Channel Coordination in a Multi-period Newsvendor Model with Dynamic, Price-dependent Stochastic Demand
Reza Azad Gholami (),
Leif Sandal () and
No 2016/6, Discussion Papers from Norwegian School of Economics, Department of Business and Management Science
In this study, we extend the single-period newsvendor problem with stochastic demand into a multi-period and time-dependent one and find a solution for it. We analyze the multi-period newsvendor problem with stochastic demand in a Stackelberg framework where the wholesaler is the leader and the retailer (newsvendor) is the follower. We use an additive-multiplicative structure for the demand so that both its mean and variance are considered as functions of the current retail price. Moreover, in our model, the demand mean and variance can be either time-dependent or autonomous with respect to time. A price-dependent memory function is also embedded in this representation of demand that carries the effect of demand level at present over to the demand in future. This leads to a strategic game in which the players must balance immediate high profits with reduced future earnings. We propose a complete solution to this stochastic multi-period Stackelberg game, covering cases with finite and infinite horizons. The theory is illustrated by using Cobb-Douglas demand functions as the deterministic part, while a random variable brings in stochasticity into the model. Because our theory is very flexible with respect to the assumptions made about the demand, market memory, and the behavior of the two agents, it is applicable to a wide variety of functional forms and capable to model many different economic contexts.
Keywords: Stochastic games; multi-period newsvendor problem; stochastic demand; price-dependent demand; time-dependent demand; pricing theory; market engineering (search for similar items in EconPapers)
JEL-codes: C00 C70 (search for similar items in EconPapers)
Pages: 34 pages
New Economics Papers: this item is included in nep-pke
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
Our link check indicates that this URL is bad, the error code is: 404 Not Found (http://hdl.handle.net/11250/2382455 [302 Found]--> https://www.unit.no/brage-denne-lenken-er-ikke-lenger-gyldig [301 Moved Permanently]--> https://sikt.no/brage-denne-lenken-er-ikke-lenger-gyldig)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:hhs:nhhfms:2016_006
Access Statistics for this paper
More papers in Discussion Papers from Norwegian School of Economics, Department of Business and Management Science NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway. Contact information at EDIRC.
Bibliographic data for series maintained by Stein Fossen ().