Potential, Value, and Consistency

Citations

Cited by:

1. Kar, Anirban & Mitra, Manipushpak & Mutuswami, Suresh, 2009. "On the coincidence of the prenucleolus and the Shapley value," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 16-25, January.
   • Kar, Anirban & Mitra, Manipushpak & Mutuswami, Suresh, 2005. "On the coincidence of the Prenucleolus and the Shapley Value," Economics Discussion Papers 8892, University of Essex, Department of Economics.
2. Conrado M. Manuel & Daniel Martín, 2020. "A Monotonic Weighted Shapley Value," Group Decision and Negotiation, Springer, vol. 29(4), pages 627-654, August.
3. Camelia Bejan & Juan Camilo Gómez & Anne van den Nouweland, 2022. "On the importance of reduced games in axiomatizing core extensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 637-668, October.
4. Yan-an Hwang & Tsung-fu Wang, 2009. "Population monotonicity, consistency and the random arrival rule," Economics Bulletin, AccessEcon, vol. 29(4), pages 2816-2821.
5. Besner, Manfred, 2022. "Impacts of boycotts concerning the Shapley value and extensions," MPRA Paper 112620, University Library of Munich, Germany.
6. 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.
7. van den Nouweland, A. & Peleg, B. & Tijs, S., 1996. "Axiomatic characterizations of the Walras correspondence for generalized economies," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 355-372.
   • van den Nouweland, C.G.A.M. & Peleg, B. & Tijs, S.H., 1994. "Axiomatic characterizations of the Walras correspondence for generalized economies," Other publications TiSEM fceb975e-c04e-4baf-af99-a, Tilburg University, School of Economics and Management.
   • van den Nouweland, C.G.A.M. & Peleg, B. & Tijs, S.H., 1994. "Axiomatic characterizations of the Walras correspondence for generalized economies," Discussion Paper 1994-58, Tilburg University, Center for Economic Research.
   • van den Nouweland, C.G.A.M. & Peleg, B. & Tijs, S.H., 1996. "Axiomatic characterizations of the Walras correspondence for generalized economies," Other publications TiSEM 6ac8c569-8178-4176-9ecf-0, Tilburg University, School of Economics and Management.
8. Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers hal-04447373, HAL.
   • Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers 2024-06, CRESE.
9. van den Brink, René & Pintér, Miklós, 2015. "On axiomatizations of the Shapley value for assignment games," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 110-114.
   • Rene van den Brink & Miklos Pinter, 2012. "On Axiomatizations of the Shapley Value for Assignment Games," Tinbergen Institute Discussion Papers 12-092/II, Tinbergen Institute.
10. 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.
    • 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," Post-Print hal-03422949, HAL.
11. Skoda, Alexandre & Venel, Xavier, 2023. "Weighted average-convexity and Shapley values," Games and Economic Behavior, Elsevier, vol. 140(C), pages 88-98.
12. Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2015. "Sharing the surplus in games with externalities within and across issues," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 315-343, October.
    • Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2011. "Sharing the surplus in games with externalities within and across issues," UFAE and IAE Working Papers 880.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Effrosyni Diamantoudi & Inés Macho-Stadler & David Pérez-Castrillo & Licun Xue, 2011. "Sharing the surplus in games with externalities within and across issues," Working Papers 569, Barcelona School of Economics.
13. Gilles, R.P. & Sarangi, S., 2003. "The Role of Trust in Costly Network Formation," Discussion Paper 2003-53, Tilburg University, Center for Economic Research.
    • Sudipta Sarangi & Robert P. Gilles, 2004. "The Role of Trust in Costly Network Formation," Econometric Society 2004 North American Summer Meetings 483, Econometric Society.
    • Gilles, R.P. & Sarangi, S., 2003. "The Role of Trust in Costly Network Formation," Other publications TiSEM e63c5a28-2b82-4503-8bdb-d, Tilburg University, School of Economics and Management.
14. Dutta, Bhaskar & Mishra, Debasis, 2012. "Minimum cost arborescences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 120-143.
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    • Dutta, Bhaskar & Mishra, Debasis, 2009. "Minimum Cost Arborescences," The Warwick Economics Research Paper Series (TWERPS) 889, University of Warwick, Department of Economics.
15. Judith Timmer & Peter Borm & Stef Tijs, 2004. "On three Shapley-like solutions for cooperative games with random payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 595-613, August.
    • 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.
    • 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," Discussion Paper 2000-73, Tilburg University, Center for Economic Research.
16. Zhengxing Zou & Rene van den Brink & Yukihiko Funaki, 2020. "Compromising between the proportional and equal division values: axiomatization, consistency and implementation," Tinbergen Institute Discussion Papers 20-054/II, Tinbergen Institute.
17. Rene (J.R.) van den Brink & Rene Levinsky & Miroslav Zeleny, 2018. "The Shapley Value, Proper Shapley Value, and Sharing Rules for Cooperative Ventures," Tinbergen Institute Discussion Papers 18-089/II, Tinbergen Institute.
18. René Brink & Yukihiko Funaki, 2015. "Implementation and axiomatization of discounted Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 329-344, September.
19. Niharika Kakoty & Surajit Borkotokey & Rajnish Kumar & Abhijit Bora, 2024. "Weighted Myerson value for Network games," Papers 2402.11464, arXiv.org.
20. Nir Dagan, 1996. "Consistency and the Walrasian allocations correspondence," Economics Working Papers 151, Department of Economics and Business, Universitat Pompeu Fabra.
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21. Sanjith Gopalakrishnan & Daniel Granot & Frieda Granot, 2021. "Consistent Allocation of Emission Responsibility in Fossil Fuel Supply Chains," Management Science, INFORMS, vol. 67(12), pages 7637-7668, December.
22. Casajus, André, 2021. "Weakly balanced contributions and the weighted Shapley values," Journal of Mathematical Economics, Elsevier, vol. 94(C).
23. van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Other publications TiSEM bb166cb9-4f1c-4e52-b4b9-0, Tilburg University, School of Economics and Management.
    • van den Brink, J.R. & van der Laan, G., 1999. "Potentials and Reduced Games for Share Functions," Discussion Paper 1999-41, Tilburg University, Center for Economic Research.
24. Sanchez-Soriano, Joaquin, 2003. "The pairwise egalitarian solution," European Journal of Operational Research, Elsevier, vol. 150(1), pages 220-231, October.
25. Zenou, Yves & Dequiedt, Vianney, 2014. "Local and Consistent Centrality Measures in Networks," Research Papers in Economics 2014:4, Stockholm University, Department of Economics.
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26. Casajus, André & Huettner, Frank, 2018. "Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension," Economics Letters, Elsevier, vol. 164(C), pages 27-30.
27. Casajus, André & Huettner, Frank, 2018. "Decomposition of solutions and the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 37-48.
28. Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Theory and Decision, Springer, vol. 79(2), pages 251-283, September.
    • Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2014. "The Sequential Equal Surplus Division for Rooted Forest Games and an Application to Sharing a River with Bifurcations," Working Papers 1440, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    • Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2014. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Working Papers halshs-01098766, HAL.
    • Sylvain Béal & Amandine Ghintran & Eric Rémila & Philippe Solal, 2015. "The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations," Post-Print halshs-01212167, HAL.
29. Ana Mauleon & Nils Roehl & Vincent Vannetelbosch, 2014. "Constitutions and Social Networks," Working Papers Dissertations 02, Paderborn University, Faculty of Business Administration and Economics.
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30. Yu-Hsien Liao, 2021. "Axiomatic Results for Weighted Allocation Rules under Multiattribute Situations," Mathematics, MDPI, vol. 9(6), pages 1-14, March.
31. 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.
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32. Dehez, Pierre, 2023. "Sharing a collective probability of success," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 122-127.
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33. Andrea Caggese & Ander Pérez-Orive, 2017. "Capital Misallocation and Secular Stagnation," Finance and Economics Discussion Series 2017-009, Board of Governors of the Federal Reserve System (U.S.).
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34. Gérard Hamiache & Florian Navarro, 2020. "Associated consistency, value and graphs," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 227-249, March.
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35. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
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36. 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.
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37. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2013. "A strategic implementation of the Average Tree solution for cycle-free graph games," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2737-2748.
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38. Pérez-Castrillo, David & Sun, Chaoran, 2022. "The proportional ordinal Shapley solution for pure exchange economies," Games and Economic Behavior, Elsevier, vol. 135(C), pages 96-109.
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