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

Author

Listed:
  • Guillaume Bataille

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Guillaume Bataille, 2024. "An Explicit Solution to Harvesting Behaviors in a Predator-Prey System," Working Papers hal-04465024, HAL.
    • Handle: RePEc:hal:wpaper:hal-04465024
    Note: View the original document on HAL open archive server: https://hal.science/hal-04465024
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    File URL: https://hal.science/hal-04465024/document
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