Cores of Inventory Centralization Games

Hartman, Bruce C.; Dror, Moshe; Shaked, Moshe

doi:10.1006/game.1999.0732

Cited by 123 publications

(90 citation statements)

References 7 publications

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“…Hartman et al [44] further show that this game has a nonempty core under certain restrictions on the demand distribution. Muller et al [65] relax these restrictions and show that the core is always nonempty.…”

Section: Tutorials In Operations Research C 2006 Informsmentioning

confidence: 98%

“…In terms of specific applications to the SCM, Hartman et al [44] considered the newsvendor centralization game, i.e., a game in which multiple retailers decide to centralize their inventory and split profits resulting from the benefits of risk pooling. Hartman et al [44] further show that this game has a nonempty core under certain restrictions on the demand distribution.…”

Section: Tutorials In Operations Research C 2006 Informsmentioning

confidence: 99%

See 1 more Smart Citation

Game Theory in Supply Chain Analysis

Cachon¹,

Netessine²

2006

Models, Methods, and Applications for Innovative Decision Making

166

168

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Game theory has become an essential tool in the analysis of supply chains with multiple agents, often with conflicting objectives. This chapter surveys the applications of game theory to supply chain analysis and outlines game-theoretic concepts that have potential for future application. We discuss both noncooperative and cooperative game theory in static and dynamic settings. Careful attention is given to techniques for demonstrating the existence and uniqueness of equilibrium in noncooperative games. A newsvendor game is employed throughout to demonstrate the application of various tools.

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Section: Tutorials In Operations Research C 2006 Informsmentioning

confidence: 98%

Section: Tutorials In Operations Research C 2006 Informsmentioning

confidence: 99%

Game Theory in Supply Chain Analysis

Cachon¹,

Netessine²

2006

Models, Methods, and Applications for Innovative Decision Making

166

168

View full text Add to dashboard Cite

show abstract

“…After the demands are realized, the inventory is optimally allocated to the retailers. It has been shown that the inventory centralization game has a non-empty core; see Hartman et al [10] and Müller et al [14].…”

Section: Literature Reviewmentioning

confidence: 99%

Cost Allocation for Joint Replenishment Models

Zhang

2009

Operations Research

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We consider the one-warehouse multiple retailer inventory model with a submodular joint setup cost function. The objective of this model is to determine an inventory replenishment policy that minimizes the long-run average system cost over an infinite time horizon. Although the optimal policy for this problem is still unknown, a class of easy-to-implement power-of-two policies are 98% effective. This paper focuses on how the cost, under an optimal power-of-two policy, should be allocated to the retailers. This question generates an interesting cooperative game. We prove that this cooperative game has a non-empty core. The key to our result is a strong duality theorem for the one-warehouse multiple retailer problem under power-of-two policies.

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“…In terms of specific applications to the SCM, Hartman et al (2000) considered the newsvendor centralization game, i.e., a game in which multiple retailers decide to centralize their inventory and split profits resulting from the benefits of risk pooling. Hartman at al.…”

Section: 1mentioning

confidence: 99%

Game Theory in Supply Chain Analysis

Cachon

Netessine

2004

International Series in Operations Research &Amp; Management Science

306

View full text Add to dashboard Cite

Game theory has become an essential tool in the analysis of supply chains with multiple agents, often with conflicting objectives. This chapter surveys the applications of game theory to supply chain analysis and outlines game-theoretic concepts that have potential for future application. We discuss both non-cooperative and cooperative game theory in static and dynamic settings. Careful attention is given to techniques for demonstrating the existence and uniqueness of equilibrium in non-cooperative games. A newsvendor game is employed throughout to demonstrate the application of various tools. 1

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Cores of Inventory Centralization Games

Cited by 123 publications

References 7 publications

Game Theory in Supply Chain Analysis

Game Theory in Supply Chain Analysis

Cost Allocation for Joint Replenishment Models

Game Theory in Supply Chain Analysis

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