In this chapter we consider a simple model of interacting agents considering a binary question, asked to reply “yes” or "not" to the 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, used in quantum statistical mechanics and in algebras of bounded operators.
Phase Transitions and Decision Making
Oliveri F.Ultimo
Membro del Collaboration Group
2023-01-01
Abstract
In this chapter we consider a simple model of interacting agents considering a binary question, asked to reply “yes” or "not" to the 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, used in quantum statistical mechanics and in algebras of bounded operators.File in questo prodotto:
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