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Social simulation focuses on processes to provide some forms of historical perspectives in explaining social phenomena. This chapter presents three representative examples of cognitive social simulation. It looks into a few representative examples of the kind of social simulation that takes cognition of individual agents into consideration seriously. Game-theoretical interaction is an excellent domain for researching multiagent interactions. The chapter discusses types, issues, and directions of cognitive social simulation and looks into some possible dimensions for categorizing cognitive social simulation. A variety of modeling works has been done on group and/or organizational dynamics on the basis of cognitive models. By combining cognitive models and social simulation models, cognitive social simulation is poised to address issues of the interaction of cognition and sociality, in addition to advancing the state of the art in understanding cognitive and social processes.