New mathematical properties of the Banzhaf value

Citations

Cited by:

1. 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.
2. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
3. Francesc Carreras, 2004. "α -Decisiveness In Simple Games," Theory and Decision, Springer, vol. 56(1), pages 77-91, April.
4. Carreras, Francesc & Giménez, José Miguel, 2010. "Semivalues: power,potential and multilinear extensions," MPRA Paper 27620, University Library of Munich, Germany.
5. Irinel Dragan, 2006. "The least square values and the shapley value for cooperative TU games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 61-73, June.
6. Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.
7. Pérez-Castrillo, David & Sun, Chaoran, 2021. "Value-free reductions," Games and Economic Behavior, Elsevier, vol. 130(C), pages 543-568.
   • David Pérez-Castrillo & Chaoran Sun, 2020. "Value-Free Reductions," Working Papers 1186, Barcelona School of Economics.
8. Wenrong Lyu & Erfang Shan & Zeguang Cui, 2024. "Consistency of the Owen value for TU-games with coalition and graph structures," Annals of Operations Research, Springer, vol. 338(2), pages 991-1017, July.
9. Gerard van der Laan & René van den Brink, 2001. "Core concepts for share vectors," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 759-784.
   • van den Brink, J.R. & van der Laan, G., 1999. "Core Concepts for Share Vectors," Other publications TiSEM 7b3a5d55-7e46-4144-8423-6, Tilburg University, School of Economics and Management.
   • van den Brink, J.R. & van der Laan, G., 1999. "Core Concepts for Share Vectors," Discussion Paper 1999-64, Tilburg University, Center for Economic Research.
10. Qianqian Kong & Hao Sun & Genjiu Xu & Dongshuang Hou, 2019. "Associated Games to Optimize the Core of a Transferable Utility Game," Journal of Optimization Theory and Applications, Springer, vol. 182(2), pages 816-836, August.
11. Genjiu Xu & René van den Brink & Gerard van der Laan & Hao Sun, 2012. "Associated Consistency Characterization of Two Linear Values for TU Games by Matrix Approach," Tinbergen Institute Discussion Papers 12-105/II, Tinbergen Institute.
12. Francesc Carreras & María Albina Puente, 2022. "On the axiomatic characterization of the coalitional multinomial probabilistic values," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 119-151, April.
13. Carreras, Francesc & Freixas, Josep & Puente, Maria Albina, 2003. "Semivalues as power indices," European Journal of Operational Research, Elsevier, vol. 149(3), pages 676-687, September.
14. Jilei Shi & Erfang Shan, 2021. "The Banzhaf value for generalized probabilistic communication situations," Annals of Operations Research, Springer, vol. 301(1), pages 225-244, June.
15. Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
16. Carreras, Francesc & Giménez, José Miguel, 2011. "Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions," European Journal of Operational Research, Elsevier, vol. 211(1), pages 148-159, May.
17. Amer, Rafael & Giménez, José Miguel, 2008. "A general procedure to compute mixed modified semivalues for cooperative games with structure of coalition blocks," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 269-282, September.
18. Rafael Amer & José Giménez & Antonio Magaña, 2013. "Reconstructing a simple game from a uniparametric family of allocations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 505-523, October.
19. Carreras, Francesc & Puente, María Albina, 2015. "Coalitional multinomial probabilistic values," European Journal of Operational Research, Elsevier, vol. 245(1), pages 236-246.
20. Amer, Rafael & Gimenez, Jose Miguel, 2006. "An axiomatic characterization for regular semivalues," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 217-226, March.
21. Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
22. Borkotokey, Surajit & Kumar, Rajnish & Sarangi, Sudipta, 2015. "A solution concept for network games: The role of multilateral interactions," European Journal of Operational Research, Elsevier, vol. 243(3), pages 912-920.
23. Liu, Jia-Cai & Sheu, Jiuh-Biing & Li, Deng-Feng & Dai, Yong-Wu, 2021. "Collaborative profit allocation schemes for logistics enterprise coalitions with incomplete information," Omega, Elsevier, vol. 101(C).
24. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2021. "Influence in weighted committees," European Economic Review, Elsevier, vol. 132(C).
25. Zijun Li & Fanyong Meng, 2023. "The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 387-414, September.
26. Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.