ABSTRACT
This chapter deals with stabilisation and Pareto optimisation for the dynamic game of harvesting renewable resources, with particular reference to fishery. The available amounts of the resources are uncertain, and the carrying capacities of their growth are not known, but assumed bounded. The information on stock is available to the harvesters in the form of noisy measurements. This information must be obtained together with values of the carrying capacities and diffusion coefficients before attempting the objectives. The chapter attempts to do the identification on-line using nonlinear dynamic identifiers. The game is formalized in terms of two players but the extension to higher dimensions and more players is immediate. D. G. Luenberger applied the identifier theory to linear games. The theory has been adjusted to nonlinear harvested systems by Skowronski. E. A. Galperin-J. M. Skowronski applied it to nonlinear zero-sum games, and Skowronski used it in the Nash-type competitive game.
