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Evolutionary Game Model of Group Choice Dilemmas on Hypergraphs

Andrea Civilini1, Nejat Anbarci2, and Vito Latora1,3,4

  • 1School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom
  • 2Department of Economics and Finance, Durham University, Durham DH1 3LB, United Kingdom
  • 3Dipartimento di Fisica ed Astronomia, Università di Catania and INFN, Catania I-95123, Italy
  • 4Complexity Science Hub Vienna, A-1080 Vienna, Austria

Phys. Rev. Lett. 127, 268301 – Published 20 December, 2021

DOI: https://doi.org/10.1103/PhysRevLett.127.268301

Abstract

We introduce an evolutionary game on hypergraphs in which decisions between a risky alternative and a safe one are taken in social groups of different sizes. The model naturally reproduces choice shifts, namely the differences between the preference of individual decision makers and the consensual choice of a group, that have been empirically observed in choice dilemmas. In particular, a deviation from the Nash equilibrium toward the risky strategy occurs when the dynamics takes place on heterogeneous hypergraphs. These results can explain the emergence of irrational herding and radical behaviors in social groups.

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