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The market mechanism based on price is imported into the traditional grid architecture based on hierarchical model, and a grid architecture based on economic model is constructed. Besides the time and cost, grid users also concern about the use value of Grid resources. Accordingly, not only a utility function of grid resource but also a utility function of grid user having the Cobb-Douglas form is constructed. And the latter can express different preferences and targets of grid users. The Lagrange method is utilized to solve the optimization problem of utility function. In addition, a strategy for resource allocation and pricing based on utility function optimization is proposed. Finally, performance and efficiency of grid tasks and resources mapping algorithm proposed in this paper is analyzed through the simulation experiment.