New axiomatisations of the Diversity Owen and Shapley values
Author
Abstract
Suggested Citation
Note: View the original document on HAL open archive server: https://hal.science/hal-04502031v1
Download full text from publisher
Other versions of this item:
- Sylvain Béal & Mostapha Diss & Rodrigue Tido Takeng, 2024. "New axiomatizations of the Diversity Owen and Shapley values," Working Papers 2024-09, CRESE.
References listed on IDEAS
- René van den Brink, 2002.
"An axiomatization of the Shapley value using a fairness property,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 309-319.
- van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Discussion Paper 1999-120, Tilburg University, Center for Economic Research.
- Chun, Youngsub, 1991. "On the Symmetric and Weighted Shapley Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(2), pages 183-190.
- Roger B. Myerson, 1977.
"Graphs and Cooperation in Games,"
Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
- Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- André Casajus, 2010. "Another characterization of the Owen value without the additivity axiom," Theory and Decision, Springer, vol. 69(4), pages 523-536, October.
- AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Anna Khmelnitskaya & Elena Yanovskaya, 2007. "Owen coalitional value without additivity axiom," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(2), pages 255-261, October.
- Xun-Feng Hu, 2021. "New axiomatizations of the Owen value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 585-603, June.
- Chun, Youngsub, 1989. "A new axiomatization of the shapley value," Games and Economic Behavior, Elsevier, vol. 1(2), pages 119-130, June.
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.- Béal, Sylvain & Deschamps, Marc & Diss, Mostapha & Tido Takeng, Rodrigue, 2025.
"Cooperative games with diversity constraints,"
Journal of Mathematical Economics, Elsevier, vol. 116(C).
- Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers hal-04447373, HAL.
- Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers 2024-06, CRESE.
- Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2025. "Cooperative games with diversity constraints," Post-Print hal-04834011, HAL.
- Xun-Feng Hu, 2021. "New axiomatizations of the Owen value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 585-603, June.
- André Casajus & Rodrigue Tido Takeng, 2022. "Second-order productivity, second-order payoffs, and the Owen value," Post-Print hal-03798448, HAL.
- André Casajus & Rodrigue Tido Takeng, 2023. "Second-order productivity, second-order payoffs, and the Owen value," Annals of Operations Research, Springer, vol. 320(1), pages 1-13, January.
- Besner, Manfred, 2018. "The weighted Shapley support levels values," MPRA Paper 87617, University Library of Munich, Germany.
- Besner, Manfred, 2017. "Weighted Shapley levels values," MPRA Paper 82978, University Library of Munich, Germany.
- van den Brink, J.R., 1999. "An Axiomatization of the Shapley Value Using a Fairness Property," Other publications TiSEM 0090365c-9bab-4367-b660-5, Tilburg University, School of Economics and Management.
- van den Brink, René & Pintér, Miklós, 2015.
"On axiomatizations of the Shapley value for assignment games,"
Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 110-114.
- Rene van den Brink & Miklos Pinter, 2012. "On Axiomatizations of the Shapley Value for Assignment Games," Tinbergen Institute Discussion Papers 12-092/II, Tinbergen Institute.
- Wenrong Lyu & Erfang Shan & Zeguang Cui, 2024. "Consistency of the Owen value for TU-games with coalition and graph structures," Annals of Operations Research, Springer, vol. 338(2), pages 991-1017, July.
- C. Manuel & E. González-Arangüena & R. Brink, 2013.
"Players indifferent to cooperate and characterizations of the Shapley value,"
Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(1), pages 1-14, February.
- Conrado Manuel & Enrique Gonzalez-Aranguena & Rene van den Brink|, 2012. "Players Indifferent to cooperate and Characterizations of the Shapley Value," Tinbergen Institute Discussion Papers 12-036/1, Tinbergen Institute.
- Manfred Besner, 2022. "Harsanyi support levels solutions," Theory and Decision, Springer, vol. 93(1), pages 105-130, July.
- Silvia Lorenzo-Freire, 2017. "New characterizations of the Owen and Banzhaf–Owen values using the intracoalitional balanced contributions property," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 579-600, October.
- Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
- Takaaki Abe & Satoshi Nakada, 2019. "The weighted-egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 197-213, February.
- Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.
- Oishi, Takayuki & Nakayama, Mikio & Hokari, Toru & Funaki, Yukihiko, 2016. "Duality and anti-duality in TU games applied to solutions, axioms, and axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 44-53.
- Xinjuan Chen & Minghua Zhan & Zhihui Zhao, 2024. "A characterization of the Owen value via sign symmetries," Theory and Decision, Springer, vol. 97(3), pages 553-561, November.
- Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
- Tejada, O. & Álvarez-Mozos, M., 2018. "Graphs and (levels of) cooperation in games: Two ways how to allocate the surplus," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 114-122.
- Joosung Lee, 2015. "Multilateral Bargaining in Networks: On the Prevalence of Inefficiencies," Working Papers 2015.53, Fondazione Eni Enrico Mattei.
More about this item
Keywords
TU-games; diversity constraints; axiomatic characterization; Diversity Shapley value; Diversity Owen value;All these keywords.
JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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:hal:wpaper:hal-04502031. 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: CCSD (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.