A discrete-time bioresource management problem with asymmetric players

This paper explores the discrete-time game-theoretic model associated with a bioresource management problem (fish catching). The game engages players (countries or fishing firms) that harvest fish stocks on the infinite horizon. The paper aims at defining the cooperative payoff under different discount factors of the players. We propose applying a Nash bargaining solution for constructing the cooperative strategies of the players. The analysis covers two bargaining schemes, namely, the one for the whole duration of the game and the recursive bargaining procedure.