Phase transitions, KMS-condition and Decision Making
Fabio Bagarello
TL;DR
This paper models social decision-making using a mean field Heisenberg model of interacting agents, exploring how phase transitions and KMS-states influence consensus formation.
Contribution
It introduces a novel application of phase transition theory and KMS-states to analyze collective decision-making processes.
Findings
Conditions for consensus emergence identified
Phase transitions linked to social agreement
KMS-states characterize stable collective choices
Abstract
We consider a simple model of interacting agents asked to choose between "yes" and "not" to some given question. The agents are described in terms of spin variables, and they interact according to a mean field Heisenberg model. We discuss under which conditions the agents can come out with a common choice. This is made using, in a social context, the notion of KMS-states and phase transitions.
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Taxonomy
TopicsOpinion Dynamics and Social Influence · Complex Systems and Time Series Analysis · Statistical Mechanics and Entropy