Abstract: The present paper covers a research on a two level syst em with several interconnected decision makers based on the Stackelberg leader- follower game. It contains many decision makers, each of them has more than one object-bilevel multiobjective decision making. An algorithm is given to solve a mathematical model of bilevel multiobjective decision making. Via connectin g the maximal module ideal point algorithm with the power coefficient under Kuhn-Tucker condition, the bilevel multiobjective programming problem is change d to a singular-level singular-objective constraint programming problem. Then th e weak efficient solution of the problem can be aquired.

Key words: bilevel programming, maximal module, ideal point