TY - JOUR

T1 - A note on competitive diffusion through social networks

AU - Alon, Noga

AU - Feldman, Michal

AU - Procaccia, Ariel D.

AU - Tennenholtz, Moshe

N1 - Funding Information:
1 Research supported in part by a USA Israeli BSF grant, by a grant from the Israel Science Foundation, by an ERC advanced grant and by the Hermann Minkowski Minerva Center for Geometry at Tel Aviv University.

PY - 2010/2/15

Y1 - 2010/2/15

N2 - We introduce a game-theoretic model of diffusion of technologies, advertisements, or influence through a social network. The novelty in our model is that the players are interested parties outside the network. We study the relation between the diameter of the network and the existence of pure Nash equilibria in the game. In particular, we show that if the diameter is at most two then an equilibrium exists and can be found in polynomial time, whereas if the diameter is greater than two then an equilibrium is not guaranteed to exist.

AB - We introduce a game-theoretic model of diffusion of technologies, advertisements, or influence through a social network. The novelty in our model is that the players are interested parties outside the network. We study the relation between the diameter of the network and the existence of pure Nash equilibria in the game. In particular, we show that if the diameter is at most two then an equilibrium exists and can be found in polynomial time, whereas if the diameter is greater than two then an equilibrium is not guaranteed to exist.

KW - Algorithmic game theory

KW - Graph algorithms

KW - Social networks

UR - http://www.scopus.com/inward/record.url?scp=74449083450&partnerID=8YFLogxK

U2 - 10.1016/j.ipl.2009.12.009

DO - 10.1016/j.ipl.2009.12.009

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AN - SCOPUS:74449083450

SN - 0020-0190

VL - 110

SP - 221

EP - 225

JO - Information Processing Letters

JF - Information Processing Letters

IS - 6

ER -