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Null players, solidarity, and the egalitarian Shapley values

Citations

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Cited by:

  1. David Lowing & Kevin Techer, 2022. "Marginalism, egalitarianism and efficiency in multi-choice games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 815-861, November.
  2. Zaremba Leszek & Zaremba Cezary S. & Suchenek Marek, 2017. "Modification of Shapley Value and its Implementation in Decision Making," Foundations of Management, Sciendo, vol. 9(1), pages 257-272, October.
  3. Casajus, André & Huettner, Frank, 2014. "On a class of solidarity values," European Journal of Operational Research, Elsevier, vol. 236(2), pages 583-591.
  4. Borkotokey, Surajit & Choudhury, Dhrubajit & Kumar, Rajnish & Sarangi, Sudipta, 2020. "Consolidating Marginalism and Egalitarianism: A New Value for Transferable Utility Games," QBS Working Paper Series 2020/12, Queen's University Belfast, Queen's Business School.
  5. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2021. "Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations," Annals of Operations Research, Springer, vol. 302(1), pages 23-47, July.
  6. Takumi Kongo, 2024. "Equal support from others for unproductive players: efficient and linear values that satisfy the equal treatment and weak null player out properties for cooperative games," Annals of Operations Research, Springer, vol. 338(2), pages 973-989, July.
  7. Niharika Kakoty & Surajit Borkotokey & Rajnish Kumar & Abhijit Bora, 2024. "Weighted Myerson value for Network games," Papers 2402.11464, arXiv.org.
  8. Sylvain Béal & Eric Rémila & Philippe Solal, 2015. "A Class of Solidarity Allocation Rules for TU-games," Working Papers 2015-03, CRESE.
  9. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2020. "Allocating extra revenues from broadcasting sports leagues," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 65-73.
  10. Surajit Borkotokey & Sujata Goala & Niharika Kakoty & Parishmita Boruah, 2022. "The component-wise egalitarian Myerson value for Network Games," Papers 2201.02793, arXiv.org.
  11. Casajus, André & Yokote, Koji, 2017. "Weak differential marginality and the Shapley value," Journal of Economic Theory, Elsevier, vol. 167(C), pages 274-284.
  12. Ramón Flores & Elisenda Molina & Juan Tejada, 2014. "Pyramidal values," Annals of Operations Research, Springer, vol. 217(1), pages 233-252, June.
  13. Mustika, Alyssa Diva & Rigo-Mariani, Rémy & Debusschere, Vincent & Pachurka, Amaury, 2022. "A two-stage management strategy for the optimal operation and billing in an energy community with collective self-consumption," Applied Energy, Elsevier, vol. 310(C).
  14. Tadeusz Radzik, 2017. "On an extension of the concept of TU-games and their values," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(1), pages 149-170, August.
  15. Takaaki Abe & Satoshi Nakada, 2023. "Core stability of the Shapley value for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(4), pages 523-543, May.
  16. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Monotonicity in sharing the revenues from broadcasting sports leagues," European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
  17. Dhrubajit Choudhury & Surajit Borkotokey & Rajnish Kumar & Sudipta Sarangi, 2021. "The Egalitarian Shapley value: a generalization based on coalition sizes," Annals of Operations Research, Springer, vol. 301(1), pages 55-63, June.
  18. Sylvain Béal & Eric Rémila & Philippe Solal, 2019. "Coalitional desirability and the equal division value," Theory and Decision, Springer, vol. 86(1), pages 95-106, February.
  19. Tadeusz Radzik & Theo Driessen, 2016. "Modeling values for TU-games using generalized versions of consistency, standardness and the null player property," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(2), pages 179-205, April.
  20. José-Manuel Giménez-Gómez & Josep E Peris & Begoña Subiza, 2020. "An egalitarian approach for sharing the cost of a spanning tree," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-14, July.
  21. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Theory and Decision, Springer, vol. 83(1), pages 61-94, June.
  22. Sylvain Béal & Sylvain Ferrières & Adriana Navarro‐Ramos & Philippe Solal, 2023. "Axiomatic characterizations of the family of Weighted priority values," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 787-816, December.
  23. Sylvain Béal & Adriana Navarro-Ramos & Eric Rémila & Philippe Solal, 2025. "Sharing the cost of hazardous transportation networks and the Priority Shapley value for multi-choice games," Annals of Operations Research, Springer, vol. 345(1), pages 59-103, February.
  24. G. Bergantiños & Juan D. Moreno-Ternero, 2024. "Anonymity in sharing the revenues from broadcasting sports leagues," Annals of Operations Research, Springer, vol. 336(3), pages 1395-1417, May.
  25. Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2023. "Order preservation with dummies in the musseum pass problem," Papers 2307.00622, arXiv.org.
  26. Dinko Dimitrov & Ching-jen Sun, 2025. "Blend-in fairness and equal split," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(2), pages 1-21, December.
  27. André Casajus & Koji Yokote, 2019. "Weakly differentially monotonic solutions for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 979-997, September.
  28. Zijun Li & Fanyong Meng, 2023. "The α-Egalitarian Myerson value of games with communication structure," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 311-338, June.
  29. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2021. "Correction to: Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values," Theory and Decision, Springer, vol. 91(1), pages 99-99, July.
  30. Abe, Takaaki & Nakada, Satoshi, 2023. "The in-group egalitarian Owen values," Games and Economic Behavior, Elsevier, vol. 142(C), pages 1-16.
  31. Borkotokey, Surajit & Choudhury, Dhrubajit & Gogoi, Loyimee & Kumar, Rajnish, 2020. "Group contributions in TU-games: A class of k-lateral Shapley values," European Journal of Operational Research, Elsevier, vol. 286(2), pages 637-648.
  32. Zeguang Cui & Erfang Shan & Wenrong Lyu, 2024. "Differential marginality, inessential games and convex combinations of values," Theory and Decision, Springer, vol. 96(3), pages 463-475, May.
  33. David Lowing & Kevin Techer, 2021. "Marginalism, Egalitarianism and E ciency in Multi-Choice Games," Working Papers halshs-03334056, HAL.
  34. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2015. "Preserving or removing special players: What keeps your payoff unchanged in TU-games?," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 23-31.
  35. Surajit Borkotokey & Loyimee Gogoi & Dhrubajit Choudhury & Rajnish Kumar, 2022. "Solidarity induced by group contributions: the MI $$^k$$ k -value for transferable utility games," Operational Research, Springer, vol. 22(2), pages 1267-1290, April.
  36. Lina Mallozzi & Juan Vidal-Puga, 2021. "Uncertainty in cooperative interval games: how Hurwicz criterion compatibility leads to egalitarianism," Annals of Operations Research, Springer, vol. 301(1), pages 143-159, June.
  37. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
  38. Parishmita Boruah & Niharika Kakoty & Surajit Borkotokey, 2025. "The k-Egalitarian Myerson Values: Characterizations and Implementation," SN Operations Research Forum, Springer, vol. 6(1), pages 1-25, March.
  39. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Social solidarity with dummies in the museum pass problem," ThE Papers 21/11, Department of Economic Theory and Economic History of the University of Granada..
  40. Sylvain Béal & André Casajus & Frank Huettner & Eric Rémila & Philippe Solal, 2016. "Characterizations of weighted and equal division values," Theory and Decision, Springer, vol. 80(4), pages 649-667, April.
  41. Gutiérrez-López, Esther, 2020. "Axiomatic characterizations of the egalitarian solidarity values," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 109-115.
  42. Li, Wenzhong & Xu, Genjiu & van den Brink, René, 2024. "Sign properties and axiomatizations of the weighted division values," Journal of Mathematical Economics, Elsevier, vol. 112(C).
  43. Sylvain Béal & André Casajus & Eric Rémila & Philippe Solal, 2019. "Cohesive efficiency in TU-games: Two extensions of the Shapley value," Working Papers 2019-03, CRESE.
  44. Sylvain Ferrières, 2017. "Nullified equal loss property and equal division values," Theory and Decision, Springer, vol. 83(3), pages 385-406, October.
  45. Sylvain Ferrières, 2016. "Nullified equal loss property and equal division values," Working Papers 2016-06, CRESE.
  46. Geoffroy de Clippel & Kareen Rozen, 2022. "Fairness through the Lens of Cooperative Game Theory: An Experimental Approach," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 810-836, August.
  47. Casajus, André & Huettner, Frank, 2014. "Weakly monotonic solutions for cooperative games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 162-172.
  48. Takaaki Abe & Satoshi Nakada, 2019. "The weighted-egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 197-213, February.
  49. Takaaki Abe & Satoshi Nakada, 2018. "Generalized Potentials, Value, and Core," Discussion Paper Series DP2018-19, Research Institute for Economics & Business Administration, Kobe University.
  50. Surajit Borkotokey & Dhrubajit Choudhury & Rajnish Kumar & Sudipta Sarangi, 2023. "A new value for cooperative games based on coalition size," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(4), pages 830-854, December.
  51. Koji Yokote & Yukihiko Funaki, 2017. "Monotonicity implies linearity: characterizations of convex combinations of solutions to cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 171-203, June.
  52. Koji Yokote & Takumi Kongo & Yukihiko Funaki, 2019. "Correction to: Relationally equal treatment of equals and affine combinations of values for TU games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 555-555, October.
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