2023-03-21T02:11:24Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:02004250
2023-01-16T05:06:25Z
312:313:314
The existence of a pure Nash equilibrium in the two-player competitive diffusion game on graphs having chordality
Fukuzono, Naoka
Hanaka, Tesshu
Kiya, Hironori
Ono, Hirotaka
The competitive diffusion game is a game-theoretic model of information spreading on a graph proposed by Alon et al. (2010). It models the diffusion process of information in social networks where several competitive companies want to spread their information, for example. The nature of this game strongly depends on the graph topology, and the relationship is studied from several aspects. In this paper, we investigate the existence of a pure Nash equilibrium of the two-player competitive diffusion game on chordal and its related graphs. We show that a pure Nash equilibrium always exists on split graphs, block graphs, and interval graphs, all of which are well-known subclasses of chordal graphs. On the other hand, we show that a pure Nash equilibrium does not always exist on (strongly) chordal graphs; the boundary of the existence of a pure Nash equilibrium is found.
journal article
Elsevier
2022-11-15
application/pdf
Discrete Applied Mathematics
321
281
294
0166218X
https://nagoya.repo.nii.ac.jp/record/2004250/files/Fukuzono_s_Paper__J_.pdf
eng
https://doi.org/10.1016/j.dam.2022.04.025
© 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/