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On the convexity of newsvendor games

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Author Info
Ozen, Ulas
Norde, Henk
Slikker, Marco (Tilburg University, Center for Economic Research)

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Abstract

This study considers a simple newsvendor situation that consists of n retailers, all selling the same item with common purchasing costs and common selling prices. Groups of retailers might increase their expected joint profit by inventory centralization, which means that they make a joint order to satisfy total future demand. The resulting newsvendor games are shown to have non-empty cores in the literature. This study investigates convexity of newsvendor games. We focus our analysis on the class of newsvendor games with independent symmetric unimodal demand distributions after providing several examples outside this class that are not convex. Several interesting subclasses, containing convex games only, are identified. Additionally, we illustrate that these results can not be extended to all games in this class.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 103.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:2005103

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Web page: http://center.uvt.nl

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Related research
Keywords: inventory centralization; newsvendor; convexity;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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.:
  1. Borm, P. & Hamers, H. & Hendrickx,, 2001. "Operations research games : a survey," Discussion Paper 45, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Slikker, Marco & Fransoo, Jan & Wouters, Marc, 2005. "Cooperation between multiple news-vendors with transshipments," European Journal of Operational Research, Elsevier, vol. 167(2), pages 370-380, December. [Downloadable!] (restricted)
  3. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October. [Downloadable!] (restricted)
  4. Ozen, U. & Fransoo, J. & Norde, H.W. & Slikker, M., 2004. "Cooperation between multiple newsvendors with warehouses," Discussion Paper 34, Tilburg University, Center for Economic Research. [Downloadable!]
  5. Muller, Alfred & Scarsini, Marco & Shaked, Moshe, 2002. "The Newsvendor Game Has a Nonempty Core," Games and Economic Behavior, Elsevier, vol. 38(1), pages 118-126, January. [Downloadable!] (restricted)
  6. Hartman, Bruce C. & Dror, Moshe & Shaked, Moshe, 2000. "Cores of Inventory Centralization Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 26-49, April. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.


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