IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v17y2015i04ns0219198915500127.html
   My bibliography  Save this article

Component Acquisition Games

Author

Listed:
  • Imma Curiel

    (School of Engineering, University of Curaçao, Jan Noorduynweg 111, P. O. Box 3059, Curaçao)

Abstract

This paper focuses on situations in several companies each of which has a set of jobs that it has to complete. Each job has a specific starting and ending time and a specific starting and ending point. In order to complete its jobs a company needs to acquire components. There are several types of components. Each job requires exactly one component but not all components are suitable for all jobs. By cooperating, the companies can reduce the costs of acquisition. A component can be used by several companies as long as there is no overlap in the time-intervals of usage by different companies and there is enough time to move the component from where a company has stopped using it to where the next company needs it. A cooperative component acquisition game is constructed to model the cooperation between the companies. This game need not be balanced. Additional properties are introduced that guarantee the game to be totally balanced. We construct an element of the core by using the integer programming formulation of the characteristic function. These games have some relationship with coloring games but we show that results that are valid for coloring games do not hold for them.

Suggested Citation

  • Imma Curiel, 2015. "Component Acquisition Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1-14.
    • Handle: RePEc:wsi:igtrxx:v:17:y:2015:i:04:n:s0219198915500127
    DOI: 10.1142/S0219198915500127
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198915500127
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198915500127?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Keywords

    Perfect graph; chromatic number; cooperative combinatorial game; totally balanced game; 91A43; 90B05; 90C27;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:igtrxx:v:17:y:2015:i:04:n:s0219198915500127. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.