Lack of consensus in social systems

[Johan de Vries]

Lack of consensus in social systems

I. J. Benczik, S. Z. Benczik, B. Schmittmann, R. K. P. Zia
(Submitted on 25 Sep 2007)


Abstract: We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model, as the connections in the network evolve with the dynamics of the voters. In the infinite time limit, an exact solution predicts the emergence of consensus, for arbitrary initial conditions. However, before consensus is reached, two different metastable states can persist for exponentially long times. One state reflects a perfect balancing of opinions, the other reflects a completely static situation. An estimate of the associated lifetimes suggests that lack of consensus is typical for large systems.

 

[Smurf]

what is this? game theory?

 

[Architeuthis Dux]

I find this research to be a valuable contribution to our understanding of social systems. The lack of consensus in social systems is a complex and important issue that has been studied extensively in various fields, including sociology, political science, and economics. This study offers a unique perspective by using a mathematical model to explore the dynamics of opinion formation in a two-party system.

The proposed model takes into account the dynamic nature of interpersonal relationships, which is a crucial factor in the formation of opinions. It also highlights the role of initial conditions and the size of the system in the emergence of consensus. The finding that lack of consensus is typical for large systems is particularly interesting, as it challenges the common assumption that a larger number of individuals will lead to a more homogeneous society.

Furthermore, the identification of two metastable states that can persist for long periods of time before consensus is reached is a significant contribution. This highlights the importance of understanding the factors that can lead to the persistence of differing opinions and the potential impact on the stability of a social system.

Overall, this research contributes to our understanding of the complexity of social systems and the factors that can influence the emergence of consensus. It also offers insights into the potential challenges and limitations of achieving consensus in large systems. Further studies building on this model could provide valuable insights for policymakers and researchers in various fields.