Stable coalitional partition in discrete-time bioresource management problem

Anna N. Rettieva

Institute of Applied Mathematical Research, Karelian Research Center of RAS

Abstract: In this paper, a discrete-time game model related to a bioresource management problem (fish catching) is considered. We divide a fishery into regions, which are exploited by two types of players. We assume that there are migratory exchanges between the regions of the reservoir. Here the players of each type can form coalition, i.e. there can be two coalitions and single players of each type in the game. The well-known concepts of external and internal stability are considered and we present the new concept of coalitional stability.

Keywords: dynamic games, bioresource management problem, internal and external stability, coalitional stability.

UDC: 517.977
BBK: 22.18