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 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.
Original language | English |
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Pages (from-to) | 314-329 |
Number of pages | 16 |
Journal | Journal of Combinatorial Optimization |
Volume | 34 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2017 |