Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion

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Cited by:

1. Pedro Miranda & Michel Grabisch, 2012. "An algorithm for finding the vertices of the k-additive monotone core," Post-Print hal-00806905, HAL.
   • Pedro Miranda & Michel Grabisch, 2012. "An algorithm for finding the vertices of the k-additive monotone core," PSE-Ecole d'économie de Paris (Postprint) hal-00806905, HAL.
   • Pedro Miranda & Michel Grabisch, 2012. "An algorithm for finding the vertices of the k-additive monotone core," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00806905, HAL.
2. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445132, HAL.
   • Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A characterization of the 2-additive Choquet integral through cardinal information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00625708, HAL.
   • Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A characterization of the 2-additive Choquet integral through cardinal information," Post-Print halshs-00625708, HAL.
   • Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Post-Print halshs-00445132, HAL.
3. Lehrer, Ehud, 2005. "Updating non-additive probabilities-- a geometric approach," Games and Economic Behavior, Elsevier, vol. 50(1), pages 42-57, January.
   • Ehud Lehrer, 2004. "Updating Non-Additive Probabilities -- A Geometric Approach," Game Theory and Information 0405010, University Library of Munich, Germany.
4. Kolesárová, Anna & Li, Jun & Mesiar, Radko, 2018. "k-additive aggregation functions and their characterization," European Journal of Operational Research, Elsevier, vol. 265(3), pages 985-992.
5. Grabisch, Michel & Kojadinovic, Ivan & Meyer, Patrick, 2008. "A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package," European Journal of Operational Research, Elsevier, vol. 186(2), pages 766-785, April.
   • Michel Grabisch & Ivan Kojadinovic & Patrick Meyer, 2008. "A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00187175, HAL.
   • Michel Grabisch & Ivan Kojadinovic & Patrick Meyer, 2008. "A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package," Post-Print halshs-00187175, HAL.
6. Miranda, Pedro & Grabisch, Michel & Gil, Pedro, 2006. "Dominance of capacities by k-additive belief functions," European Journal of Operational Research, Elsevier, vol. 175(2), pages 912-930, December.
   • Pedro Miranda & Michel Grabisch & Pedro Gil, 2006. "Dominance of capacities by k-additive belief functions," Post-Print halshs-00186905, HAL.
   • Pedro Miranda & Michel Grabisch & Pedro Gil, 2006. "Dominance of capacities by k-additive belief functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00186905, HAL.
7. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A representation of preferences by the Choquet integral with respect to a 2-additive capacity," Theory and Decision, Springer, vol. 71(3), pages 297-324, September.
   • Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00625706, HAL.
   • Brice Mayag & Michel Grabisch & Christophe Labreuche, 2011. "A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity," Post-Print halshs-00625706, HAL.
8. Jean-Yves Jaffray & Philippe Mongin, 2003. "Constrained egalitarianism in a simple redistributive model," Theory and Decision, Springer, vol. 54(1), pages 33-56, February.
   • J.- Y. Jaffray & Ph. Mongin, 1998. "Constrained egalitarianism in a simple redistributive model," THEMA Working Papers 98-37, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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9. Stéphane Gonzalez & Michel Grabisch, 2015. "Preserving coalitional rationality for non-balanced games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 733-760, August.
   • Stéphane Gonzalez & Michel Grabisch, 2012. "Preserving coalitional rationality for non-balanced games," Documents de travail du Centre d'Economie de la Sorbonne 12022, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
   • Stéphane Gonzalez & Michel Grabisch, 2015. "Preserving coalitional rationality for non-balanced games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01235625, HAL.
   • Stéphane Gonzalez & Michel Grabisch, 2012. "Preserving coalitional rationality for non-balanced games," Documents de travail du Centre d'Economie de la Sorbonne 12022r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Apr 2013.
   • Stéphane Gonzalez & Michel Grabisch, 2012. "Preserving coalitional rationality for non-balanced games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00718358, HAL.
   • Stéphane Gonzalez & Michel Grabisch, 2015. "Preserving coalitional rationality for non-balanced games," PSE-Ecole d'économie de Paris (Postprint) halshs-01235625, HAL.
   • Stéphane Gonzalez & Michel Grabisch, 2012. "Preserving coalitional rationality for non-balanced games," Post-Print halshs-00718358, HAL.
   • Stéphane Gonzalez & Michel Grabisch, 2015. "Preserving coalitional rationality for non-balanced games," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-01235625, HAL.
   • Stéphane Gonzalez & Michel Grabisch, 2015. "Preserving coalitional rationality for non-balanced games," Post-Print halshs-01235625, HAL.
10. Miranda, Pedro & Grabisch, Michel, 2010. "k-Balanced games and capacities," European Journal of Operational Research, Elsevier, vol. 200(2), pages 465-472, January.
    • Pedro Miranda & Michel Grabisch, 2008. "K-balanced games and capacities," Post-Print halshs-00344809, HAL.
    • Pedro Miranda & Michel Grabisch, 2010. "k-balanced games and capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445073, HAL.
    • Pedro Miranda & Michel Grabisch, 2008. "K-balanced games and capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344809, HAL.
    • Pedro Miranda & Michel Grabisch, 2008. "K-balanced games and capacities," Documents de travail du Centre d'Economie de la Sorbonne b08079, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Pedro Miranda & Michel Grabisch, 2010. "k-balanced games and capacities," Post-Print halshs-00445073, HAL.
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    • 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.
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    • Michel Grabisch, 2016. "Bases and transforms of set functions," Documents de travail du Centre d'Economie de la Sorbonne 16078, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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