Abstract:

For multiobjective game problem of the plurality players of multiple payment function, we studied the existence of optimal value of each player’s payment function based on equilibrium coordination. We proved the existence of equilibrium solution in the equilibrium coordination sense of game system, and gave the equilibrium coordination algorithm to solve the problem of multiobjective game. The rationality and validity of the algorithm were tested by example analysis.

Key words: complete information, lexicographical order equilibrium solution, multiobjective game, equilibrium coordination