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Great fish war with moratorium.

Ilyass Dahmouni1, Elena M Parilina2, Georges Zaccour3

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This study analyzes a fish war model with fishing moratoriums. It identifies conditions to avoid moratoriums and determines optimal durations when necessary, proposing strategies for sustainable fishing.

Keywords:
Dynamic gamesFish warMoratoriumRegulation policy

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Area of Science:

  • Ecology
  • Environmental Economics
  • Game Theory

Background:

  • The fish war model examines resource exploitation dynamics.
  • Regulators implement fishing moratoriums to prevent stock collapse.
  • Discrete-time models are crucial for understanding dynamic resource management.

Purpose of the Study:

  • To analyze a discrete-time fish war model with regulatory moratoriums.
  • To determine conditions for avoiding fishing moratoriums.
  • To optimize moratorium duration and propose moratorium-free strategies.

Main Methods:

  • Discrete-time modeling of fish stock dynamics.
  • Game-theoretic analysis of cooperative and noncooperative play.
  • Derivation of conditions for moratorium avoidance and optimal duration.
  • Development of moratorium-free strategy profiles.

Main Results:

  • Conditions for avoiding fishing moratoriums were established.
  • Optimal moratorium durations were calculated when avoidance is impossible.
  • A moratorium-free strategy profile was proposed, aligning with Nash equilibrium under certain conditions.

Conclusions:

  • Sustainable fishing management requires careful parameter consideration.
  • Strategic planning can mitigate or eliminate the need for fishing moratoriums.
  • The proposed strategies offer a path towards stable fish stocks and economic viability.