In this paper we extend to the vector case the notion of increasing along rays function. The proposed definition is given by means of a nonlinear scalarization through the so-called oriented distance function from a point to a set. We prove that the considered class of functions enjoys properties similar to those holding in the scalar case, with regard to optimization problems, relations with (...

This paper is built on the fundamental of Jorgensen and Sorge considering a differential game about fishery problem. In reality, exploiters can be many because non-excludability common resource. Thus, we expand former two players model to N find more different equilibriums in scenario. Through this, want some guidance for changing resource stock. Further control overexploitation.