k -additive upper approximation of TU-games
Author
Abstract
Suggested Citation
DOI: 10.1016/j.orl.2020.06.001
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02860802
Download full text from publisher
Other versions of this item:
- Michel Grabisch & Agnieszka Rusinowska, 2020. "k -additive upper approximation of TU-games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02860802, HAL.
- Michel Grabisch & Agnieszka Rusinowska, 2020. "k -additive upper approximation of TU-games," Post-Print halshs-02860802, HAL.
References listed on IDEAS
- Grabisch, Michel & Li, Tong, 2011.
"On the set of imputations induced by the k-additive core,"
European Journal of Operational Research, Elsevier, vol. 214(3), pages 697-702, November.
- Michel Grabisch & Tong Li, 2011. "On the set of imputations induced by the k-additive core," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00625339, HAL.
- Michel Grabisch & Tong Li, 2011. "On the set of imputations induced by the k-additive core," Post-Print hal-00625339, HAL.
- Marichal, Jean-Luc & Mathonet, Pierre, 2011. "Weighted Banzhaf power and interaction indexes through weighted approximations of games," European Journal of Operational Research, Elsevier, vol. 211(2), pages 352-358, June.
- Michel Grabisch & Jean-Luc Marichal & Marc Roubens, 2000. "Equivalent Representations of Set Functions," Mathematics of Operations Research, INFORMS, vol. 25(2), pages 157-178, May.
- Ulrich Faigle & Michel Grabisch, 2016.
"Bases and linear transforms of TU-games and cooperation systems,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 875-892, November.
- Ulrich Faigle & Michel Grabisch, 2016. "Bases and linear transforms of TU-games and cooperation systems," Post-Print hal-01404509, HAL.
- Ulrich Faigle & Michel Grabisch, 2016. "Bases and linear transforms of TU-games and cooperation systems," PSE-Ecole d'économie de Paris (Postprint) hal-01404509, HAL.
- Ulrich Faigle & Michel Grabisch, 2016. "Bases and linear transforms of TU-games and cooperation systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01404509, HAL.
- SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michel Grabisch, 2016.
"Set Functions, Games and Capacities in Decision Making,"
Theory and Decision Library C,
Springer, number 978-3-319-30690-2, December.
- Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01372911, HAL.
- Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," Post-Print hal-01372911, HAL.
- Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," PSE-Ecole d'économie de Paris (Postprint) hal-01372911, HAL.
- Ruiz, Luis M & Valenciano, Federico & Zarzuelo, Jose M, 1996. "The Least Square Prenucleolus and the Least Square Nucleolus. Two Values for TU Games Based on the Excess Vector," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 113-134.
- Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 23-38.
- Xiaotie Deng & Christos H. Papadimitriou, 1994. "On the Complexity of Cooperative Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 19(2), pages 257-266, May.
- Ruiz, Luis M. & Valenciano, Federico & Zarzuelo, Jose M., 1998. "The Family of Least Square Values for Transferable Utility Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 109-130, July.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Beliakov, Gleb, 2022. "Knapsack problems with dependencies through non-additive measures and Choquet integral," European Journal of Operational Research, Elsevier, vol. 301(1), pages 277-286.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Ulrich Faigle & Michel Grabisch, 2019.
"Least Square Approximations and Linear Values of Cooperative Game,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
halshs-02381231, HAL.
- Ulrich Faigle & Michel Grabisch, 2019. "Least Square Approximations and Linear Values of Cooperative Game," Post-Print halshs-02381231, HAL.
- Michel Grabisch, 2016.
"Remarkable polyhedra related to set functions, games and capacities,"
TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 301-326, July.
- Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Post-Print halshs-01412292, HAL.
- Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Post-Print hal-01372858, HAL.
- Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01372858, HAL.
- Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01412292, HAL.
- Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," PSE-Ecole d'économie de Paris (Postprint) hal-01372858, HAL.
- Wenna Wang & Hao Sun & Rene (J.R.) van den Brink & Genjiu Xu, 2018. "The family of ideal values for cooperative games," Tinbergen Institute Discussion Papers 18-002/II, Tinbergen Institute.
- Marcin Malawski, 2013. "“Procedural” values for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 305-324, February.
- Ulrich Faigle & Michel Grabisch, 2015.
"Least Square Approximations and Conic Values of Cooperative Games,"
Documents de travail du Centre d'Economie de la Sorbonne
15047, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Ulrich Faigle & Michel Grabisch, 2015. "Least Square Approximations and Conic Values of Cooperative Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01169281, HAL.
- Ulrich Faigle & Michel Grabisch, 2015. "Least Square Approximations and Conic Values of Cooperative Games," Post-Print halshs-01169281, HAL.
- Ulrich Faigle & Michel Grabisch, 2014.
"Bases and Linear Transforms of Cooperation Systems,"
Documents de travail du Centre d'Economie de la Sorbonne
14010r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised May 2015.
- Ulrich Faigle & Michel Grabisch, 2015. "Bases and Linear Transforms of Cooperation systems," Post-Print halshs-00971393, HAL.
- Ulrich Faigle & Michel Grabisch, 2015. "Bases and Linear Transforms of Cooperation systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00971393, HAL.
- Ulrich Faigle & Michel Grabisch, 2014. "Linear Transforms, Values and Least Square Approximation for Cooperation Systems," Documents de travail du Centre d'Economie de la Sorbonne 14010, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Xia Zhang & René van den Brink & Arantza Estévez-Fernández & Hao Sun, 2022. "Individual weighted excess and least square values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(2), pages 281-296, April.
- Wenna Wang & Hao Sun & René Brink & Genjiu Xu, 2019. "The Family of Ideal Values for Cooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 1065-1086, March.
- Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games," Documents de travail du Centre d'Economie de la Sorbonne 16081, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Borkotokey, Surajit & Kumar, Rajnish & Sarangi, Sudipta, 2015. "A solution concept for network games: The role of multilateral interactions," European Journal of Operational Research, Elsevier, vol. 243(3), pages 912-920.
- repec:hal:pseose:hal-01372858 is not listed on IDEAS
- Csóka, Péter & Illés, Ferenc & Solymosi, Tamás, 2022.
"On the Shapley value of liability games,"
European Journal of Operational Research, Elsevier, vol. 300(1), pages 378-386.
- Peter Csoka & Ferenc Illes & Tamas Solymosi, 2020. "On the Shapley value of liability games," CERS-IE WORKING PAPERS 2001, Institute of Economics, Centre for Economic and Regional Studies.
- Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018.
"An axiomatisation of the Banzhaf value and interaction index for multichoice games,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
halshs-02381119, HAL.
- Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018. "An axiomatisation of the Banzhaf value and interaction index for multichoices games," Post-Print halshs-01814977, HAL.
- Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018. "An axiomatisation of the Banzhaf value and interaction index for multichoice games," Documents de travail du Centre d'Economie de la Sorbonne 18007, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018. "An axiomatisation of the Banzhaf value and interaction index for multichoice games," Post-Print halshs-02381119, HAL.
- Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018. "An axiomatisation of the Banzhaf value and interaction index for multichoices games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01814977, HAL.
- Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
- Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.
- Trudeau, Christian & Vidal-Puga, Juan, 2020.
"Clique games: A family of games with coincidence between the nucleolus and the Shapley value,"
Mathematical Social Sciences, Elsevier, vol. 103(C), pages 8-14.
- Christian Trudeau & Juan Vidal-Puga, 2017. "Clique games: a family of games with coincidence between the nucleolus and the Shapley value," Working Papers 1705, University of Windsor, Department of Economics.
- Trudeau, Christian & Vidal-Puga, Juan, 2018. "Clique games: a family of games with coincidence between the nucleolus and the Shapley value," MPRA Paper 95999, University Library of Munich, Germany.
- Trudeau, Christian & Vidal-Puga, Juan, 2018. "Clique games: a family of games with coincidence between the nucleolus and the Shapley value," MPRA Paper 96710, University Library of Munich, Germany.
- Wenzhong Li & Genjiu Xu & Rene van den Brink, 2021. "Sharing the cost of cleaning up a polluted river," Tinbergen Institute Discussion Papers 21-028/II, Tinbergen Institute.
- Tanaka, Masato & Matsui, Tomomi, 2022. "Pseudo polynomial size LP formulation for calculating the least core value of weighted voting games," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 47-51.
- Radzik, Tadeusz & Driessen, Theo, 2013. "On a family of values for TU-games generalizing the Shapley value," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 105-111.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2017.
"Axiomatization and implementation of a class of solidarity values for TU-games,"
Theory and Decision, Springer, vol. 83(1), pages 61-94, June.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Post-Print halshs-01446583, HAL.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:pseptp:halshs-02860802. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Caroline Bauer (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.