Expectation-Stock Dynamics in Multi-Agent Fisheries

In this paper we consider a game-theoretic dynamic model describing the exploitation of a renewable resource. Our model is based on a Cournot oligopoly game where n profit-maximizing players harvest fish and sell their catch on m markets. We assume that the players do not know the law governing the reproduction of the resource. Instead they use an adaptive updating scheme to forecast the future fish stock. We analyze the resulting dynamical system which describes how the fish population and the forecasts (expectations) of the players evolve over time. We provide results on the existence and local stability of steady states. We consider the set of initial conditions which give non-negative trajectories converging to an equilibrium and illustrate how this set can be characterized. We show how such sets may change as some structural parameters of our model are varied and how these changes can be explained. This paper extends existing results in the literature by showing that they also hol...

• Type: Journal
• Year: 2005
• Where: ANOR
• Authors: Gian Italo Bischi, Michael Kopel, Ferenc Szidarovszky
• Keywords: Adaptive Updating Scheme, ANOR 2005, Game-theoretic Dynamic Model, Initial Conditions