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Modified Axelrod model with cultural inertia on complex networks.

##manager.scheduler.building##: Edificio Santa Maria

##manager.scheduler.room##: Auditorio San Agustin

Date: 2019-07-08 11:45 AM – 03:30 PM

Last modified: 2019-06-15

#### Abstract

We study a modified Axelrod model with cultural inertia on complex networks. In the model, the state of each agent on the node

*i*is characterized by an*F*component vector & sigma {σ_{ij}}(cultural features) where*f*=1,2,...,*F*and σ_{if}is an integer in the interval [1,*q*]. At each time step, the state of each agent is updated by the following rules: (1) Choose a directly connected pair of nodes {*i*,*j*}. (2) Calculate the overlap*m*_{ij}= ∑_{f}σ_{if}σ_{jf}. (3) If 0 <*m*<_{ij}*F*, then choose a σ_{if}with the probability*m*. (4) Calculate_{ij}/F*o*= ∑_{ij}_{l=1}^{ki}σ_{jf}σ_{lf}, where*k*is the degree of_{i}*i*. (5) Now, introduce the inertia parameter*ɸ*with 0 ≤*ɸ*≤ 1. If*o*/_{ij}*k*>_{i}*ɸ*, then σ_{if}is made to be equal to σ_{jf}. If*ɸ*= 0, the model becomes the original Axelrod model. We find three stable phases depending on*ɸ*. Based on the finite-size analyses of the simulation data, the nature of the transition between the phases is shown to be the first order.