Farsighted coalitional stability in TU-games
We study farsighted coalitional stability in the context of TU-games. We show that every TU-game has a nonempty largest consistent set and that each TU-game has a von Neumann-Morgenstern farsighted stable set. We characterize the collection of von Neumann-Morgenstern farsighted stable sets. We also show that the farsighted core is either empty or equal to the set of imputations of the game. In the last section, we explore the stability of the Shapley value. The Shapley value of a superadditive game is a stable imputation: it is a core imputation or it constitutes a von Neumann-Morgenstern farsighted stable set. A necessary and sufficient condition for a superadditive game to have the Shapley value in the largest consistent set is given.
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.:
- Ana Mauleon & Vincent Vannetelbosch, 2004.
"Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers,"
Theory and Decision,
Springer, vol. 56(3), pages 291-324, 05.
- MAULEON, Ana & VANNETELBOSCH, Vincent, . "Farsightedness and cautiousness in coalition formation games with positive spillovers," CORE Discussion Papers RP 1729, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Effrosyni Diamantoudi & Licun Xue, 2006. "Lucas Counter Example Revisited," Departmental Working Papers 2005-09, McGill University, Department of Economics.
- Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
- Rosenthal, Robert W., 1972. "Cooperative games in effectiveness form," Journal of Economic Theory, Elsevier, vol. 5(1), pages 88-101, August.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2006.
"Convex Games versus Clan Games,"
2006-58, Tilburg University, Center for Economic Research.
- Page Jr, Frank H & Wooders, Myrna H. & Kamat, Samir, 2002.
"Networks And Farsighted Stability,"
The Warwick Economics Research Paper Series (TWERPS)
660, University of Warwick, Department of Economics.
- Page Jr. Frank H & Wooders, Myrna & Kamat, Samir, 2003. "Networks and Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 689, University of Warwick, Department of Economics.
- Page Jr, Frank H & Wooders, Myrna H & Kamat, Samir, 2001. "Networks And Farsighted Stability," The Warwick Economics Research Paper Series (TWERPS) 621, University of Warwick, Department of Economics.
- Samir Kamat & Frank Page & Myrna Wooders, 2004. "Networks and Farsighted Stability," Econometric Society 2004 North American Winter Meetings 561, Econometric Society.
- Frank H. Page Jr. & Myrna H. Wooders & Samir Kamat, 2002. "Networks and Farsighted Stability," Computing in Economics and Finance 2002 370, Society for Computational Economics.
- Masuda, Takeshi, 2002. "Farsighted stability in average return games," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 169-181, November.
- Xue, Licun, 1997. "Nonemptiness of the Largest Consistent Set," Journal of Economic Theory, Elsevier, vol. 73(2), pages 453-459, April.
- Akihiro Suzuki & Shigeo Muto, 2005. "Farsighted Stability in an n-Person Prisoner’s Dilemma," International Journal of Game Theory, Springer, vol. 33(3), pages 431-445, 09.
- Effrosyni Diamantoudi & Licun Xue, .
"Farsighted Stability in Hedonic Games,"
Economics Working Papers
2000-12, School of Economics and Management, University of Aarhus.
- John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:56:y:2008:i:3:p:303-313. 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: (Zhang, Lei)
If references are entirely missing, you can add them using this form.