Opinion dynamics is an opinion evolution process of a group of agents, where the final
opinion distribution tends to three stable states: consensus, polarization, and fragmentation …

In this paper we offer a comprehensive review of Sociophysics, focusing on relevant models
as well as selected applications in social trading, behavioral finance and business. We …

In this work, we study the opinion dynamics of the three-state majority-vote model on small-
world networks of social interactions. In the majority-vote dynamics, an individual adopts the …

We investigate financial market dynamics by introducing a heterogeneous agent-based
opinion formation model. In this work, we organize individuals in a financial market …

In this chapter we give main definitions and useful facts of the theory of Gibbs measures of
lattice spin systems. In the first section we give general definitions. This chapter also …

As one of the most widespread social dynamics, cooperative behavior is among the most
fascinating collective phenomena. Several animal species, from social insects to human …

The concept of the renormalization group (RG) emerged from the renormalization of
quantum field variables, which is typically used to deal with the issue of divergences to …

The efficient market hypothesis (EMH), based on rational expectations and market
equilibrium, is the dominant perspective for modelling economic markets. However, the most …

We propose a novel agent-based financial price model with heterogeneous transmission
risks on a time-dependent interaction network to investigate financial market dynamics, the …

Spin models of markets inspired by physics models of magnetism, as the Ising model, allow
for the study of the collective dynamics of interacting agents in a market. The number of …