Balanced-imbalanced transitions in indirect reciprocity dynamics on networks

Koji Oishi, Shuhei Miyano, Kimmo Kaski, Takashi Shimada

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)
103 Downloads (Pure)


Here we investigate the dynamics of indirect reciprocity on networks, a type of social dynamics in which the attitude of individuals, either cooperative or antagonistic, toward other individuals changes over time based upon their actions and mutual monitoring. We observe an absorbing state phase transition as we change the network's link or edge density. When the edge density is either small or large enough, opinions quickly reach an absorbing state, from which opinions never change anymore once reached. In contrast, if the edge density is in the middle range, the absorbing state is not reached and the state keeps changing, thus being active. The result shows an effect of social networks on spontaneous group formation.

Original languageEnglish
Article number024310
Number of pages9
JournalPhysical Review E
Issue number2
Publication statusPublished - 12 Aug 2021
MoE publication typeA1 Journal article-refereed


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