marketing-operations interface," European Journal of Operational Research, Elsevier, vol. 211(2), pages 394-402, June.
    • Handle: RePEc:eee:ejores:v:211:y:2011:i:2:p:394-402
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    1. Thompson, Gerald L. & Sethi, Suresh P. & Teng, Jinn-Tsair, 1984. "Strong planning and forecast horizons for a model with simultaneous price and production decisions," European Journal of Operational Research, Elsevier, vol. 16(3), pages 378-388, June.
    2. Jorgensen, Steffen & Kort, Peter M. & Zaccour, Georges, 1999. "Production, inventory, and pricing under cost and demand learning effects," European Journal of Operational Research, Elsevier, vol. 117(2), pages 382-395, September.
    3. Aram G. Sogomonian & Christopher S. Tang, 1993. "A Modeling Framework for Coordinating Promotion and Production Decisions within a Firm," Management Science, INFORMS, vol. 39(2), pages 191-203, February.
    4. Feichtinger, Gustav & Hartl, Richard, 1985. "Optimal pricing and production in an inventory model," European Journal of Operational Research, Elsevier, vol. 19(1), pages 45-56, January.
    5. Li, Xiuhui & Wang, Qinan, 2007. "Coordination mechanisms of supply chain systems," European Journal of Operational Research, Elsevier, vol. 179(1), pages 1-16, May.
    6. Pradeep K. Chintagunta, 1993. "Investigating the Sensitivity of Equilibrium Profits to Advertising Dynamics and Competitive Effects," Management Science, INFORMS, vol. 39(9), pages 1146-1162, September.
    7. Dov Pekelman, 1974. "Simultaneous Price-Production Decisions," Operations Research, INFORMS, vol. 22(4), pages 788-794, August.
    8. Joseph Thomas, 1971. "Linear Programming Models for Production-Advertising Decisions," Management Science, INFORMS, vol. 17(8), pages 474-484, April.
    9. Abad, P. L., 1987. "A hierarchical optimal control model for co-ordination of functional decisions in a firm," European Journal of Operational Research, Elsevier, vol. 32(1), pages 62-75, October.
    10. Joseph Thomas, 1970. "Price-Production Decisions with Deterministic Demand," Management Science, INFORMS, vol. 16(11), pages 747-750, July.
    11. Jorgensen, Steffen, 1986. "Optimal production, purchasing and pricing: A differential game approach," European Journal of Operational Research, Elsevier, vol. 24(1), pages 64-76, January.
    12. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    13. Chaim Fershtman & Vijay Mahajan & Eitan Muller, 1990. "Market Share Pioneering Advantage: A Theoretical Approach," Management Science, INFORMS, vol. 36(8), pages 900-918, August.
    14. William W. Damon & Richard Schramm, 1972. "A Simultaneous Decision Model for Production, Marketing and Finance," Management Science, INFORMS, vol. 19(2), pages 161-172, October.
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