Assignment Situations With Multiple Ownership And Their Games
An assignment situation can be considered as a two-sided market consisting of two disjoint sets of objects. A non-negative reward matrix describes the profit if an object of one group is assigned to an object of the other group. Assuming that each object is owned by a different agent, Shapley and Shubik (1972) introduced a class of assignment games.This paper introduces assignment situations with multiple ownership (AMO). In these situations an object can be owned by several agents and an agent can participate in the ownership of more than one object. For AMO situations we introduce the class of k-AMO games. An AMO situation is called balanced if for any choice of the reward matrix the corresponding 1-AMO game is balanced. We provide necessary and sufficient conditions for balancedness of AMO situations. Moreover, sufficient conditions are provided for balancedness of k-AMO games.
Volume (Year): 11 (2009)
Issue (Month): 01 ()
|Contact details of provider:|| Web page: http://www.worldscinet.com/igtr/igtr.shtml|
|Order Information:|| Email: |
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.:
- T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 177-185.
- Solymosi, Tamas & Raghavan, Tirukkannamangai E S, 1994. "An Algorithm for Finding the Nucleolus of Asignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(2), pages 119-143.
- Granot, D. & Hamers, H.J.M. & Tijs, S.H., 1999. "On some balanced, totally balanced and submodular delivery games," Other publications TiSEM e0496604-0162-4a27-992c-a, Tilburg University, School of Economics and Management.
- Quint, Thomas, 1991. "Characterization of Cores of Assignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 413-420.
When requesting a correction, please mention this item's handle: RePEc:wsi:igtrxx:v:11:y:2009:i:01:p:1-13. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tai Tone Lim)
If references are entirely missing, you can add them using this form.