Impact of memory and bias in kinetic exchange opinion models on random networks

Abstract

In this work we consider the effects of memory and bias in kinetic exchange opinion models. We propose a model in which agents remember the sign of their last interaction with each one of their pairs. This introduces memory effects in the model, since past interactions can affect future ones. We have also considered the impact of a parameter $p$ that regulates how often an agent changes its interaction to match its opinion, thus introducing bias in the interactions. For high values of $p$ an agent is more likely to start having a negative interaction with an agent of opposing opinion and a positive interaction with an agent of the same opinion. The model is defined on the top of random networks with mean connectivity $⟨k⟩$. We analyze the impact of both $p$ and $⟨k⟩$ on the emergence of ordered and disordered states in the population. Our results suggest a rich phenomenology regarding critical phenomena, with the presence of metastable states and a non-monotonic behavior of the order parameter. We show that the fraction of neutral agents in the disordered state decreases as the bias $p$ increases.

References in corpus (10)

• Statistical physics of social dynamics
• Sociophysics: A review of Galam models
• Opinion Dynamics with Confirmation Bias
• The influence of contrarians in the dynamics of opinion formation
• Random walkers with extreme value memory: modelling the peak-end rule
• Hysteresis and disorder-induced order in continuous kinetic-like opinion dynamics in complex networks
• Reduction from non-Markovian to Markovian dynamics: The case of aging in the noisy-voter model
• A simple mechanism leading to first-order phase transitions in a model of tax evasion
• Opinion dynamics with emergent collective memory: the impact of a long and heterogeneous news history
• Modeling confirmation bias and peer pressure in opinion dynamics