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Evolutionary Game Model of Group Choice Dilemmas on Hypergraphs
Andrea Civilini1, Nejat Anbarci2, Vito Latora1,3,4
1School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.
We present an evolutionary game on hypergraphs modeling risky choices in social groups. This model explains choice shifts and irrational herding behavior, deviating from Nash equilibrium on heterogeneous networks.
Area of Science:
- Evolutionary Game Theory
- Social Network Analysis
- Behavioral Economics
Background:
- Empirical studies show discrepancies between individual and group choices in dilemma situations.
- Choice shifts, where group decisions differ from individual preferences, are a documented social phenomenon.
Purpose of the Study:
- To introduce a novel evolutionary game model on hypergraphs to study decision-making in social groups.
- To explain the mechanisms behind choice shifts and deviations from rational behavior observed in empirical studies.
Main Methods:
- Developed an evolutionary game model incorporating decisions between risky and safe alternatives within social groups of varying sizes.
- Simulated decision dynamics on heterogeneous hypergraphs to analyze strategy selection.
Main Results:
- The model successfully reproduces empirically observed choice shifts.
- A deviation from the Nash equilibrium towards riskier strategies was observed on heterogeneous hypergraphs.
Conclusions:
- The evolutionary game on hypergraphs provides a framework for understanding choice shifts and irrational behavior.
- Heterogeneity in social networks can drive emergent phenomena like herding and radicalization.
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