On the coincidence between the Shimomuras bargaining sets and the core
A necessary condition for the coincidence of the bargaining sets de ned by Shimomura (1997) and the core of a cooperative game with transferable utility is provided. To this aim, a set of payo vectors, called max-payo vectors, are introduced. This necessary condition simply checks whether these vectors are core elements of the game.
|Date of creation:||2010|
|Date of revision:|
|Contact details of provider:|| Postal: Espai de Recerca en Economia, Facultat de CiÃ¨ncies EconÃ²miques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.|
Phone: +34 93 402 43 13cazza
Web page: http://www.ere.ub.es
More information through EDIRC
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.:
- Daniel Granot, 2010. "The reactive bargaining set for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 163-170, March.
- Bezalel Peleg & Peter Sudholter, 2004. "Bargaining Sets of Voting Games," Discussion Paper Series dp376, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Ron Holzman, 2001. "The comparability of the classical and the Mas-Colell bargaining sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 543-553.
- Peter Sudhölter & Jos A. M. Potters, 2001.
"The semireactive bargaining set of a cooperative game,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 30(1), pages 117-139.
- Sudhoelter,P. & Potters,J.A.M., 1999. "The semireactive bargaining set of a cooperative game," Center for Mathematical Economics Working Papers 313, Center for Mathematical Economics, Bielefeld University.
- Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
- TamÂs Solymosi, 1999. "On the bargaining set, kernel and core of superadditive games," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 229-240.
- Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
- Tamás Solymosi, 2008. "Bargaining sets and the core in partitioning games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(4), pages 425-440, December.
- Ken-Ichi Shimomura, 1997. "Quasi-Cores in Bargaining Sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 283-302.
- 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.
- Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
- Dutta, Bhaskar & Ray, Debraj & Sengupta, Kunal & Vohra, Rajiv, 1989. "A consistent bargaining set," Journal of Economic Theory, Elsevier, vol. 49(1), pages 93-112, October.
When requesting a correction, please mention this item's handle: RePEc:bar:bedcje:2010241. 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: (Espai de Recerca en Economia)
If references are entirely missing, you can add them using this form.