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Updated: Jan 26, 2026

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Dynamics of multiplayer games on complex networks using territorial interactions.

Pedro H T Schimit1, Karan Pattni2, Mark Broom3

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Summary

This study explores how population structures affect evolutionary game theory. Graphical temperature and average group size strongly predict mutant fixation probability in structured populations.

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Area of Science:

  • Evolutionary biology
  • Mathematical modeling
  • Network theory

Background:

  • Evolutionary graph theory models pairwise interactions in networks.
  • Recent frameworks allow for multiplayer interactions in flexible population structures.
  • Previous work lacked systematic analysis of diverse population structures.

Purpose of the Study:

  • To systematically analyze a wide range of population structures for multiplayer evolutionary games.
  • To identify factors determining mutant fixation probability in structured populations.
  • To evaluate the predictive power of various structural properties.

Main Methods:

  • Considered a large range of underlying graphical structures for the territorial raider model.
  • Analyzed properties of these structures to find predictors of fixation probability.
  • Investigated the influence of graphical temperature and average group size.

Main Results:

  • Graphical temperature and average group size are strong predictors of fixation probability.
  • Clustering coefficient is a useful secondary predictor when combined with temperature or group size.
  • The relationship between predictors and fixation probability can be nonmonotonic.

Conclusions:

  • Graphical temperature and average group size are key determinants of evolutionary dynamics in structured populations.
  • The choice of game (e.g., hawk-dove vs. public goods) influences the observed relationships.
  • Understanding population structure is crucial for predicting evolutionary outcomes.