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Centralized and decentralized rumor blocking problems

Author

Listed:
  • Xin Chen

    (Ocean University of China)

  • Qingqin Nong

    (Ocean University of China)

  • Yan Feng

    (Ocean University of China)

  • Yongchang Cao

    (Ocean University of China)

  • Suning Gong

    (Ocean University of China)

  • Qizhi Fang

    (Ocean University of China)

  • Ker-I Ko

    (Ocean University of China
    National Chiao Tung University)

Abstract

This paper consists of two parts. In the first part, we study a centralized rumor blocking problem with a novel social objective function different from those in the literature. We will show that this objective function is non-decreasing and submodular and hence corresponding rumor blocking problem has a greedy approximation with objective function value at least $$1-1/e$$ 1 - 1 / e of the optimal. In the second part, we study a decentralized rumor blocking problem with two selfish protectors, which falls into a 2-player non-cooperate game model. We will show that this game is a basic valid utility system and hence the social utility of any Nash equilibrium in the game is at least a half of the optimal social utility.

Suggested Citation

  • Xin Chen & Qingqin Nong & Yan Feng & Yongchang Cao & Suning Gong & Qizhi Fang & Ker-I Ko, 2017. "Centralized and decentralized rumor blocking problems," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 314-329, July.
    • Handle: RePEc:spr:jcomop:v:34:y:2017:i:1:d:10.1007_s10878-016-0067-z
    DOI: 10.1007/s10878-016-0067-z
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    References listed on IDEAS

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    1. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions - 1," LIDAM Reprints CORE 334, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions," LIDAM Reprints CORE 341, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Ling Gai & Hongwei Du & Lidong Wu & Junlei Zhu & Yuehua Bu, 2018. "Blocking Rumor by Cut," Journal of Combinatorial Optimization, Springer, vol. 36(2), pages 392-399, August.
    2. Bin Liu & Yuxia Yan & Qizhi Fang & Junyu Dong & Weili Wu & Huijuan Wang, 2019. "Maximizing profit of multiple adoptions in social networks with a martingale approach," Journal of Combinatorial Optimization, Springer, vol. 38(1), pages 1-20, July.

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