Sociophysics: a new approach of sociological collective behaviour. I. Mean-behaviour description of a strike

Abstract: A new approach to the understanding of sociological collective behaviour, based on the framework of critical phenomena in physics, is presented. The first step consists of constructing a simple mean-behaviour model and applying it to a strike process in a plant. The model comprises only a limited number of parameters characteristic of the plant considered and of the society. A dissatisfaction function is introduced with a basic principle stating that the stable state of the plant is a state, which minimizes this function. It is found that the plant can be in one of two phases: the "collective phase" and the "individual phase". These two phases are separated by a critical point, in the neighbourhood of which the system is very sensitive to small changes in the parameters. The collective phase includes a region of parameters for which the system has two possible states: a "work state" and a "strike state". The actual state of the system depends on the parameters and on the "history of the system". The irreversibility of the transition between these two states indicates the existence of metastable states. For these particular states, the effect of small groups of workers or of a small perturbation in the system results in drastic changes in the state of the plant. Other non-trivial implications of the model, as well as possible extensions and refinements of the approach, are discussed.

• The paper introduces a mean-behaviour model based on Mean Field Theory to capture phase transitions between collective and individual strike states.
• It employs a dissatisfaction function analogous to free energy, linking critical thresholds (K = T/J) with heightened system susceptibility.
• Metastability and hysteresis effects suggest that larger incentives are needed to transition from a strike back to a work state.

Socio-Physics: A Mean-Behaviour Model for Collective Sociological Phenomena

The research paper "Sociophysics: A New Approach of Sociological Collective Behaviour. I. Mean-Behaviour Description of a Strike" by Serge Galam, Yuval Gefen, and Yonathan Shapir proposes the application of concepts from physics to model collective sociological behavior. This interdisciplinary approach leverages principles from critical phenomena in physics, such as universality and phase transitions, to describe complex human interactions, specifically within a strike process in a plant.

Summary of the Model

The authors introduce a Mean-Behaviour (M.B.) model based on Mean Field Theory (MFT) to simplify the complex dynamics of sociological systems. This model focuses on a small set of parameters to capture the essential features of collective behavior. The paper posits that a plant's collective behavior can be categorized into two phases: the "collective phase," wherein work or strike states can emerge, and the "individual phase." These phases are separated by a critical point, characterized by heightened sensitivity to parameter changes.

Crucially, the model incorporates a dissatisfaction function, derived analogously to free energy in physical systems, that encapsulates intrinsic interactions within the system. The core principle guiding this function is the Principle of Minimum Dissatisfaction (PMD), suggesting that the system evolves towards minimizing dissatisfaction analogous to minimizing energy in physical systems.

Key Findings and Numerical Results

• Phase Transition Dynamics: The model predicts a phase transition influenced by the critical ratio $K = \frac{T}{J}$, where $T$ denotes social permeability and $J$ represents interpersonal contact strength. Below a critical threshold, the system exhibits collective behavior; above it, individualistic tendencies dominate.
• Metastability and Susceptibility: The concept of metastable states, akin to energy barriers in condensed matter physics, is explored to explain shifts between work and strike states. This introduces the potential for rapid transitions driven by small perturbations, such as social influences or incentive changes. Empirically, susceptibility $\chi$ is high near critical points, indicating the system's heightened responsiveness to external changes.
• Hysteresis Effects: Historical dependency embedded in state transitions is analogous to magnetic hysteresis. This finding suggests practical implications that larger incentives may be required to return to a work state after a strike has commenced, compared to transitioning from a metastable state.

Implications and Future Directions

The paper lays a foundational framework for understanding collective sociological phenomena through the lens of physics, hinting at wide-ranging applications. The model’s ability to describe non-trivial social dynamics with minimal assumptions positions it as a promising tool for predicting collective human behavior. Future extensions could increase complexity by accounting for heterogeneous agents, non-symmetric interactions, and dynamic external influences.

From a theoretical perspective, this work invites further research into socio-physical analogs and their applicability in quantifying collective behavior in more nuanced sociological contexts. Bridging this conceptual framework with empirical data remains a pivotal challenge for subsequent research, aiming to solidify firm predictions in real-world social dynamics.

In conclusion, while inherently simplified, the M.B. model offers novel insights into the emergent properties of sociological systems and underscores the utility of interdisciplinary methodologies to elucidate complex human phenomena. Continued exploration and refinement of such socio-physical models will likely yield further understanding of the interplay between individual actions and collective outcomes.