Abstract
In this paper, we propose a cooperative game approach to the issue of author ranking in coauthorship networks. We first construct three weighted coauthorship networks from different perspectives and define three cooperative games according to the corresponding coauthorship networks. Then we use the core and the Shapley value as allocation rules for the games. Finally, considering the contribution level of the authors to their papers, we give the weighted Shapley value and a new value as the allocation rules. These allocation rules can be used to rank the authors in coauthorship networks.
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References
Acedo, F.J., Barroso, C., Casanueva, C., Galán, J.L.: Co-authorship in management and organizational studies: an empirical and network analysis. J. Manage. Stud. 43(5), 957–983 (2006). doi:10.1111/j.1467-6486.2006.00625.x
Borm, P., Owen, G., Tijs, S.: On the position value for communication situations. SIAM J. Discrete Math. 5, 305–320 (1992). doi:10.1137/0405023
Casajus, A.: The position value is the myerson value, in a sense. Int. J. Game Theory 36, 47–55 (2007). doi:10.1007/s00182-007-0086-1
Ding, Y.: Scientific collaboration and endorsement: network analysis of coauthorship and citation networks. J. Informetrics 5(1), 187–203 (2011). doi:10.1016/j.joi.2010.10.008
Estrada, E., Rodrŕguez-Velázquez, J.A.: Subgraph centrality and clustering in complex hyper-networks. Phys. A 364, 581–594 (2006). doi:10.1016/j.physa.2005.12.002
Ming, J.R., Dang, Y.J.: Comparative study of author collaboration network based on scientific contribution degree. Digtial Libr. Forum 1, 34–40 (2016). doi:10.3772/j.issn.1673-2286.2016.1.005
Narayanam, R., Narahari, Y.: A shapley value-based approach to discover influential nodes in social networks. IEEE Trans. Autom. Sci. Eng. 8(1), 130–147 (2011). doi:10.1109/TASE.2010.2052042
Newman, M.: Scientific collaboration networks. I. network construction and fundamental results. Phys. Rev. E. 64, 016131 (2001a). doi:10.1103/PhysRevE.64.016131
Newman, M.: Scientific collaboration networks. II. shortest paths, weighted networks, and centrality. Phys. Rev. E. 64, 016132 (2001b). doi:10.1103/PhysRevE.64.016132
Newman, M.: Coauthorship networks and patterns of scientific collaboration. Proc. Nat. Acad. Sci. U.S.A. 101, 5200–5205 (2004). doi:10.1073/pnas.0307545100
Nouweland, A.V.D., Borm, P., Tijs, S.: Allocation rules for hypergraph communication situations. Int. J. Game Theory 20, 255–268 (1992). doi:10.1007/BF01253780
Shan, E., Guang, Z.: Characterizations of the position value for hypergraph communication situations. Working Paper
Shapley, L.: A value for n-person games. In: Tucher, A., Kuhn, H. (eds.) Contributions to the Theory of Games II, pp. 307–317. Princeton University Press, Princeton (1953). doi:10.1017/CBO9780511528446.003
Xie, Z., Ouyang, Z., Li, J.: A geometric graph model for coauthorship networks. J. Informetrics 10(1), 299–311 (2016). doi:10.1016/j.joi.2016.02.001
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant Nos. 71671140 and 71271171), and sponsored by the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University (Grant No. Z2017191).
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Wang, G., Xu, G., Li, W. (2017). A Cooperative Game Approach to Author Ranking in Coauthorship Networks. In: Li, DF., Yang, XG., Uetz, M., Xu, GJ. (eds) Game Theory and Applications. China GTA China-Dutch GTA 2016 2016. Communications in Computer and Information Science, vol 758. Springer, Singapore. https://doi.org/10.1007/978-981-10-6753-2_16
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DOI: https://doi.org/10.1007/978-981-10-6753-2_16
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