Abstract
Cooperative game theory aims to study complex systems in which players have an interest to play together instead of selfishly in an interactive context. This interest may not always be true in an adversarial setting. We consider in this paper that several players have a choice to participate or not in a coalition in order to maximize their utility against an adversarial player. We observe that participating in a coalition is not always the best decision; indeed selfishness can lead to better individual utility. However, this is true under rare yet interesting scenarios. This result is quite surprising as in standard cooperative games; coalitions are formed if and only if it is profitable for players. We illustrate our results with two important resource-sharing problems: resource allocation in communication networks and visibility maximization in online social networks. We also discuss fair sharing using Shapley values, when cooperation is beneficial.
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References
Narahari, Yadati. Game theory and mechanism design. World Scientific, 2014.
Gast, Nicolas, and Bruno Gaujal. Computing absorbing times via fluid approximations. Advances in Applied Probability 49.3 (2017): 768–790.
Rosen, J. Ben. Existence and uniqueness of equilibrium points for concave n-person games. Econometrica: Journal of the Econometric Society (1965): 520–534.
Cheng, Shih-Fen, et al. Notes on equilibria in symmetric games (2004): 71.
Xu, Yuedong, et al. Efficiency of Adversarial Timeline Competition in Online Social Networks. arXiv preprint arXiv:1602.01930 (2016). APA
Dhounchak, Ranbir, Veeraruna Kavitha, and Eitan Altman. A Viral Timeline Branching Process to Study a Social Network. Teletraffic Congress (ITC 29), 2017 29th International. Vol. 3. IEEE, 2017.
A. Vulimiri, G. Agha, P. Godfrey, and K. Lakshminarayanan, How well can congestion pricing neutralize denial of service attacks? in Proc. of ACM Sigmetrics 2012.
J. Lou, A. Smith, Y. Vorobeychik, Multidefender Security Games, in IEEE Intelligent Systems, vol. 32, no. 1, pp. 1541–1672, 2017.
W. Saad, Z. Han, M. Debbah, A. Hjorungnes, T. Basar, Coalitional game theory for communication networks, in IEEE Signal Processing Magazine, vol. 26, no. 5, 2009.
W. Saad, Z. Han, T. Basar, M. Debbah, A. Hjorungnes, Distributed Coalition Formation Games for Secure Wireless Transmission, in Mobile Networks and Applications, vol. 16, no. 2, 2011.
F. Kelly, A. Maulloo, D. Tan, Rate control for communication networks: shadow prices, proportional fairness and stability, The Journal of the Operational Research Society, Vol. 49, No. 3, 1998.
E. Altman, P. Kumar, and A. Kumar, Competition over timeline in social networks, in Proc. of Social Network Analysis in Applications Workshop (in conjunction with COMSNETS), 2013.
A. Reiffers, Y. Hayel, E. Altman, Game theory approach for modeling competition over visibility on social networks, in proceedings of IEEE COMSNETS, workshop on Social Networking, 2014.
Manuscript under preparation and the Technical report downloadable at http://www.ieor.iitb.ac.in/files/faculty/kavitha/ParticipateOrNot_TR.pdf
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Dhounchak, R., Kavitha, V., Hayel, Y. (2019). To Participate or Not in a Coalition in Adversarial Games. In: Walrand, J., Zhu, Q., Hayel, Y., Jimenez, T. (eds) Network Games, Control, and Optimization. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10880-9_8
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DOI: https://doi.org/10.1007/978-3-030-10880-9_8
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