Non-thermal transitions in a model inspired by moral decisions

Roberto C. Alamino*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 they are arbitrarily fixed, and the model presents quenched disorder given by the distribution of its defining parameters. An analytical solution for this model is obtained in the large system limit as well as a leading order correction for finite-size systems which shows that typical realisations of the model develop a phase structure with both continuous and discontinuous non-thermal transitions.
Original languageEnglish
Article number335001
Number of pages21
JournalJournal of Physics A: Mathematical and Theoretical
Issue number33
Publication statusPublished - 8 Jul 2016


  • moral decisions
  • phase transitions
  • sociophysics


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