Nash Equilibria of a Dynamical Game in Age-Structured Population Resources
年龄分布下种群资源开发动态博弈的Nash均衡

A dynamical game in the exploitation of age-dependent population resources is studied. The existence of Nash equilibria is established by means of Kakutani's fixed point theorem for multivalued mappings, and the structure of the equilibria is described by tangent-normal cones and adjoint system techniques. The conclusion shows that, under certain conditions, the optimal strategies are of Bang-Bang type.