On three Shapley-like solutions for cooperative games with random payoffs
Author
Abstract
Suggested Citation
DOI: 10.1007/s001820400181
Download full text from publisher
As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.
Other versions of this item:
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000. "On Three Shapley-Like Solutions for Cooperative Games with Random Payoffs," Discussion Paper 2000-73, Tilburg University, Center for Economic Research.
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2003. "On three Shapley-like solutions for cooperative games with random payoffs," Other publications TiSEM 619397b2-51b9-42db-916c-9, Tilburg University, School of Economics and Management.
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000. "On Three Shapley-Like Solutions for Cooperative Games with Random Payoffs," Other publications TiSEM ecb22057-95be-42d9-b357-d, Tilburg University, School of Economics and Management.
References listed on IDEAS
- Judith Timmer & Peter Borm & Stef Tijs, 2005.
"Convexity In Stochastic Cooperative Situations,"
International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 25-42.
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000. "Convexity in Stochastic Cooperative Situations," Discussion Paper 2000-04, Tilburg University, Center for Economic Research.
- Timmer, J.B. & Borm, P.E.M. & Tijs, S.H., 2000. "Convexity in Stochastic Cooperative Situations," Other publications TiSEM 02a2e428-1933-4b8b-b89a-3, Tilburg University, School of Economics and Management.
- Borm, P.E.M. & Tijs, S.H. & Timmer, J.B., 2005. "Convexity in stochastic cooperative situations," Other publications TiSEM 26004fd5-1beb-4ddf-b73f-a, Tilburg University, School of Economics and Management.
- Suijs, J.P.M., 1996. "A Nucleolus for Stochastic Cooperative Games," Other publications TiSEM 44b162e7-85d3-4884-9261-0, Tilburg University, School of Economics and Management.
- Suijs, J.P.M., 1996. "A Nucleolus for Stochastic Cooperative Games," Discussion Paper 1996-90, Tilburg University, Center for Economic Research.
- 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.
- Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 23-38.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
- Elena Parilina & Stepan Akimochkin, 2021. "Cooperative Stochastic Games with Mean-Variance Preferences," Mathematics, MDPI, vol. 9(3), pages 1-15, January.
- Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003.
"Shapley-like values for interval bankruptcy games,"
Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
- Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2003. "Shapley-like values for interval bankruptcy games," Other publications TiSEM 55aabb66-74af-4980-b6eb-f, Tilburg University, School of Economics and Management.
- Judith Timmer, 2006. "The Compromise Value for Cooperative Games with Random Payoffs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 95-106, August.
- Timmer, J.B., 2000. "The Compromise Value for Cooperative Games with Random Payoffs," Discussion Paper 2000-98, Tilburg University, Center for Economic Research.
- Donald Nganmegni Njoya & Issofa Moyouwou & Nicolas Gabriel Andjiga, 2021. "The equal-surplus Shapley value for chance-constrained games on finite sample spaces," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 463-499, June.
- Timmer, J.B., 2000. "The Compromise Value for Cooperative Games with Random Payoffs," Other publications TiSEM 08aefe4e-00a8-4e58-9e54-3, Tilburg University, School of Economics and Management.
- Voorneveld, M. & Grahn, S., 2001.
"A Minimal Test for Convex Games and the Shapley Value,"
Papers
2001:02, Uppsala - Working Paper Series.
- Voorneveld, Mark & Grahn, Sofia, 2001. "A Minimal Test for Convex Games and the Shapley Value," Working Paper Series 2001:2, Uppsala University, Department of Economics.
- S. Alparslan Gök & R. Branzei & S. Tijs, 2010. "The interval Shapley value: an axiomatization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(2), pages 131-140, June.
- Guardiola, Luis A. & Meca, Ana & Puerto, Justo, 2023. "Allocating the surplus induced by cooperation in distribution chains with multiple suppliers and retailers," Journal of Mathematical Economics, Elsevier, vol. 108(C).
- Benati, Stefano & López-Blázquez, Fernando & Puerto, Justo, 2019. "A stochastic approach to approximate values in cooperative games," European Journal of Operational Research, Elsevier, vol. 279(1), pages 93-106.
- D. Bauso & J. Timmer, 2009. "Robust dynamic cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 23-36, March.
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 & 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.
- Manfred Besner, 2022. "Harsanyi support levels solutions," Theory and Decision, Springer, vol. 93(1), pages 105-130, July.
- Casajus, André, 2018. "Symmetry, mutual dependence, and the weighted Shapley values," Journal of Economic Theory, Elsevier, vol. 178(C), pages 105-123.
- Takaaki Abe & Satoshi Nakada, 2023. "Potentials and solutions of cooperative games with a fixed player set," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 757-774, September.
- Manfred Besner, 2020. "Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 851-873, September.
- Pierre Dehez, 2017.
"On Harsanyi Dividends and Asymmetric Values,"
International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
- Dehez, P., 2015. "On Harsanyi dividends and asymmetrid values," LIDAM Discussion Papers CORE 2015040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Pierre Dehez, 2017. "On Harsanyi dividends and asymmetric values," LIDAM Reprints CORE 2902, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Besner, Manfred, 2017. "Weighted Shapley levels values," MPRA Paper 82978, University Library of Munich, Germany.
- Yanovskaya, E. & Brânzei, R. & Tijs, S.H., 2008.
"Monotonicity Problems of Interval Solutions and the Dutta-Ray Solution for Convex Interval Games,"
Other publications TiSEM
22884fa9-68cc-4b67-8c27-2, Tilburg University, School of Economics and Management.
- Yanovskaya, E. & Brânzei, R. & Tijs, S.H., 2008. "Monotonicity Problems of Interval Solutions and the Dutta-Ray Solution for Convex Interval Games," Discussion Paper 2008-102, Tilburg University, Center for Economic Research.
- A. Ghintran & E. González-Arangüena & C. Manuel, 2012.
"A probabilistic position value,"
Annals of Operations Research, Springer, vol. 201(1), pages 183-196, December.
- Amandine Ghintran & Enrique Gonzalez-Arangüena & Conrado Manuel, 2010. "A probabilistic position value," Working Paper Series 1006, Óbuda University, Keleti Faculty of Business and Management.
- Amandine Ghintran & Enrique Gonzalez-Aranguena & Conrado Manuel, 2011. "A probabilistic position value," Working Papers hal-00988137, HAL.
- Besner, Manfred, 2019. "Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi payoff," MPRA Paper 92247, University Library of Munich, Germany.
- Casajus, André & Huettner, Frank, 2018. "Decomposition of solutions and the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 37-48.
- Besner, Manfred, 2022. "The grand surplus value and repeated cooperative cross-games with coalitional collaboration," Journal of Mathematical Economics, Elsevier, vol. 102(C).
- Besner, Manfred, 2021. "The grand dividends value," MPRA Paper 107615, University Library of Munich, Germany.
- Zhengxing Zou & Qiang Zhang, 2018. "Harsanyi power solution for games with restricted cooperation," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 26-47, January.
- Andr'e Casajus & Yukihiko Funaki & Frank Huettner, 2024. "Random partitions, potential, value, and externalities," Papers 2402.00394, arXiv.org, revised Jun 2024.
- R. Branzei & O. Branzei & S. Alparslan Gök & S. Tijs, 2010. "Cooperative interval games: a survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(3), pages 397-411, September.
- Karl Ortmann, 2013. "A cooperative value in a multiplicative model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(3), pages 561-583, September.
- 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.
More about this item
Keywords
Cooperative games; Random variables; Shapley value; C71;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:spr:jogath:v:32:y:2004:i:4:p:595-613. 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.