The prenucleolus for games with communication structures
t 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.
|Date of creation:||10 Dec 2011|
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- 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. 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).
- Herings, P.J.J. & van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2010. "The average tree solution for cooperative games with communication structure," Other publications TiSEM 24359ac5-6399-42ee-8f0b-7, Tilburg University, School of Economics and Management.
- 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.J.J. & van der Laan, G. & 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.
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