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
Bagarello F., Gargano F., Oliveri F. (2023). Phase Transitions and Decision Making. In Quantum Tools for Macroscopic Systems (pp. 103-111). Springer Nature [10.1007/978-3-031-30280-0_7].
Phase Transitions and Decision Making
Bagarello F.;Gargano F.;
2023-05-25
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
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