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Selfishness, fraternity, and other-regarding preference in spatial evolutionary games.

György Szabó¹, Attila Szolnoki

¹Research Institute for Technical Physics and Materials Science, PO Box 49, H-1525 Budapest, Hungary. szabo@mfa.kfki.hu

Journal of Theoretical Biology

|March 23, 2011

Summary

This study explores spatial evolutionary games, finding that "fraternal" players (Q=1/2) create ordered strategies for societal benefit. Selfish players (Q=0) often lead to defection dominance, illustrating the "tragedy of the commons".

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Area of Science:

Evolutionary Game Theory
Computational Social Science
Agent-Based Modeling

Background:

Spatial evolutionary games model strategy dynamics on lattices.
Player behavior ranges from selfishness to other-regarding preferences (fraternity).
Nearest-neighbor interactions and utility maximization drive strategy evolution.

Purpose of the Study:

Investigate the impact of player 'fraternity' (Q) on strategy adoption in spatial games.
Analyze emergent patterns and societal outcomes under varying payoff parameters.
Contrast selfish (Q=0) and fraternal (Q=1/2) player behaviors.

Main Methods:

Monte Carlo simulations for noisy strategy updates.
Spatial stability analysis in the low noise limit.
Modeling players on a square lattice with two strategies (cooperation/defection).

Main Results:

Fraternal players (Q=1/2) achieve ordered strategies and optimal societal payoff in low noise.
Selfish players (Q=0) exhibit defector dominance, akin to the 'tragedy of the commons'.
Symmetry leads to similar outcomes for Q=1 ('lovers' dilemma').

Conclusions:

Player fraternity significantly influences cooperation and societal outcomes in spatial evolutionary games.
The spatial structure and noise level are critical in determining emergent strategy patterns.
Model provides insights into cooperation, defection, and social dilemmas.