Differential marginality, van den Brink fairness, and the Shapley value
Author
Abstract
Suggested Citation
DOI: 10.1007/s11238-009-9171-1
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
- 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.
- van den Brink, Rene, 2007. "Null or nullifying players: The difference between the Shapley value and equal division solutions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 767-775, September.
- Nowak, Andrzej S & Radzik, Tadeusz, 1994. "A Solidarity Value for n-Person Transferable Utility Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 43-48.
- 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.- René Brink & Yukihiko Funaki, 2009. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games," Theory and Decision, Springer, vol. 67(3), pages 303-340, September.
- Casajus, André & Huettner, Frank, 2014. "Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value," Economics Letters, Elsevier, vol. 122(2), pages 167-169.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2015.
"Axioms of invariance for TU-games,"
International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 891-902, November.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Axioms of invariance for TU-games," MPRA Paper 41530, University Library of Munich, Germany.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2015. "Axioms of Invariance for TU-games," Post-Print halshs-01096552, HAL.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Axioms of Invariance for TU-games," Working Papers 2012-01, CRESE.
- Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 81-98, July.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2013.
"A Decomposition of the Space of TU-games Using Addition and Transfer Invariance,"
Working Papers
2013-08, CRESE.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2015. "A Decomposition of the Space of TU-games Using Addition and Transfer Invariance," Post-Print halshs-01096559, HAL.
- 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.
- 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.
- Sylvain Béal & Mostapha Diss & Rodrigue Tido Takeng, 2024.
"New axiomatizations of the Diversity Owen and Shapley values,"
Working Papers
2024-09, CRESE.
- Sylvain Béal & Mostapha Diss & Rodrigue Tido Takeng, 2024. "New axiomatisations of the Diversity Owen and Shapley values," Working Papers hal-04502031, HAL.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015.
"Preserving or removing special players: What keeps your payoff unchanged in TU-games?,"
Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
- Sylvain Béal & Eric Rémila & Philippe Solal, 2013. "Preserving or removing special players: what keeps your payoff unchanged in TU-games?," Working Papers 2013-09, CRESE.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Post-Print halshs-01090493, HAL.
- René Brink & Youngsub Chun, 2012.
"Balanced consistency and balanced cost reduction for sequencing problems,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
- Rene van den Brink & Youngsub Chun, 2010. "Balanced Consistency and Balanced Cost Reduction for Sequencing Problems," Tinbergen Institute Discussion Papers 10-035/1, Tinbergen Institute.
- Zou, Zhengxing & van den Brink, René, 2020.
"Equal loss under separatorization and egalitarian values,"
Economics Letters, Elsevier, vol. 194(C).
- Zhengxing Zou & Rene van den Brink, 2020. "Equal Loss under Separatorization and Egalitarian Values," Tinbergen Institute Discussion Papers 20-043/II, Tinbergen Institute.
- Casajus, André & Huettner, Frank, 2014. "Weakly monotonic solutions for cooperative games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 162-172.
- Miklos Pinter & Anna Radvanyi, 2012. "The Shapley value for shortest path games," CERS-IE WORKING PAPERS 1224, Institute of Economics, Centre for Economic and Regional Studies.
- Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2016.
"A new basis and the Shapley value,"
Mathematical Social Sciences, Elsevier, vol. 80(C), pages 21-24.
- Koji Yokote & Yukihiko Funaki & Yoshio Kamijo, 2015. "A new basis and the Shapley value," Working Papers 1418, Waseda University, Faculty of Political Science and Economics.
- Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
- Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 197-212, August.
- Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
- Emilio Calvo Ramón & Esther Gutiérrez-López, 2022. "The equal collective gains value in cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 249-278, March.
- Dhrubajit Choudhury & Surajit Borkotokey & Rajnish Kumar & Sudipta Sarangi, 2021. "The Egalitarian Shapley value: a generalization based on coalition sizes," Annals of Operations Research, Springer, vol. 301(1), pages 55-63, June.
- Lee, Joosung & Driessen, Theo S.H., 2012. "Sequentially two-leveled egalitarianism for TU games: Characterization and application," European Journal of Operational Research, Elsevier, vol. 220(3), pages 736-743.
More about this item
Keywords
TU game; Superadditive game; Additivity; Solidarity; Convex cone;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:kap:theord:v:71:y:2011:i:2:p:163-174. 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.