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Preprints, Working Papers, ... (Working Paper) Year : 2024

An Explicit Solution to Harvesting Behaviors in a Predator-Prey System

Guillaume Bataille

Abstract

This paper derives closed-form solutions for a strategic, simultaneous harvesting in a predator-prey system. Using a parametric constraint, it establishes the existence and uniqueness of a linear feedback-Nash equilibrium involving two specialized fleets and allow for continuous time results for a class of payoffs that have constant elasticity of the marginal utility. Theses results contribute to the scarce literature on analytically tractable predator-prey models with endogenous harvesting. A discussion based on industry size effects is provided to highlight the role played by biological versus strategic interactions in the multi-species context.
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Dates and versions

hal-04465024 , version 1 (19-02-2024)

Identifiers

  • HAL Id : hal-04465024 , version 1

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Guillaume Bataille. An Explicit Solution to Harvesting Behaviors in a Predator-Prey System. 2024. ⟨hal-04465024⟩
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