Two-Player Competitive Diffusion Game: Graph Classes and the Existence of a Nash Equilibrium

Naoka Fukuzono, Tesshu Hanaka, Hironori Kiya, Hirotaka Ono, Ryogo Yamaguchi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The competitive diffusion game is a game-theoretic model of information spreading on a graph proposed by Alon et al. (2010). In the model, a player chooses an initial vertex of the graph, from which information by the player spreads through the edges connected with the initial vertex. If a vertex that is not yet influenced by any information receives information by a player, it is influenced by the information and it diffuses it to adjacent vertices. A vertex that simultaneously receives two or more types of information does not diffuse any type of information from then on. The objective of a player is to maximize the number of vertices influenced by the player’s information. 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 block graphs, split graphs and interval graphs, all of which are well-known subclasses of chordal graphs. On the other hand, we show that there is an instance with no pure Nash equilibrium on (strongly) chordal graphs; the boundary of the existence of a pure Nash equilibrium is found.

Original languageEnglish
Title of host publicationSOFSEM 2020
Subtitle of host publicationTheory and Practice of Computer Science - 46th International Conference on Current Trends in Theory and Practice of Informatics, SOFSEM 2020, Proceedings
EditorsAlexander Chatzigeorgiou, Riccardo Dondi, Herodotos Herodotou, Christos Kapoutsis, Yannis Manolopoulos, George A. Papadopoulos, Florian Sikora
PublisherSpringer
Pages627-635
Number of pages9
ISBN (Print)9783030389185
DOIs
Publication statusPublished - 2020
Externally publishedYes
Event46th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2020 - Limassol, Cyprus
Duration: Jan 20 2020Jan 24 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12011 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference46th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2020
Country/TerritoryCyprus
CityLimassol
Period1/20/201/24/20

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Fingerprint

Dive into the research topics of 'Two-Player Competitive Diffusion Game: Graph Classes and the Existence of a Nash Equilibrium'. Together they form a unique fingerprint.

Cite this