There are several topics in political science to which the application of game theory is prima facie appealing. They are voting, the study of power, diplomacy, negotiation and bargaining behavior, coalition formation among political groups and logrolling. This brief survey is by no means intended to be comprehensive but is intended to serve as a guide to some of the more immediate applications of game theory to political science.
Shubik, Martin, "Game Theory and Political Science" (1973). Cowles Foundation Discussion Papers. 584.