Multidimensional Stackelberg Model on the Game of Cities with Comparative Advantage of Industry

According to the objective fact that a central city in powerful position and several cities in relatively weak position coexist in a metropolitan area which widely exists in our real world, a multidimensional Stackelberg game model was proposed to analyze competition and cooperation strategy between these two types of cities. The competitive characteristic of urban industry and its payoff were obtained and analyzed by being compared with the result of multidimensional Cournot game.