Potentials and solutions of cooperative games with a fixed player set
Author
Abstract
Suggested Citation
DOI: 10.1007/s00182-023-00839-2
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
- Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2016.
"Axiomatic characterizations under players nullification,"
Mathematical Social Sciences, Elsevier, vol. 80(C), pages 47-57.
- Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2015. "Axiomatic characterizations under players nullification," Working Papers 2015-06, CRESE.
- Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2016. "Axiomatic characterizations under players nullification," Post-Print halshs-01293700, HAL.
- Sylvain Béal & Eric Rémila & Philippe Solal & Sylvain Ferrières, 2016. "Axiomatic characterizations under players nullification," Working Papers hal-01376911, HAL.
- Béal, Sylvain & Casajus, André & Huettner, Frank & Rémila, Eric & Solal, Philippe, 2014.
"Solidarity within a fixed community,"
Economics Letters, Elsevier, vol. 125(3), pages 440-443.
- Sylvain Béal & André Casajus & Frank Huettner & Éric Rémila & Philippe Solal, 2014. "Solidarity within a Fixed Community," Post-Print halshs-01090487, HAL.
- Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April.
- Guillermo Owen, 1975. "Multilinear extensions and the banzhaf value," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 741-750, December.
- Casajus, André & Huettner, Frank, 2018. "Decomposition of solutions and the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 37-48.
- Satoshi Nakada, 2018. "A Shapley value representation of network potentials," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1151-1157, November.
- Calvo, Emilio & Santos, Juan Carlos, 1997. "Potentials in cooperative TU-games," Mathematical Social Sciences, Elsevier, vol. 34(2), pages 175-190, October.
- K. Ortmann, 1998. "Conservation of energy in value theory," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(3), pages 423-449, October.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
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.- Casajus, André, 2018. "Symmetry, mutual dependence, and the weighted Shapley values," Journal of Economic Theory, Elsevier, vol. 178(C), pages 105-123.
- Andr'e Casajus & Yukihiko Funaki & Frank Huettner, 2024. "Random partitions, potential of the Shapley value, and games with externalities," Papers 2402.00394, arXiv.org.
- Casajus, André, 2021. "Weakly balanced contributions and the weighted Shapley values," Journal of Mathematical Economics, Elsevier, vol. 94(C).
- Casajus, André & Huettner, Frank, 2015. "Potential, value, and the multilinear extension," Economics Letters, Elsevier, vol. 135(C), pages 28-30.
- Casajus, André, 2014. "Potential, value, and random partitions," Economics Letters, Elsevier, vol. 125(2), pages 164-166.
- Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.
- Francesc Carreras, 2004. "α -Decisiveness In Simple Games," Theory and Decision, Springer, vol. 56(1), pages 77-91, April.
- Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018.
"The proportional Shapley value and applications,"
Games and Economic Behavior, Elsevier, vol. 108(C), pages 93-112.
- Sylvain Béal & Sylvain Ferrières & Eric Rémila & Phillippe Solal, 2016. "The proportional Shapley value and an application," Working Papers 2016-08, CRESE.
- Philippe Solal & Sylvain Béal & Sylvain Ferrières & Éric Rémila, 2017. "The proportional Shapley value and applications," Post-Print halshs-01644830, HAL.
- Sylvain Béal & Éric Rémila & Philippe Solal & Sylvain Ferrières, 2018. "The proportional Shapley value and applications," Post-Print halshs-01612092, HAL.
- Sylvain Béal & Eric Rémila & Philippe Solal & Sylvain Ferrières, 2016. "The proportional Shapley value and an application," Working Papers hal-01362228, HAL.
- Casajus, André & Huettner, Frank, 2018. "Decomposition of solutions and the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 37-48.
- Casajus, André & Yokote, Koji, 2017. "Weak differential marginality and the Shapley value," Journal of Economic Theory, Elsevier, vol. 167(C), pages 274-284.
- Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
- Casajus, André & Huettner, Frank, 2018. "Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension," Economics Letters, Elsevier, vol. 164(C), pages 27-30.
- Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
- Gilles, R.P. & Sarangi, S., 2003.
"The Role of Trust in Costly Network Formation,"
Discussion Paper
2003-53, Tilburg University, Center for Economic Research.
- Sudipta Sarangi & Robert P. Gilles, 2004. "The Role of Trust in Costly Network Formation," Econometric Society 2004 North American Summer Meetings 483, Econometric Society.
- Gilles, R.P. & Sarangi, S., 2003. "The Role of Trust in Costly Network Formation," Other publications TiSEM e63c5a28-2b82-4503-8bdb-d, Tilburg University, School of Economics and Management.
- Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
- 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.
- van den Brink, J.R. & van der Laan, G., 1999.
"Potentials and Reduced Games for Share Functions,"
Other publications TiSEM
bb166cb9-4f1c-4e52-b4b9-0, Tilburg University, School of Economics and Management.
- van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.
- Rodrigue Tido Takeng & Arnold Cedrick Soh Voutsa & Kévin Fourrey, 2023. "Decompositions of inequality measures from the perspective of the Shapley–Owen value," Theory and Decision, Springer, vol. 94(2), pages 299-331, February.
- Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2016.
"Axiomatic characterizations under players nullification,"
Mathematical Social Sciences, Elsevier, vol. 80(C), pages 47-57.
- Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2015. "Axiomatic characterizations under players nullification," Working Papers 2015-06, CRESE.
- Sylvain Béal & Eric Rémila & Philippe Solal & Sylvain Ferrières, 2016. "Axiomatic characterizations under players nullification," Working Papers hal-01376911, HAL.
- Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2016. "Axiomatic characterizations under players nullification," Post-Print halshs-01293700, HAL.
- Gusev, Vasily V., 2021. "Nash-stable coalition partition and potential functions in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1180-1188.
More about this item
Keywords
Cooperative games; Efficiency; Potential function; Shapley 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:jogath:v:52:y:2023:i:3:d:10.1007_s00182-023-00839-2. 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.