Centralized and decentralized rumor blocking problems

Xin Chen, Qingqin Nong (), Yan Feng, Yongchang Cao, Suning Gong, Qizhi Fang and Ker-I Ko
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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

Journal of Combinatorial Optimization, 2017, vol. 34, issue 1, No 22, 314-329

Abstract: 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.

Keywords: Rumor blocking; 2-Player game; Valid utility system (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10878-016-0067-z

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