A modified version of a finite random field Ising ferromagnetic model in an external magnetic field at zero temperature is presented to describe group decision making. Fields may have a non-zero average. A postulate of minimum inter-individual conflicts is assumed. Interactions then produce a...

The origins of Sociophysics are discussed from a personal testimony. I trace back its history to the late 1970s. My 20 years of activities and research to establish and promote the field are reviewed. In particular, the conflicting nature of Sociophysics with the physics community is revealed...

The dynamics of opinion about the controversy of abnormal death of bees is studied among French speaking journalists using a corpus of 1467 articles published in newspapers during the period 1998–2010. From a systematic textual analysis, each article is tagged to either one of three stances to...

The 2-spin Ising model in statistical mechanics and the 2×2 normal form game in game theory are compared. All configurations allowed by the second are recovered by the first when the only concern is about Nash equilibria. But it holds no longer when Pareto optimum considerations are introduced...

Site percolation thresholds are reproduced in all dimensions for all lattices using a linear combination of two analytic terms. One is the well known Cayley tree percolation threshold which is believed to be exact at infinite dimension. The other one is obtained from a new approach to...

Competing bimodal coalitions among a group of actors are discussed. First, a model from political sciences is revisited. Most of the model statements are found not to be contained in the model. Second, a new coalition model is built. It accounts for local versus global alignment with respect to...

We study the effects of contrarians on the dynamics of opinion forming using the 2-state Galam opinion dynamics model. In a single update step, groups of a given size are defined and all agents in each group adopt the state of the local majority. In the absence of contrarians, the dynamics is...

We report a quasi-exact power law behavior for Ising critical temperatures on hypercubes. It reads JkBTc = K0[(1 − 1/d)(q−1)]a where K0 = 0.8633747, d is the space dimension q the coordination number (q = 2d), J the coupling constant kB the Boltzman constant and Tc the critical temperature....

Financial economic models often assume that investors know (or agree on) the fundamental value of the shares of the firm, easing the passage from the individual to the collective dimension of the financial system generated by the Share Exchange over time. Our model relaxes that heroic assumption...

This study extends classical models of spreading epidemics to describe the phenomenon of contagious public outrage, which eventually leads to the spread of violence following a disclosure of some unpopular political decisions and/or activity. Accordingly, a mathematical model is proposed to...