Competition under Time-Varying Demands and Dynamic Lot-Sizing Costs
AbstractWe develop a competitive pricing model which combines the complexity of time-varying demand and cost functions and that of scale economies arising from dynamic lot sizing costs. Each firm can replenish inventory in each of the T periods into which the planing horizon is partitioned. Fixed as well as variable procurement costs are incurred for each procurement order, along with inventory carrying costs. Each firm adopts, at the beginning of the planning horizon, a (single) price to be employed throughout the horizon. Based on each period's system of demand equations, these prices determine a time series of demands for each firm, which needs to service them with an optimal corresponding dynamic lot sizing plan. We establish the existence of a price equilibrium and associated optimal dynamic lotsizing plans, under mild conditions and employing a close approximation for the optimal lotsizing costs. We also design efficient procedures to compute the equilibrium prices and dynamic lotsizing plans.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Management Science, Lancaster University in its series Working Papers with number MRG/0003.
Length: 37 pages
Date of creation: Jun 2004
Date of revision: May 2008
Publication status: Published in Naval Research Logistics Vol 56, No 1 (February 2009), pp 57Ð73.
equilibrium; price; competition; game theory; inventory models; lot sizing; pricing; supply chain management;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Cecchetti, Stephen G., 1986. "The frequency of price adjustment : A study of the newsstand prices of magazines," Journal of Econometrics, Elsevier, vol. 31(3), pages 255-274, April.
- Anil K. Kashyap, 1991.
"Sticky prices: new evidence from retail catalogs,"
Working Paper Series, Macroeconomic Issues
91-26, Federal Reserve Bank of Chicago.
- Anil K Kashyap, 1994. "Sticky Prices: New Evidence from Retail Catalogs," NBER Working Papers 4855, National Bureau of Economic Research, Inc.
- Anil K. Kashyap, 1990. "Sticky prices: new evidence from retail catalogs," Finance and Economics Discussion Series 112, Board of Governors of the Federal Reserve System (U.S.).
- Heuvel, W. van den & Wagelmans, A.P.M., 2003.
"A Polynomial Time Algorithm for a Deterministic Joint Pricing and Inventory Model,"
ERS-2003-065-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
- van den Heuvel, Wilco & Wagelmans, Albert P.M., 2006. "A polynomial time algorithm for a deterministic joint pricing and inventory model," European Journal of Operational Research, Elsevier, vol. 170(2), pages 463-480, April.
- Judith A. Chevalier & Anil K. Kashyap & Peter E. Rossi, 2000.
"Why Don't Prices Rise During Periods of Peak Demand? Evidence from Scanner Data,"
NBER Working Papers
7981, National Bureau of Economic Research, Inc.
- Judith A. Chevalier & Anil K. Kashyap & Peter E. Rossi, 2003. "Why Don't Prices Rise During Periods of Peak Demand? Evidence from Scanner Data," American Economic Review, American Economic Association, vol. 93(1), pages 15-37, March.
- Peter E. Rossi & Judith A. Chevalier & Anil K. Kashyap, 2002. "Why Don't Prices Rise During Periods of Peak Demand? Evidence from Scanner Data," Yale School of Management Working Papers ysm291, Yale School of Management.
- Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
- Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
- Jehoshua Eliashberg & Abel P. Jeuland, 1986. "The Impact of Competitive Entry in a Developing Market Upon Dynamic Pricing Strategies," Marketing Science, INFORMS, vol. 5(1), pages 20-36.
- Clarke, Darral G & Dolan, Robert J, 1984. "A Simulation Analysis of Alternative Pricing Strategies for Dynamic Environments," The Journal of Business, University of Chicago Press, vol. 57(1), pages S179-200, January.
- Howard Kunreuther & Linus Schrage, 1973. "Joint Pricing and Inventory Decisions for Constant Priced Items," Management Science, INFORMS, vol. 19(7), pages 732-738, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joern Meissner).
If references are entirely missing, you can add them using this form.