DYNAMICS OF DISCRETE OPINIONS WITHOUT COMPROMISE

Authored by M. Kaan Ozturk

Date Published: 2013-08

DOI: 10.1142/s0219525913500100

Sponsors: No sponsors listed

Platforms: C++

Model Documentation: Other Narrative Mathematical description

Model Code URLs: https://github.com/mkozturk/Opinion_Dynamics

Abstract

A new agent-based, bounded-confidence model for discrete one-dimensional opinion dynamics is presented. The agents interact if their opinions do not differ by more than a tolerance parameter. In pairwise interactions, one of the pair, randomly selected, converts to the opinion of the other. The model can be used to simulate cases where no compromise is possible, such as choices of substitute goods, or other exclusive choices. The homogeneous case with maximum tolerance is equivalent to the Gambler's Ruin problem. A homogeneous system always ends up in an absorbing state, which can have one or more surviving opinions. An upper bound for the final number of opinions is given. The distribution of absorption times fits the generalized extreme value distribution. The diffusion coefficient of an opinion increases linearly with the number of opinions within the tolerance parameter. A general master equation and specific Markov matrices are given. The software code developed for this study is provided as a supplement.

Tags

Agent-based modeling Cellular automata Opinion dynamics diffusion bounded confidence noncompromise model