Open Conference Systems, StatPhys 27 Main Conference

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Modified Axelrod model with cultural inertia on complex networks.
Yup Kim, Junyoung Choi, Soon Hyung Yook

##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 {σij}(cultural features) where f=1,2,...,F and σif 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 mij = ∑f σifσjf. (3) If 0 < mij < F, then choose a σif with the probability mij/F. (4) Calculate oij = ∑l=1ki σjfσlf, where ki is the degree of i. (5) Now, introduce the inertia parameter ɸ with 0 ≤ ɸ ≤ 1. If oij/ki > ɸ, then σif is made to be equal to σjf. 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.