Dissection of solutions in cooperative game theory using representation techniques
Author
Abstract
Suggested Citation
DOI: 10.1007/s00182-006-0036-3
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Rafael Amer & Jean Derks & José Miguel Giménez, 2003. "On cooperative games, inseparable by semivalues," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 181-188, December.
- Klaus Kultti & Hannu Salonen, 2007. "Minimum norm solutions for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 591-602, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- L. Hernández-Lamoneda & Francisco Sánchez-Sánchez, 2015. "Cooperative games with homogeneous groups of participants," Theory and Decision, Springer, vol. 79(3), pages 451-461, November.
- Sanchez-Perez, Joss, 2015. "A decomposition for the space of games with externalities," MPRA Paper 67932, University Library of Munich, Germany.
- Genjiu Xu & René van den Brink & Gerard van der Laan & Hao Sun, 2012. "Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach," Tinbergen Institute Discussion Papers 12-105/II, Tinbergen Institute.
- L. Hernández-Lamoneda & F. Sánchez-Sánchez, 2017. "Linear symmetric rankings for TU-games," Theory and Decision, Springer, vol. 82(4), pages 461-484, April.
- Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
- Francisco Sanchez-Sanchez & Ruben Juarez & Luis Hernandez-Lamoneda, 2008. "Solutions without dummy axiom for TU cooperative games," Economics Bulletin, AccessEcon, vol. 3(1), pages 1-9.
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.- Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "Coalition formation in simple Games. the semistrict core," Center for Mathematical Economics Working Papers 378, Center for Mathematical Economics, Bielefeld University.
- Ghintran, Amandine, 2013.
"Weighted position values,"
Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
- Amandine Ghintran, 2008. "A weighted position value," Post-Print hal-00332573, HAL.
- Amandine Ghintran, 2010. "A weighted position value," Working Paper Series 1008, Óbuda University, Keleti Faculty of Business and Management.
- Amandine Ghintran, 2013. "A weighted position value," Post-Print halshs-00667665, HAL.
- Amandine Ghintran, 2010. "A weighted position value," Post-Print halshs-00531311, HAL.
- Amandine Ghintran, 2009. "A weighted position value," Working Papers hal-00420430, HAL.
- 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.
- Harald Wiese, 2012. "Values with exogenous payments," Theory and Decision, Springer, vol. 72(4), pages 485-508, April.
- Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "An axiomatic approach to composite solutions," Center for Mathematical Economics Working Papers 385, Center for Mathematical Economics, Bielefeld University.
- María Gómez-Rúa & Juan Vidal-Puga, 2011.
"Balanced per capita contributions and level structure of cooperation,"
TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 167-176, July.
- Gómez-Rúa, María & Vidal-Puga, Juan, 2008. "Balanced per capita contributions and levels structure of cooperation," MPRA Paper 8208, University Library of Munich, Germany.
- Billot, Antoine & Thisse, Jacques-Francois, 2005.
"How to share when context matters: The Mobius value as a generalized solution for cooperative games,"
Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1007-1029, December.
- BILLOT, Antoine & THISSE, Jean-François, 2002. "How to share when context matters: The Möbius value as a generalized solution for cooperative games," LIDAM Discussion Papers CORE 2002025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Jacques-François Thisse & Antoine Billot, 2005. "How to share when context matters : The Mobius value as a generalized solution for cooperative games," Post-Print halshs-00754051, HAL.
- Jean-Yves Jaffray & Philippe Mongin, 2003.
"Constrained egalitarianism in a simple redistributive model,"
Theory and Decision, Springer, vol. 54(1), pages 33-56, February.
- Jaffray, J.Y. & Mongin, P., 1998. "Constrained Egalitarianism in a Simple Resistributive Model," Papers 9837, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- J.- Y. Jaffray & Ph. Mongin, 1998. "Constrained egalitarianism in a simple redistributive model," THEMA Working Papers 98-37, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Gustavo Bergantiños & Silvia Lorenzo-Freire, 2008. "A characterization of optimistic weighted Shapley rules in minimum cost spanning tree problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 523-538, June.
- Gómez-Rúa, María & Vidal-Puga, Juan, 2010.
"The axiomatic approach to three values in games with coalition structure,"
European Journal of Operational Research, Elsevier, vol. 207(2), pages 795-806, December.
- Gómez-Rúa, María & Vidal-Puga, Juan, 2008. "The axiomatic approach to three values in games with coalition structure," MPRA Paper 8904, University Library of Munich, Germany.
- 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.
- Tongseok Lim, 2021. "A Hodge theoretic extension of Shapley axioms," Papers 2106.15094, arXiv.org, revised Sep 2021.
- Haeringer, Guillaume, 2006.
"A new weight scheme for the Shapley value,"
Mathematical Social Sciences, Elsevier, vol. 52(1), pages 88-98, July.
- Guillaume Haeringer, 1998. "A new weight scheme for the Shapley value," Game Theory and Information 9807001, University Library of Munich, Germany.
- Guillaume HAERINGER, 1999. "A New Weight Scheme for the Shapley Value," Working Papers of BETA 9910, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Federico Valenciano & Annick Laruelle, 2003. "Potential, Value And Probability," Working Papers. Serie AD 2003-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- L. Hernández-Lamoneda & F. Sánchez-Sánchez, 2010. "Rankings and values for team games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 319-350, July.
- Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
- Stern, Ari & Tettenhorst, Alexander, 2019. "Hodge decomposition and the Shapley value of a cooperative game," Games and Economic Behavior, Elsevier, vol. 113(C), pages 186-198.
- Gérard Hamiache, 2011. "Graph monotonic values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 287-307, July.
- Michela Chessa & Vito Fragnelli, 2011. "Embedding Classical Indices in the FP Family," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 5(3), pages 289-305, November.
- Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
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:spr:jogath:v:35:y:2007:i:3:p:395-426. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.