Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6871110 | Discrete Applied Mathematics | 2018 | 19 Pages |
Abstract
This paper treats two types of competitive facility location games on graphs: information diffusion games and discrete Voronoi games. Both of these games can be regarded as models of the rumor spreading processes on the networks, where each player of the game wants to select an influencer who can widely spread information throughout the network. For each game, given a graph and the number of players, we are interested in whether there exist pure Nash equilibria or not. In this paper, we discuss the existence of pure Nash equilibria on graphs with small diameter, path graphs, and cycle graphs. The results include the behavior of the discrete Voronoi games on graphs with diameter two, and the complete characterization of the existence of the pure Nash equilibria in the discrete Voronoi games and information diffusion games on path graphs.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Hikoe Enomoto, Masahiro Hachimori, Shun Nakamura, Maiko Shigeno, Yuya Tanaka, Masaaki Tsugami,