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

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

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

1 被引用数 (Scopus)

抄録

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.

本文言語英語
ホスト出版物のタイトルSOFSEM 2020
ホスト出版物のサブタイトルTheory and Practice of Computer Science - 46th International Conference on Current Trends in Theory and Practice of Informatics, SOFSEM 2020, Proceedings
編集者Alexander Chatzigeorgiou, Riccardo Dondi, Herodotos Herodotou, Christos Kapoutsis, Yannis Manolopoulos, George A. Papadopoulos, Florian Sikora
出版社Springer
ページ627-635
ページ数9
ISBN(印刷版)9783030389185
DOI
出版ステータス出版済み - 2020
外部発表はい
イベント46th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2020 - Limassol, キプロス
継続期間: 1 20 20201 24 2020

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
12011 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

会議

会議46th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2020
国/地域キプロス
CityLimassol
Period1/20/201/24/20

All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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