Non-Thermal Transitions in n-th Order Moral Decisions

This work introduces a model in which agents of a network act upon one another according to three different kinds of moral decisions. These decisions are based on an increasing level of sophistication in the empathy capacity of the agent, a hierarchy which we name Piaget's Ladder. The decision strategy of the agents is non-rational, in the sense that it does not minimize model's Hamiltonian, and the model presents quenched disorder given by the distribution of its defining parameters. We obtain an analytical solution for this model in the thermodynamic limit and also a leading order correction for finite sized systems. Using these results, we show that typical realizations develop a rich phase structure with discontinuous non-thermal transitions.

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