Physics

Sociology

Mathematical economics

Social choice theory

Group decision-making

Population

Mathematics

Nash equilibrium

Demography

Evolutionary dynamics

Psychology

Economics

Geography

Microeconomics

Game theory

Herding

Social dilemma

Evolutionary game theory

Geometry

Group (periodic table)

Computer science

Quantum mechanics

Preference

Irrational number

Forestry

Social psychology

Physical Review Letters

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.

Evolutionary Game Model of Group Choice Dilemmas on Hypergraphs