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An Axiomatic Approach to the Concept of Interaction Among Players in Cooperative Games

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Cited by:

  1. Mayag, Brice & Bouyssou, Denis, 2020. "Necessary and possible interaction between criteria in a 2-additive Choquet integral model," European Journal of Operational Research, Elsevier, vol. 283(1), pages 308-320.
  2. 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.
  3. Besner, Manfred, 2022. "Impacts of boycotts concerning the Shapley value and extensions," MPRA Paper 112620, University Library of Munich, Germany.
  4. Michel Grabisch & Agnieszka Rusinowska, 2009. "Measuring influence in command games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 177-209, August.
  5. Michel Grabisch & Christophe Labreuche, 2016. "Fuzzy Measures and Integrals in MCDA," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 553-603, Springer.
  6. Ulrich Faigle & Michel Grabisch, 2017. "Game Theoretic Interaction and Decision: A Quantum Analysis," Games, MDPI, vol. 8(4), pages 1-25, November.
  7. 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.
  8. 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.
  9. Grabisch, Michel & Rusinowska, Agnieszka, 2011. "Influence functions, followers and command games," Games and Economic Behavior, Elsevier, vol. 72(1), pages 123-138, May.
  10. Aleandri, M. & Dall’Aglio, M., 2025. "With a little help from my friends: Essentiality vs opportunity in group criticality," Mathematical Social Sciences, Elsevier, vol. 133(C), pages 13-22.
  11. Ulrich Faigle & Michel Grabisch, 2014. "Bases and Linear Transforms of Cooperation Systems," Documents de travail du Centre d'Economie de la Sorbonne 14010r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised May 2015.
  12. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2019. "Interaction indices for multichoice games," Documents de travail du Centre d'Economie de la Sorbonne 19019, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  13. Michel Grabisch & Christophe Labreuche, 2010. "A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid," Annals of Operations Research, Springer, vol. 175(1), pages 247-286, March.
  14. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August.
  15. Alon Kaufman & Alon Keinan & Isaac Meilijson & Martin Kupiec & Eytan Ruppin, 2005. "Quantitative Analysis of Genetic and Neuronal Multi-Perturbation Experiments," PLOS Computational Biology, Public Library of Science, vol. 1(6), pages 1-7, November.
  16. repec:dau:papers:123456789/4922 is not listed on IDEAS
  17. Mustapha Ridaoui & Michel Grabisch & Christophe Labreuche, 2018. "An axiomatisation of the Banzhaf value and interaction index for multichoices games," Post-Print halshs-01814977, HAL.
  18. Borgonovo, Emanuele & Plischke, Elmar & Rabitti, Giovanni, 2024. "The many Shapley values for explainable artificial intelligence: A sensitivity analysis perspective," European Journal of Operational Research, Elsevier, vol. 318(3), pages 911-926.
  19. Ulrich Faigle & Michel Grabisch, 2016. "Bases and linear transforms of TU-games and cooperation systems," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 875-892, November.
  20. Ramón Flores & Elisenda Molina & Juan Tejada, 2014. "Pyramidal values," Annals of Operations Research, Springer, vol. 217(1), pages 233-252, June.
  21. Fujimoto, Katsushige & Kojadinovic, Ivan & Marichal, Jean-Luc, 2006. "Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices," Games and Economic Behavior, Elsevier, vol. 55(1), pages 72-99, April.
  22. Liginlal, Divakaran & Ow, Terence T., 2005. "On policy capturing with fuzzy measures," European Journal of Operational Research, Elsevier, vol. 167(2), pages 461-474, December.
  23. Michel Grabisch & Agnieszka Rusinowska, 2010. "Different Approaches to Influence Based on Social Networks and Simple Games," Post-Print hal-00514850, HAL.
  24. Kedar Dhamdhere & Ashish Agarwal & Mukund Sundararajan, 2019. "The Shapley Taylor Interaction Index," Papers 1902.05622, arXiv.org, revised Feb 2020.
  25. Kojadinovic, Ivan, 2007. "A weight-based approach to the measurement of the interaction among criteria in the framework of aggregation by the bipolar Choquet integral," European Journal of Operational Research, Elsevier, vol. 179(2), pages 498-517, June.
  26. Li Huang & Jian-Zhang Wu & Rui-Jie Xi, 2020. "Nonadditivity Index Based Quasi-Random Generation of Capacities and Its Application in Comprehensive Decision Aiding," Mathematics, MDPI, vol. 8(2), pages 1-14, February.
  27. Alessio Bonetti & Silvia Bortot & Mario Fedrizzi & Silvio Giove & Ricardo Alberto Marques Pereira & Andrea Molinari, 2011. "Modelling group processes and effort estimation in Project Management using the Choquet integral: an MCDM approach," DISA Working Papers 2011/12, Department of Computer and Management Sciences, University of Trento, Italy, revised Sep 2011.
  28. Labreuche, Christophe, 2011. "Interaction indices for games on combinatorial structures with forbidden coalitions," European Journal of Operational Research, Elsevier, vol. 214(1), pages 99-108, October.
  29. Silvia Bortot & Mario Fedrizzi & Silvio Giove, 2011. "Modelling fraud detection by attack trees and Choquet integral," DISA Working Papers 2011/09, Department of Computer and Management Sciences, University of Trento, Italy, revised 31 Aug 2011.
  30. Grabisch, Michel & Labreuche, Christophe & Vansnick, Jean-Claude, 2003. "On the extension of pseudo-Boolean functions for the aggregation of interacting criteria," European Journal of Operational Research, Elsevier, vol. 148(1), pages 28-47, July.
  31. Billot, Antoine & Thisse, Jacques-Francois, 2005. "How to share when context matters: The Mobius value as a generalized solution for cooperative games," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1007-1029, December.
  32. Flores Díaz, Ramón Jesús & Molina, Elisenda & Tejada, Juan, 2013. "The Shapley group value," DES - Working Papers. Statistics and Econometrics. WS ws133430, Universidad Carlos III de Madrid. Departamento de Estadística.
  33. 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.
  34. Besner, Manfred, 2021. "Disjointly productive players and the Shapley value," MPRA Paper 108241, University Library of Munich, Germany.
  35. Ulrich Faigle & Michel Grabisch, 2014. "Linear Transforms, Values and Least Square Approximation for Cooperation Systems," Documents de travail du Centre d'Economie de la Sorbonne 14010, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  36. Sébastien Courtin & Rodrigue Tido Takeng & Frédéric Chantreuil, 2024. "Decomposition of interaction indices: alternative interpretations of cardinal–probabilistic interaction indices," Theory and Decision, Springer, vol. 97(1), pages 139-165, August.
  37. Piotr Kk{e}pczy'nski & Oskar Skibski, 2025. "Union Shapley Value: Quantifying Group Impact via Collective Removal," Papers 2505.21122, arXiv.org.
  38. Miklós Pintér, 2011. "Regression games," Annals of Operations Research, Springer, vol. 186(1), pages 263-274, June.
  39. Silvia Bortot & Ricardo Alberto Marques Pereira & Anastasia Stamatopoulou, 2020. "Shapley and superShapley aggregation emerging from consensus dynamics in the multicriteria Choquet framework," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 583-611, December.
  40. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
  41. Li, Shujin & Zhang, Qiang, 2009. "A simplified expression of the Shapley function for fuzzy game," European Journal of Operational Research, Elsevier, vol. 196(1), pages 234-245, July.
  42. Besner, Manfred, 2022. "Disjointly productive players and the Shapley value," Games and Economic Behavior, Elsevier, vol. 133(C), pages 109-114.
  43. Sébastien Courtin & Rodrigue Tido Takeng & Frédéric Chantreuil, 2020. "Decomposition of interaction indices: alternative interpretations of cardinal-probabilistic interaction indices," Working Papers hal-02952516, HAL.
  44. Besner, Manfred, 2022. "Impacts of boycotts concerning the Shapley value and extensions," Economics Letters, Elsevier, vol. 217(C).
  45. Ramón Flores & Elisenda Molina & Juan Tejada, 2019. "Evaluating groups with the generalized Shapley value," 4OR, Springer, vol. 17(2), pages 141-172, June.
  46. Marichal, Jean-Luc & Mathonet, Pierre, 2011. "Weighted Banzhaf power and interaction indexes through weighted approximations of games," European Journal of Operational Research, Elsevier, vol. 211(2), pages 352-358, June.
  47. Fabien Lange & Michel Grabisch, 2011. "New axiomatizations of the Shapley interaction index for bi-capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00625355, HAL.
  48. Honorata Sosnowska, 2014. "Banzhaf value for games analyzing voting with rotation," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 75-88.
  49. M Tavana, 2006. "A priority assessment multi-criteria decision model for human spaceflight mission planning at NASA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1197-1215, October.
  50. Silvia Bortot & Ricardo Alberto Marques Pereira, 2011. "Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process," DISA Working Papers 2011/06, Department of Computer and Management Sciences, University of Trento, Italy, revised 29 Jul 2011.
  51. Besner, Manfred, 2021. "Disjointly and jointly productive players and the Shapley value," MPRA Paper 108511, University Library of Munich, Germany.
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