The prenucleolus for games with communication structures
Abstractt is well-known that the prenucleolus on the class of TU games is characterized by singlevaluedness, covariance under strategic equivalence, anonymity, and the reduced game property. We show that the prenucleolus on the class of TU games restricted to the connected coalitions with respect to communication structures may be characterized by the same axioms and a stronger version of independence of non-connected coalitions requiring that the solution does not depend on the worth of any non-connected coalition. Similarly as in the classical case, it turns out that each of the five axioms is logically independent of the remaining axioms and that an infinite universe of potential players is necessary. Moreover, a suitable definition and characterization of a prekernel for games with communication structures is presented.
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Bibliographic InfoPaper provided by Department of Business and Economics, University of Southern Denmark in its series Discussion Papers of Business and Economics with number 10/2011.
Length: 15 pages
Date of creation: 10 Dec 2011
Date of revision:
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TU game; solution concept; communication and conference structure; nucleolus;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-02-08 (All new papers)
- NEP-CDM-2012-02-08 (Collective Decision-Making)
- NEP-GTH-2012-02-08 (Game Theory)
- NEP-HPE-2012-02-08 (History & Philosophy of Economics)
- NEP-MIC-2012-02-08 (Microeconomics)
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- Herings, P.J.J. & Laan, G. van der & Talman, A.J.J. & Yang, Z.F., 2010.
"The average tree solution for cooperative games with communication structure,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-3736837, Tilburg University.
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Yang, Z., 2010. "The average tree solution for cooperative games with communication structure," Games and Economic Behavior, Elsevier, vol. 68(2), pages 626-633, March.
- Herings, P.J.J. & Laan, G. van der & Talman, A.J.J. & Yang, Z.F., 2008. "The Average Tree Solution for Cooperative Games with Communication Structure," Discussion Paper 2008-73, Tilburg University, Center for Economic Research.
- P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman & Zaifu Yang, 2008. "The Average Tree Solution for Cooperative Games with Communication Structure," Tinbergen Institute Discussion Papers 08-083/1, Tinbergen Institute.
- Herings, P. Jean-Jacques & Laan, Gerard van der & Talman, Dolf & Yang, Zaifu, 2008. "The Average Tree Solution for Cooperative Games with Communication Structure," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
- Orshan,G. & Sudhoelter,P., 2001.
"The positive core of a cooperative game,"
326, Bielefeld University, Center for Mathematical Economics.
- Katsev, Ilya & Yanovskaya, Elena, 2013. "The prenucleolus for games with restricted cooperation," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 56-65.
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