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thus there exists an SNE. We also derive the unique SNE for the two-user case of the
SGUM-based power control game. For both games, we show that as social tie levels
increase, each user's SNE strategy is decreasing and the social welfare of the SNE
is increasing. Our findings provide useful insights into the impact of social ties on
users' strategies and social welfare.
References
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access in wireless networks: A survey. IEEE Commun. Surv. Tutor. 13 (3), 372-395, (2011)
2. M. Chiang, P. Handy, T. Lan, C.W. Tan, Power control in wireless cellular networks. Found.
Trends Netw. 2 (4), 381-533, (2008)
3. G. Scutari, S. Barbarossa, D.P. Palomar, Potential games: A framework for vector power control
problems with coupled constraints. IEEE ICASSP (2006)
4. U.O. Candogan, I. Menache, A. Ozdaglar, P.A. Parrilo, Near-optimal power control in wireless
networks: A potential game approach. IEEE INFOCOM (2010)
5. D.M. Topkis, Supermodularity and Complementarity (Princeton University Press, 1998)
6. E. Altman, Z. Altman, S-modular games and power control in wireless networks. IEEE Trans.
Autom. Control 48 , 839-842, (May 2003)
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