Strongly Essential Coalitions and the Nucleolus of Peer Group Games
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Other versions of this item:
- Rodica Brânzei & Tamás Solymosi & Stef Tijs, 2005. "Strongly essential coalitions and the nucleolus of peer group games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 447-460, September.
- Brânzei, R. & Solymosi, T. & Tijs, S.H., 2003. "Strongly Essential Coalitions and the Nucleolus of Peer Group Games," Other publications TiSEM d2db812a-b13a-4e83-9198-2, Tilburg University, School of Economics and Management.
References listed on IDEAS
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- Rodica Brânzei & Vito Fragnelli & Stef Tijs, 2002.
"Tree-connected peer group situations and peer group games,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(1), pages 93-106, March.
- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2000. "Tree-connected Peer Group Situations and Peer Group Games," Discussion Paper 2000-117, Tilburg University, Center for Economic Research.
- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2002. "Tree-connected peer group situations and peer group games," Other publications TiSEM f4601b66-2e29-4969-85ca-0, Tilburg University, School of Economics and Management.
- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2000. "On the computation of the nucleolus of line-graph peer group games," Other publications TiSEM fd889ce3-d034-47a2-9f6b-2, Tilburg University, School of Economics and Management.
- Maschler, M. & Potters, J.A.M. & Tijs, S.H., 1992. "The general nucleolus and the reduced game property," Other publications TiSEM ab187dab-1b5b-40c3-a673-8, Tilburg University, School of Economics and Management.
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- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2000. "Tree-connected Peer Group Situations and Peer Group Games," Other publications TiSEM 5b7e5664-1a44-4e09-9186-6, Tilburg University, School of Economics and Management.
- Reijnierse, Hans & Potters, Jos, 1998. "The -Nucleolus of TU-Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 77-96, July.
- D. Granot & F. Granot & W. R. Zhu, 1998. "Characterization sets for the nucleolus," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 359-374.
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- Morton Davis & Michael Maschler, 1965. "The kernel of a cooperative game," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 12(3), pages 223-259, September.
- Solymosi, Tamas & Raghavan, T. E. S. & Tijs, Stef, 2005. "Computing the nucleolus of cyclic permutation games," European Journal of Operational Research, Elsevier, vol. 162(1), pages 270-280, April.
- M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
Citations
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Cited by:
- René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
- Vijay V. Vazirani, 2022. "New Characterizations of Core Imputations of Matching and $b$-Matching Games," Papers 2202.00619, arXiv.org, revised Dec 2022.
- Tamás Solymosi, 2019.
"Weighted nucleoli and dually essential coalitions,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1087-1109, December.
- Solymosi, Tamás, 2016. "Weighted nucleoli and dually essential coalitions," Corvinus Economics Working Papers (CEWP) 2016/12, Corvinus University of Budapest.
- Xiaotie Deng & Qizhi Fang & Xiaoxun Sun, 2009. "Finding nucleolus of flow game," Journal of Combinatorial Optimization, Springer, vol. 18(1), pages 64-86, July.
- repec:has:discpr:1321 is not listed on IDEAS
- Balázs Sziklai & Tamás Fleiner & Tamás Solymosi, 2014. "On the Core of Directed Acyclic Graph Games," CERS-IE WORKING PAPERS 1418, Institute of Economics, Centre for Economic and Regional Studies.
- René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with An Acyclic Permission Structure," Tinbergen Institute Discussion Papers 08-104/1, Tinbergen Institute.
- René Brink, 2017. "Games with a permission structure - A survey on generalizations and applications," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 1-33, April.
- Takayuki Oishi & Gerard van der Laan & René van den Brink, 2023. "Axiomatic analysis of liability problems with rooted-tree networks in tort law," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 229-258, January.
- van den Brink, René & Katsev, Ilya & van der Laan, Gerard, 2010. "An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 817-826, December.
- Takayuki Oishi & Gerard van der Laan & René van den Brink, 2016. "An Axiomatic Analysis of Joint Liability Problems with Rooted -Tree Structure," Tinbergen Institute Discussion Papers 16-042/II, Tinbergen Institute.
- Takayuki Oishi & Gerard van der Laan & René van den Brink, 2018. "The Tort Law and the Nucleolus for Generalized Joint Liability Problems," Discussion Papers 37, Meisei University, School of Economics.
- Trudeau, Christian & Vidal-Puga, Juan, 2017.
"On the set of extreme core allocations for minimal cost spanning tree problems,"
Journal of Economic Theory, Elsevier, vol. 169(C), pages 425-452.
- Christian Trudeau & Juan Vidal-Puga, 2015. "On the set of extreme core allocations for minimal cost spanning tree problems," Working Papers 1505, University of Windsor, Department of Economics.
- Vazirani, Vijay V., 2022. "The general graph matching game: Approximate core," Games and Economic Behavior, Elsevier, vol. 132(C), pages 478-486.
- Kuipers, Jeroen & Mosquera, Manuel A. & Zarzuelo, José M., 2013. "Sharing costs in highways: A game theoretic approach," European Journal of Operational Research, Elsevier, vol. 228(1), pages 158-168.
- Encarnacion Algaba & Rene van den Brink, 2021. "Networks, Communication and Hierarchy: Applications to Cooperative Games," Tinbergen Institute Discussion Papers 21-019/IV, Tinbergen Institute.
- Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," CERS-IE WORKING PAPERS 1512, Institute of Economics, Centre for Economic and Regional Studies.
- Tamás Solymosi, 2019. "Weighted nucleoli and dually essential coalitions (extended version)," CERS-IE WORKING PAPERS 1914, Institute of Economics, Centre for Economic and Regional Studies.
- René Brink & Ilya Katsev & Gerard Laan, 2011. "A polynomial time algorithm for computing the nucleolus for a class of disjunctive games with a permission structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 591-616, August.
- Rene van den Brink & Ilya Katsev & Gerard van der Laan, 2023. "Properties of Solutions for Games on Union-Closed Systems," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
- René van den Brink & Ilya Katsev & Gerard van der Laan, 2008. "Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure," Tinbergen Institute Discussion Papers 08-060/1, Tinbergen Institute.
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- D. Granot & H. Hamers & J. Kuipers & M. Maschler, 2004. "Chinese Postman Games on a Class of Eulerian Graphs," Discussion Paper Series dp366, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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67acfa22-d353-4af6-b913-1, Tilburg University, School of Economics and Management.
- Brânzei, R. & Fragnelli, V. & Meca, A. & Tijs, S.H., 2006. "Two Classes of Cooperative Games Related to One-Object Auction Situations," Discussion Paper 2006-25, Tilburg University, Center for Economic Research.
- Rodica Brânzei & Vito Fragnelli & Stef Tijs, 2002.
"Tree-connected peer group situations and peer group games,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(1), pages 93-106, March.
- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2000. "Tree-connected Peer Group Situations and Peer Group Games," Other publications TiSEM 5b7e5664-1a44-4e09-9186-6, Tilburg University, School of Economics and Management.
- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2002. "Tree-connected peer group situations and peer group games," Other publications TiSEM f4601b66-2e29-4969-85ca-0, Tilburg University, School of Economics and Management.
- Brânzei, R. & Fragnelli, V. & Tijs, S.H., 2000. "Tree-connected Peer Group Situations and Peer Group Games," Discussion Paper 2000-117, Tilburg University, Center for Economic Research.
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- Reijnierse, Hans & Potters, Jos, 1998. "The -Nucleolus of TU-Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 77-96, July.
More about this item
Keywords
game theory; algorithm; cooperative games; kernel estimation; peer games;All these keywords.
JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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