Grid computing technologies provide the sharing of heterogeneous and distributed computing resources in the networks in order to solve complex computational tasks. Grid resources are processing resources, storage resources, software and software licenses. To provide suitable performance and minimize response times, the available resources have to be scheduled and coordinated for workflow execution in the grid environment. Some issues are in the workflow scheduling in grid computing such as resource sharing, users’ competition for resources and resource owners with different service policies. Grid resource owners are expected to receive benefits regarded to the services that they provide. Therefore, one of the discussions in job scheduling in the grid computing is economic issues. To achieve scheduling methods consider to economic issues, different solutions including game theory based methods are presented. Game theory is a field in practical mathematics that is developed in the context of economics to study the strategic behavior of rational agents. In this thesis, game theory is used to encourage the resource brokers to perform optimal workflow scheduling . In this regard, an incentive mechanism is proposed using stackelberg game, where the user is the leader while the resource brokers are the followers. The aim of the proposed method is to improve quality of service of workflow execution. User encourages resource brokers to use an optimal scheduling algorithm by choosing a suitable strategy. Moreover, the choosing scheduling algorithm by the brokers is modeled as a non-cooperative game. In the proposed game, the probability of victory will be increased for brokers who they met better the quality of user requested services. Obtained stackelberg Equilibrium, indicates that none of the players can’t improve its utility by unilaterally deviating from executing optimal scheduling algorithm. Analysis shows that the proposed solution can achieve to the desired objectives. Keywords: grid computing; workflow scheduling; game theory; stackelberg game