<p>This paper considers a dynamic discrete-time game-theoretic model where players exploit a common resource and seek to optimize multiple objectives simultaneously. The center (referee) shares the resource available for exploitation among the participants and maintains the cooperative behavior. To construct multicriteria noncooperative and cooperative equilibria, modified bargaining schemes are applied. To maintain cooperative behavior, cooperative incentive equilibrium – a penalty mechanism adopted by the center – is presented. To define the cooperative sharing rule, the center is treated as a player with multiple objectives and the ability either to cooperate with other players or to act individually. A dynamic bi-criteria bioresource management problem is investigated to illustrate the proposed concepts.</p>