TY - GEN
T1 - Two-Player Competitive Diffusion Game
T2 - 46th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2020
AU - Fukuzono, Naoka
AU - Hanaka, Tesshu
AU - Kiya, Hironori
AU - Ono, Hirotaka
AU - Yamaguchi, Ryogo
N1 - Funding Information:
This work was partially supported by JSPS KAKENHI Grant Numbers JP17K19960, 17H01698, 19K21537.
Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
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U2 - 10.1007/978-3-030-38919-2_52
DO - 10.1007/978-3-030-38919-2_52
M3 - Conference contribution
AN - SCOPUS:85079084710
SN - 9783030389185
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 627
EP - 635
BT - SOFSEM 2020
A2 - Chatzigeorgiou, Alexander
A2 - Dondi, Riccardo
A2 - Herodotou, Herodotos
A2 - Kapoutsis, Christos
A2 - Manolopoulos, Yannis
A2 - Papadopoulos, George A.
A2 - Sikora, Florian
PB - Springer
Y2 - 20 January 2020 through 24 January 2020
ER -