The Compleat Fish Wars with Changing Area for Fishery*

In this article a discrete-time game model related with the bioresource management problem (fish catching) is considered. The center (referee) shares a reservoir between the competitors. The players (countries) which harvest the fish stock are the participants of this game. We assume that there is a migratory exchange between the regions of reservoir. We derive the Nash and cooperative equilibrium for infinite planning horizon. We investigate the cooperative incentive equilibrium in the case when the center punishes players for a deviation from cooperative equilibrium. The numerical modelling and the results comparison are given.