On the axiomatic characterization of the coalitional multinomial probabilistic values
Author
Abstract
Suggested Citation
DOI: 10.1007/s11750-021-00603-3
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
- Amer, Rafael & Carreras, Francese & Gimenez, Jose Miguel, 2002. "The modified Banzhaf value for games with coalition structure: an axiomatic characterization," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 45-54, January.
- Francesc Carreras & María Albina Puente, 2018. "A note on multinomial probabilistic values," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 164-186, April.
- Dragan, Irinel, 1996. "New mathematical properties of the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 95(2), pages 451-463, December.
- Guillermo Owen, 1975. "Multilinear extensions and the banzhaf value," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 741-750, December.
- Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
- Josep Freixas & M. Puente, 2002. "Reliability Importance Measures of the Components in a System Based on Semivalues and Probabilistic Values," Annals of Operations Research, Springer, vol. 109(1), pages 331-342, January.
- Francesc Carreras & María Albina Puente, 2006. "A Parametric Family of Mixed Coalitional Values," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 323-339, Springer.
- Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.
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.- Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.
- Carreras, Francesc & Puente, María Albina, 2015. "Coalitional multinomial probabilistic values," European Journal of Operational Research, Elsevier, vol. 245(1), pages 236-246.
- Nicolas Andjiga & Sebastien Courtin, 2015. "Coalition configurations and share functions," Annals of Operations Research, Springer, vol. 225(1), pages 3-25, February.
- van den Brink, Rene & van der Laan, Gerard, 2005.
"A class of consistent share functions for games in coalition structure,"
Games and Economic Behavior, Elsevier, vol. 51(1), pages 193-212, April.
- van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Other publications TiSEM ba398b81-e24b-40d4-a281-7, Tilburg University, School of Economics and Management.
- van den Brink, J.R. & van der Laan, G., 2001. "A Class of Consistent Share Functions For Games in Coalition Structure," Discussion Paper 2001-33, Tilburg University, Center for Economic Research.
- René van den Brink & Gerard van der Laan, 2001. "A Class of Consistent Share Functions for Games in Coalition Structure," Tinbergen Institute Discussion Papers 01-044/1, Tinbergen Institute.
- Jilei Shi & Erfang Shan, 2021. "The Banzhaf value for generalized probabilistic communication situations," Annals of Operations Research, Springer, vol. 301(1), pages 225-244, June.
- Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.
- Francesc Carreras & María Albina Puente, 2018. "A note on multinomial probabilistic values," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 164-186, April.
- Carreras, Francesc & Giménez, José Miguel, 2011. "Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions," European Journal of Operational Research, Elsevier, vol. 211(1), pages 148-159, May.
- Carreras, Francesc & Llongueras, Maria Dolors & Puente, María Albina, 2009. "Partnership formation and binomial semivalues," European Journal of Operational Research, Elsevier, vol. 192(2), pages 487-499, January.
- Francesc Carreras, 2004. "α -Decisiveness In Simple Games," Theory and Decision, Springer, vol. 56(1), pages 77-91, April.
- Stefano Benati & Giuseppe Vittucci Marzetti, 2021. "Voting power on a graph connected political space with an application to decision-making in the Council of the European Union," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 733-761, November.
- Maurice Koster & Sascha Kurz & Ines Lindner & Stefan Napel, 2017.
"The prediction value,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 433-460, February.
- Maurice Koster & Sascha Kurz & Ines Lindner & Stefan Napel, 2013. "The Prediction Value," Tinbergen Institute Discussion Papers 13-188/II, Tinbergen Institute.
- Taylan Mavruk & Conny Overland & Stefan Sjögren, 2020. "Keeping it real or keeping it simple? Ownership concentration measures compared," European Financial Management, European Financial Management Association, vol. 26(4), pages 958-1005, September.
- Vidal-Puga, Juan, 2012.
"The Harsanyi paradox and the “right to talk” in bargaining among coalitions,"
Mathematical Social Sciences, Elsevier, vol. 64(3), pages 214-224.
- Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, University Library of Munich, Germany.
- Amer, Rafael & Giménez, José Miguel, 2008. "A general procedure to compute mixed modified semivalues for cooperative games with structure of coalition blocks," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 269-282, September.
- Margarita Domènech & José Miguel Giménez & María Albina Puente, 2020. "Some Properties for Bisemivalues on Bicooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 185(1), pages 270-288, April.
- 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.
- J. C. Gonçalves-Dosantos & I. García-Jurado & J. Costa & J. M. Alonso-Meijide, 2022. "Necessary players and values," Annals of Operations Research, Springer, vol. 318(2), pages 935-961, November.
- Pérez-Castrillo, David & Sun, Chaoran, 2021.
"Value-free reductions,"
Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
- David Pérez-Castrillo & Chaoran Sun, 2020. "Value-Free Reductions," Working Papers 1186, Barcelona School of Economics.
- Margarita Domènech & José Miguel Giménez & María Albina Puente, 2022. "Weak null, necessary defender and necessary detractor players: characterizations of the Banzhaf and the Shapley bisemivalues," Annals of Operations Research, Springer, vol. 318(2), pages 889-910, November.
More about this item
Keywords
(TU) cooperative game; Coalition structure; Shapley value; Multinomial probabilistic value;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:topjnl:v:30:y:2022:i:1:d:10.1007_s11750-021-00603-3. 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.