Research Output per year

### Abstract

This paper considers a hunting game in the “playing the field” model, in which an individual within a group has to choose from two survival strategies: the group hunting strategy or the individual hunting strategy. The group hunting strategy aims at hunting more dangerous, larger prey, that are far beyond a single individual’s capture ability, where the return is greater but the risk is higher. While the individual hunting strategy aims at hunting small prey that can be easily captured by an independent individual, where the return is less but the risk is lower. Evolutionary game theory is used to investigate the selection dynamics of a two-strategy game with a finite population. This reveals the existences of the stable/unstable equilibrium points and evolutionarily stable strategies when there is the frequency-dependent strategy selection in the hunting game. The evolutionarily stable state is found to be not always unique because the system of the hunting game can have multiple equilibrium points. It is shown that a stable equilibrium point will always act as an evolutionarily stable strategy, while an unstable equilibrium point cannot resist invasion from a mutation. The population fitness cannot always reach the optimum level when applying the evolutionary process with the fitness difference function.

Original language | English |
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Article number | 125355 |

Journal | Applied Mathematics and Computation |

Volume | 382 |

Early online date | 19 May 2020 |

DOIs | |

Publication status | E-pub ahead of print - 19 May 2020 |

### Keywords

- frequency dependent selection
- evolutionary game theory
- playing the field
- hunting game

## Fingerprint Dive into the research topics of 'Frequency-dependent strategy selection in a hunting game with a finite population'. Together they form a unique fingerprint.

## Research Output

- 1 Article

## Group chase and escape with prey's anti-attack behavior

Zhang, S., Liu, M., Lei, X., Yang, P., Huang, Y. & Clark, R., 25 Oct 2019, In : Physics Letters A. 383, 30, 8 p., 125871.Research output: Contribution to journal › Article

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## Cite this

Zhang, S., Clark, R., & Huang, Y. (2020). Frequency-dependent strategy selection in a hunting game with a finite population.

*Applied Mathematics and Computation*,*382*, [125355]. https://doi.org/10.1016/j.amc.2020.125355