Discrete-time bioresorce management problem with asymmetric players

Discrete-time game-theoretic model related to a bioresource management problem (fish catching) is investigated. The players (countries or fishing firms) which harvest the fish stock are the participants of the game. Players differ in their time preferences and use different discount factors. The main question arising here is how to construct value function for cooperative solution in this case. The Nash bargaining procedure is proposed to use for determining the joint discount factor and players' payoffs.