Fuzzy games: a complement-consistent solution, axiomatizations and dynamic approaches
Author
Abstract
Suggested Citation
DOI: 10.1007/s10700-016-9248-6
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
- Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004.
"Egalitarianism in convex fuzzy games,"
Mathematical Social Sciences, Elsevier, vol. 47(3), pages 313-325, May.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Egalitarianism in Convex Fuzzy Games," Discussion Paper 2002-97, Tilburg University, Center for Economic Research.
- Brânzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2017. "Egalitarianism in convex fuzzy games," Center for Mathematical Economics Working Papers 337, Center for Mathematical Economics, Bielefeld University.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "Egalitarianism in convex fuzzy games," Other publications TiSEM feab7e25-2f43-47e3-9658-b, Tilburg University, School of Economics and Management.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Egalitarianism in Convex Fuzzy Games," Other publications TiSEM ac1df841-5719-4f42-972b-b, Tilburg University, School of Economics and Management.
- Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2004. "On cores and stable sets for fuzzy games," Other publications TiSEM 66dd20be-cb4b-4b6d-937e-0, Tilburg University, School of Economics and Management.
- Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Hervé Moulin, 1995.
"On Additive Methods To Share Joint Costs,"
The Japanese Economic Review, Japanese Economic Association, vol. 46(4), pages 303-332, December.
- Moulin, Herve, 1995. "On Additive Methods to Share Joint Costs," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 98-99, August.
- Li, Shujin & Zhang, Qiang, 2009. "A simplified expression of the Shapley function for fuzzy game," European Journal of Operational Research, Elsevier, vol. 196(1), pages 234-245, July.
- Neog, Rupok & Borkotokey, Surajit, 2011. "Dynamic resource allocation in fuzzy coalitions : a game theoretic model," MPRA Paper 40074, University Library of Munich, Germany.
- Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 389-407.
- Jean-Pierre Aubin, 1981. "Cooperative Fuzzy Games," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 1-13, February.
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.- Tido Takeng, Rodrigue, 2022. "Uncertain production environment and communication structure," Journal of Mathematical Economics, Elsevier, vol. 102(C).
- Fanyong Meng & Xiaohong Chen & Chunqiao Tan, 2016. "Cooperative fuzzy games with interval characteristic functions," Operational Research, Springer, vol. 16(1), pages 1-24, April.
- Yu-Hsien Liao, 2024. "Fuzzy Assessment Mechanisms under Multi-Objective Considerations," Mathematics, MDPI, vol. 12(19), pages 1-15, September.
- Hsien-Chung Wu, 2019. "Cores and dominance cores of cooperative games endowed with fuzzy payoffs," Fuzzy Optimization and Decision Making, Springer, vol. 18(2), pages 219-257, June.
- C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
- Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
- Fanyong Meng & Qiang Zhang & Xiaohong Chen, 2017. "Fuzzy Multichoice Games with Fuzzy Characteristic Functions," Group Decision and Negotiation, Springer, vol. 26(3), pages 565-595, May.
- Yu-Hsien Liao, 2013. "The Shapley value for fuzzy games: TU games approach," Economics Bulletin, AccessEcon, vol. 33(1), pages 192-197.
- Conrado M. Manuel & Daniel Martín, 2020. "A Monotonic Weighted Shapley Value," Group Decision and Negotiation, Springer, vol. 29(4), pages 627-654, August.
- Zijun Li & Fanyong Meng, 2023. "The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 387-414, September.
- van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2013.
"A strategic implementation of the Average Tree solution for cycle-free graph games,"
Journal of Economic Theory, Elsevier, vol. 148(6), pages 2737-2748.
- Rene van den Brink & Gerard van der Laan & Nigel Moes, 2012. "A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games," Tinbergen Institute Discussion Papers 12-050/1, Tinbergen Institute.
- Gomes, Armando & Hart, Sergiu & Mas-Colell, Andreu, 1999.
"Finite Horizon Bargaining and the Consistent Field,"
Games and Economic Behavior, Elsevier, vol. 27(2), pages 204-228, May.
- Armando Gomes & Sergiu Hart & Andreu Mas-Colell, 1997. "Finite Horizon Bargaining and the Consistent Field," Game Theory and Information 9705003, University Library of Munich, Germany.
- Armando Gomes & Sergiu Hart & Andreu Mas-Colell, 1997. "Finite horizon bargaining and the consistent field," Economics Working Papers 241, Department of Economics and Business, Universitat Pompeu Fabra.
- Dequiedt, Vianney & Zenou, Yves, 2017.
"Local and consistent centrality measures in parameterized networks,"
Mathematical Social Sciences, Elsevier, vol. 88(C), pages 28-36.
- Vianney Dequiedt & Yves Zenou, 2017. "Local and consistent centrality measures in parameterized networks," Post-Print halshs-01528908, HAL.
- Gerwald Gulick & Henk Norde, 2013.
"Fuzzy cores and fuzzy balancedness,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(2), pages 131-146, April.
- van Gulick, G. & Norde, H.W., 2011. "Fuzzy Cores and Fuzzy Balancedness," Discussion Paper 2011-062, Tilburg University, Center for Economic Research.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002.
"Convex Fuzzy Games and Participation Monotonic Allocation Schemes,"
Discussion Paper
2002-13, Tilburg University, Center for Economic Research.
- Brânzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2017. "Convex fuzzy games and participation monotonic allocation schemes," Center for Mathematical Economics Working Papers 332, Center for Mathematical Economics, Bielefeld University.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Convex Fuzzy Games and Participation Monotonic Allocation Schemes," Other publications TiSEM ad3fc093-38be-4802-aa35-a, Tilburg University, School of Economics and Management.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2003. "Convex fuzzy games and participation monotonic allocation schemes," Other publications TiSEM fbae679e-d7f4-4601-a785-1, Tilburg University, School of Economics and Management.
- Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004.
"Egalitarianism in convex fuzzy games,"
Mathematical Social Sciences, Elsevier, vol. 47(3), pages 313-325, May.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Egalitarianism in Convex Fuzzy Games," Other publications TiSEM ac1df841-5719-4f42-972b-b, Tilburg University, School of Economics and Management.
- Brânzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2017. "Egalitarianism in convex fuzzy games," Center for Mathematical Economics Working Papers 337, Center for Mathematical Economics, Bielefeld University.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "Egalitarianism in convex fuzzy games," Other publications TiSEM feab7e25-2f43-47e3-9658-b, Tilburg University, School of Economics and Management.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2002. "Egalitarianism in Convex Fuzzy Games," Discussion Paper 2002-97, Tilburg University, Center for Economic Research.
- René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
- Orshan, Gooni & Zarzuelo, Jose M., 2000. "The Bilateral Consistent Prekernel for NTU Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 67-84, July.
- Kongo, T. & Funaki, Y. & Tijs, S.H., 2007.
"New Axiomatizations and an Implementation of the Shapley Value,"
Discussion Paper
2007-90, Tilburg University, Center for Economic Research.
- Kongo, T. & Funaki, Y. & Tijs, S.H., 2007. "New Axiomatizations and an Implementation of the Shapley Value," Other publications TiSEM 107df6b1-8f85-478f-a820-d, Tilburg University, School of Economics and Management.
- Bas J. Dietzenbacher & Aleksei Y. Kondratev, 2023. "Fair and Consistent Prize Allocation in Competitions," Management Science, INFORMS, vol. 69(6), pages 3319-3339, June.
More about this item
Keywords
Fuzzy games; Reduction; Excess function; Axiomatization; Dynamic process;All these keywords.
Statistics
Access and download statisticsCorrections
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:fuzodm:v:16:y:2017:i:3:d:10.1007_s10700-016-9248-6. 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.