The Shapley Value for Cooperative Games under Precedence Constraints

Citations

Cited by:

1. Monjardet, Bernard, 2003. "The presence of lattice theory in discrete problems of mathematical social sciences. Why," Mathematical Social Sciences, Elsevier, vol. 46(2), pages 103-144, October.
2. René van den Brink, 2017. "Games with a Permission Structure: a survey on generalizations and applications," Tinbergen Institute Discussion Papers 17-016/II, Tinbergen Institute.
3. Faigle, U. & Grabisch, M. & Heyne, M., 2010. "Monge extensions of cooperation and communication structures," European Journal of Operational Research, Elsevier, vol. 206(1), pages 104-110, October.
   • Ulrich Faigle & Michel Grabisch & Maximilian Heyne, 2010. "Monge extensions of cooperation and communication structures," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00625336, HAL.
   • Ulrich Faigle & Michel Grabisch & Maximilian Heyne, 2010. "Monge extensions of cooperation and communication structures," Post-Print hal-00625336, HAL.
4. Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Annals of Operations Research, Springer, vol. 204(1), pages 33-64, April.
   • Michel Grabisch, 2009. "The core of games on ordered structures and graphs," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445171, HAL.
   • Michel Grabisch, 2013. "The core of games on ordered structures and graphs," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00803233, HAL.
   • Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00803233, HAL.
   • Michel Grabisch, 2013. "The core of games on ordered structures and graphs," Post-Print hal-00803233, HAL.
   • Michel Grabisch, 2013. "The core of games on ordered structures and graphs," PSE-Ecole d'économie de Paris (Postprint) hal-00803233, HAL.
   • Michel Grabisch, 2009. "The core of games on ordered structures and graphs," Post-Print halshs-00445171, HAL.
5. Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 301-326, July.
   • Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Post-Print halshs-01412292, HAL.
   • Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Post-Print hal-01372858, HAL.
   • Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01372858, HAL.
   • Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01412292, HAL.
   • Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," PSE - Labex "OSE-Ouvrir la Science Economique" hal-01372858, HAL.
   • Michel Grabisch, 2016. "Remarkable polyhedra related to set functions, games and capacities," PSE-Ecole d'économie de Paris (Postprint) hal-01372858, HAL.
6. Lijue Xie & Michel Grabisch, 2009. "The core of games on k-regular set systems," Post-Print halshs-00423922, HAL.
   • Lijue Xie & Michel Grabisch, 2009. "The core of games on k-regular set systems," Documents de travail du Centre d'Economie de la Sorbonne 09055, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Oct 2009.
   • Lijue Xie & Michel Grabisch, 2009. "The core of games on k-regular set systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00423922, HAL.
7. Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," Post-Print hal-01302377, HAL.
   • Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," PSE-Ecole d'économie de Paris (Postprint) hal-01302377, HAL.
   • Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01302377, HAL.
   • Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," Post-Print hal-01477514, HAL.
   • Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," PSE-Ecole d'économie de Paris (Postprint) hal-01477514, HAL.
   • Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01477514, HAL.
8. M. Álvarez-Mozos & R. Brink & G. Laan & O. Tejada, 2017. "From hierarchies to levels: new solutions for games with hierarchical structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1089-1113, November.
   • Mikel Álvarez-Mozos & Rene van den Brink & Gerard van der Laan & Oriol Tejada, 2015. "From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure," CER-ETH Economics working paper series 15/215, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
9. Lange, Fabien & Grabisch, Michel, 2009. "Values on regular games under Kirchhoff's laws," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 322-340, November.
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   • Fabien Lange & Michel Grabisch, 2009. "Values on regular games under Kirchhoff's laws," Post-Print halshs-00496553, HAL.
   • Fabien Lange & Michel Grabisch, 2006. "Values on regular games under Kirchhoff's laws," Cahiers de la Maison des Sciences Economiques b06087, Université Panthéon-Sorbonne (Paris 1).
   • Fabien Lange & Michel Grabisch, 2006. "Values on regular games under Kirchhoff’s laws," Working Paper Series 0807, Óbuda University, Keleti Faculty of Business and Management, revised Nov 2008.
   • Fabien Lange & Michel Grabisch, 2006. "Values on regular games under Kirchhoff's laws," Post-Print halshs-00130449, HAL.
   • Fabien Lange & Michel Grabisch, 2009. "Values on regular games under Kirchhoff's laws," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00496553, HAL.
10. Michel Grabisch & Tomáš Kroupa, 2018. "The cone of supermodular games on finite distributive lattices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01821712, HAL.
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    • Michel Grabisch & Tomáš Kroupa, 2019. "The cone of supermodular games on finite distributive lattices," PSE-Ecole d'économie de Paris (Postprint) halshs-02381019, HAL.
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    • Michel Grabisch & Tomáš Kroupa, 2018. "The cone of supermodular games on finite distributive lattices," Post-Print halshs-01821712, HAL.
    • Michel Grabisch & Tomáš Kroupa, 2018. "The core of supermodular games on finite distributive lattices," Documents de travail du Centre d'Economie de la Sorbonne 18010, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
11. Subhadip Chakrabarti & Amandine Ghintran & Rajnish Kumar, 2019. "Assignment of heterogeneous agents in trees under the permission value," Review of Economic Design, Springer;Society for Economic Design, vol. 23(3), pages 155-188, December.
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12. Herings, P. Jean-Jacques & van der Laan, Gerard & Talman, Dolf, 2007. "The socially stable core in structured transferable utility games," Games and Economic Behavior, Elsevier, vol. 59(1), pages 85-104, April.
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    • Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2007. "The socially stable core in structured transferable utility games," Other publications TiSEM 28c8ea20-8a66-4d9e-b054-8, Tilburg University, School of Economics and Management.
    • Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2004. "The socially stable core in structured transferable utility games," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2004. "The Socially Stable Core in Structured Transferable Utility Games," Other publications TiSEM 991b92f6-3cd4-4567-bc6f-1, Tilburg University, School of Economics and Management.
    • Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2004. "The Socially Stable Core in Structured Transferable Utility Games," Discussion Paper 2004-51, Tilburg University, Center for Economic Research.
13. Michel Grabisch, 2011. "Ensuring the boundedness of the core of games with restricted cooperation," Annals of Operations Research, Springer, vol. 191(1), pages 137-154, November.
    • Michel Grabisch, 2010. "Ensuring the boundedness of the core of games with restricted cooperation," Documents de travail du Centre d'Economie de la Sorbonne 10093, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Michel Grabisch, 2011. "Ensuring the boundedness of the core of games with restricted cooperation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00650964, HAL.
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14. Michel Grabisch & Lijue Xie, 2008. "The core of games on distributive lattices: how to share benefits in a hierarchy," Post-Print halshs-00344802, HAL.
    • Michel Grabisch & Lijue Xie, 2008. "The core of games on distributive lattices: how to share benefits in a hierarchy," Documents de travail du Centre d'Economie de la Sorbonne b08077, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Sep 2009.
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15. Richard Baron & Sylvain Béal & Eric Rémila & Philippe Solal, 2011. "Average tree solutions and the distribution of Harsanyi dividends," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 331-349, May.
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16. Koshevoy, Gleb & Talman, Dolf, 2014. "Solution concepts for games with general coalitional structure," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 19-30.
17. Michel Grabisch & Fabien Lange, 2007. "Games on lattices, multichoice games and the shapley value: a new approach," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(1), pages 153-167, February.
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    • Michel Grabisch & Fabien Lange, 2007. "Games on lattices, multichoice games and the Shapley value: a new approach," Post-Print halshs-00178916, HAL.
18. E. C. Gavilán & C. Manuel & R. Brink, 2023. "Directed communication in games with directed graphs," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 584-617, October.
19. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Tvede, Mich & Østerdal, Lars Peter, 2017. "Sharing the proceeds from a hierarchical venture," Games and Economic Behavior, Elsevier, vol. 102(C), pages 98-110.
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    • Hougaard, J. & Moreno-Ternero, J. & Tvede, M. & Osterdal, L., 2015. "Sharing the proceeds from a hierarchical venture," LIDAM Discussion Papers CORE 2015031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    • Jens Leth HOUGAARD & Juan D. MORENO-TERNERO & Mich TVEDE & Lars Peter OSTERDAL, 2017. "Sharing the proceeds from a hierarchical venture," LIDAM Reprints CORE 2828, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
20. Grabisch, Michel & Sudhölter, Peter, 2014. "On the restricted cores and the bounded core of games on distributive lattices," European Journal of Operational Research, Elsevier, vol. 235(3), pages 709-717.
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    • Michel Grabisch & Peter Sudhölter, 2014. "On the restricted cores and the bounded core of games on distributive lattices," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00950109, HAL.
    • Michel Grabisch & Peter Sudhölter, 2012. "On the restricted cores and the bounded core of games on distributive lattices," Post-Print halshs-00748331, HAL.
    • Grabisch, Michel & Sudhölter, Peter, 2012. "On the restricted cores and the bounded core of games on distributive lattices," Discussion Papers on Economics 22/2012, University of Southern Denmark, Department of Economics.
    • Michel Grabisch & Peter Sudhölter, 2014. "On the restricted cores and the bounded core of games on distributive lattices," Post-Print halshs-00950109, HAL.
    • Michel Grabisch & Peter Sudhölter, 2014. "On the restricted cores and the bounded core of games on distributive lattices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00950109, HAL.
    • Michel Grabisch & Peter Sudhölter, 2014. "On the restricted cores and the bounded core of games on distributive lattices," PSE-Ecole d'économie de Paris (Postprint) halshs-00950109, HAL.
    • Michel Grabisch & Peter Sudhölter, 2012. "On the restricted cores and the bounded core of games on distributive lattices," Documents de travail du Centre d'Economie de la Sorbonne 12067, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
21. René Brink & P. Herings & Gerard Laan & A. Talman, 2015. "The Average Tree permission value for games with a permission tree," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 99-123, January.
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    • van den Brink, R. & van der Laan, G. & Herings, P.J.J. & Talman, A.J.J., 2015. "The Average Tree permission value for games with a permission tree," Other publications TiSEM 97042492-4b03-4e72-b88d-d, Tilburg University, School of Economics and Management.
    • van den Brink, J.R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The average tree permission value for games with a permission tree," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    • van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Discussion Paper 2013-001, Tilburg University, Center for Economic Research.
    • van den Brink, R. & Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2013. "The Average Tree Permission Value for Games with a Permission Tree," Other publications TiSEM 7f82484a-b6d8-4d2e-90cb-8, Tilburg University, School of Economics and Management.
22. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
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23. Baron, Richard & Béal, Sylvain & Remila, Eric & Solal, Philippe, 2008. "Average tree solutions for graph games," MPRA Paper 10189, University Library of Munich, Germany.
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24. Stern, Ari & Tettenhorst, Alexander, 2019. "Hodge decomposition and the Shapley value of a cooperative game," Games and Economic Behavior, Elsevier, vol. 113(C), pages 186-198.
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26. Grabisch, Michel & Sudhölter, Peter, 2018. "On a class of vertices of the core," Games and Economic Behavior, Elsevier, vol. 108(C), pages 541-557.
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    • Michel Grabisch & Peter Sudhölter, 2018. "On a class of vertices of the core," PSE-Ecole d'économie de Paris (Postprint) hal-02043275, HAL.
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27. László Á. Kóczy, 2016. "Power Indices When Players can Commit to Reject Coalitions," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(1), pages 77-91, August.
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30. Sylvain Béal & Sylvain Ferrières & Philippe Solal, 2022. "The priority value for cooperative games with a priority structure," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 431-450, June.
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    • Michel Grabisch & Peter Sudhölter, 2012. "The Bounded Core for Games with Precedence Constraints," Post-Print hal-00759893, HAL.
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33. Koshevoy, G.A. & Suzuki, T. & Talman, A.J.J., 2013. "Solutions For Games With General Coalitional Structure And Choice Sets," Other publications TiSEM a831011f-430e-4e82-b6f6-5, Tilburg University, School of Economics and Management.
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34. Michel Grabisch, 2006. "Capacities and Games on Lattices: A Survey of Result," Post-Print halshs-00179830, HAL.
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35. Béal, Sylvain & Moyouwou, Issofa & Rémila, Eric & Solal, Philippe, 2020. "Cooperative games on intersection closed systems and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 15-22.
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36. Ulrich Faigle & Michel Grabisch & Andres Jiménez-Losada & Manuel Ordóñez, 2014. "Games on concept lattices: Shapley value and core," Documents de travail du Centre d'Economie de la Sorbonne 14070, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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