skip to content

Faculty of Economics

Journal Cover

Cassese, D.

Replicator equation on networks with degree regular communities

Applied Network Science

Vol. 3(29) (2018)

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.

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

Author links: Daniele Cassese  

Publisher's Link: https://doi.org/10.1007/s41109-018-0083-2



Papers and Publications



Recent Publications


Elliott, M. and Golub, B. A network approach to public goods accepted, Journal of Political Economy [2018]

Carvalho, V. M. and Grassi, B. Large Firm Dynamics and the Business Cycle American Economic Review [2019]

Jochmans, K., and Weidner, M. Fixed-Effect Regressions on Network Data Econometrica, forthcoming [2019]

Bhattacharya, D. Empirical Welfare Analysis for Discrete Choice: Some General Results Quantitative Economics [2018]