Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In [N. Alon, M. Feldman, A.D. Procaccia, M. Tennenholtz, A note on competitive diffusion through social networks, Inform. Process. Lett. 110 (2010) 221-225], the authors introduced a game-theoretic model of diffusion process through a network. They shod a relation beten the diameter of a given network and existence of pure Nash equilibria in the game. Theorem 1 of their paper says that a pure Nash equilibrium exists if the diameter is at most two. Hover,  have an example which does not admit a pure Nash equilibrium even if the diameter is two. Hence  correct the statement of Theorem 1 of their paper.
['Reiko Takehara', 'Masahiro Hachimori', 'Maiko Shigeno']
I am writing a research paper on a idea A comment on pure-strategy Nash equilibria in competitive diffusion games
[{"from": "human", "value": "I am writing a research paper on a idea A comment on pure-strategy Nash equilibria in competitive diffusion games"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In [N. Alon, M. Feldman, A.D. Procaccia, M. Tennenholtz, A note on competitive diffusion through social networks, Inform. Process. Lett. 110 (2010) 221-225], the authors introduced a game-theoretic model of diffusion process through a network. They shod a relation beten the diameter of a given network and existence of pure Nash equilibria in the game. Theorem 1 of their paper says that a pure Nash equilibrium exists if the diameter is at most two. Hover,  have an example which does not admit a pure Nash equilibrium even if the diameter is two. Hence  correct the statement of Theorem 1 of their paper."}]