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A Cooperative Game Model of Dynamic Alliance Under Grid Environment

In: The 19th International Conference on Industrial Engineering and Engineering Management

Author

Listed:
  • Xiang-bin Zhang

    (Nanjing University of Posts and Telecommunications)

  • Min Wu

    (Nanjing University of Posts and Telecommunications)

Abstract

This paper mainly researches on how members of dynamic alliance make a cooperative game under manufacturing grid environment. Determined the contribution level which is made by resources suppliers to demanders by adjusting the proportion of resources provided by suppliers, so that to maximize the total revenue of this alliance. First, this paper establishes a differential dynamic equation for members of this alliance. Then it determines the performance index function of alliance’s total revenue. Finally, by using the pontryagin’s maximum principle to solve this problem, it gets the Nash equilibrium and through an example to verify the feasibility of this method.

Suggested Citation

  • Xiang-bin Zhang & Min Wu, 2013. "A Cooperative Game Model of Dynamic Alliance Under Grid Environment," Springer Books, in: Ershi Qi & Jiang Shen & Runliang Dou (ed.), The 19th International Conference on Industrial Engineering and Engineering Management, edition 127, chapter 0, pages 45-57, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-37270-4_5
    DOI: 10.1007/978-3-642-37270-4_5
    as

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