Social percolation revisited: From 2d lattices to adaptive networks

Frank Schweitzer

Physica A: Statistical Mechanics and its Applications, 2021, vol. 570, issue C

Abstract: The social percolation model Solomon et al. (2000) considers a 2-dimensional regular lattice. Each site is occupied by an agent with a preference xi sampled from a uniform distribution U[0,1]. Agents transfer the information about the quality q of a movie to their neighbors only if xi≤q. Information percolates through the lattice if q=qc=0.593. – From a network perspective the percolating cluster can be seen as a random–regular network with nc nodes and a mean degree that depends on qc. Preserving these quantities of the random–regular network, a true random network can be generated from the G(n,p) model after determining the link probability p. I then demonstrate how this random network can be transformed into a threshold network, where agents create links dependent on their xi values. Assuming a dynamics of the xi and a mechanism of group formation, I further extend the model toward an adaptive social network model.

Keywords: Percolation; Agent-based modeling; Network (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:570:y:2021:i:c:s0378437120309857

DOI: 10.1016/j.physa.2020.125687

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