This note deals with time-consistency and agreeability, two dynamic individual rationality concepts, in special linear-quadratic differential games. Conditions ensuring their satisfaction are derived and a link between sustainability of cooperation and fair sharing of cooperation surplus is...

Discrete-time game-theoretic models related to a bioresource management problem (fish catching) are investigated. There are some players (countries or fishing firms) which harvest the fish stock. Power population's growth function and logarithmic players' profits are considered.We derive the...

A game-theoretic model of territorial environmental production under Cournot competition is studied. The process is modeled as cooperative differential game. The stable distribution mechanism of the common cooperative benefit among players is proposed. We proved that the cooperative total stock...