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Computational Validation of a Mathematical Model of Stable Multi-Species Communities in a Hawk Dove Game
Jeffrey Lu
We revisit the original hawk-dove game with slight modifications to payoff values while maintaining the fundamental principles of interaction. The practical robustness of the theoretical tools of game theory is tested on a simulated population of hawks and doves with varying initial population distributions and peak growth rates. Additionally, we aim to find conditions in which the entire community fails or becomes a single-species population. The results show that the predicted community distribution is established by the majority of communities but fails to exist in communities with extreme initial imbalances in species distribution and insufficient growth rates. We also find that greater growth rates can compensate for more imbalanced initial conditions and that more balanced initial conditions can compensate for lower growth rates. Overall, the simple theoretical model is a strong predictor of the stable behavior of simulated multi-species communities.
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