A Bicriteria Fish War Game with Asymmetric Environmental Concern

We consider spatial dynamic fishery management problem taking into account the resource migration process between an open-access fishing area and no-take marine protected area. The introduced extension of a standard single-criterion fish war game implies that each player aims to maximize simultaneously two performance criteria which present an economic benefit and an environmental conservation goal respectively. The paper studies a two-player game with asymmetric environmental concern of the players. Using dynamic programming method, we derive non-cooperative and cooperative solution in feedback stationary strategies for an infinite-horizon multistage bicriteria game with two asymmetric players. The numerical simulation is provided to study the solutions properties.

Keywords

renewable resource extraction; multi-objective game; dynamic game; fisheries; Pareto equilibria; cooperative solution; tragedy of the commons.

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