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Replicator equation on networks with degree regular communities.

Published version
Peer-reviewed

Type

Article

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Abstract

The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a family of connected networks with communities, where nodes in the same community have the same degree. This replicator equation is applied to the study of different classes of games, exploring the impact of the graph structure on the equilibria of the evolutionary dynamics.

Description

Keywords

Coordination, Evolutionary graph theory, Hawk-Dove, Prisoner’s dilemma, Replicator equation

Journal Title

Appl Netw Sci

Conference Name

Journal ISSN

2364-8228
2364-8228

Volume Title

3

Publisher

Springer Science and Business Media LLC