Two-party system
Third parties, meaning a party other than one of the two dominant parties, are possible in two-party systems, but they are often unlikely to exert much influence by gaining control of legislatures or by winning elections. While there are occasional opinions in the media expressed about the possibility of third parties emerging in the United States, for example, political insiders such as the 1980 presidential candidate John Anderson think the chances of one appearing in the early twenty-first century is remote. A report in "The Guardian" suggested that American politics has been "stuck in a two-way fight between Republicans and Democrats" since the Civil War, and that third-party runs had little meaningful success.
First Party System
The First Party System is a model of American politics used in history and political science to periodize the political party system that existed in the United States between roughly 1792 and 1824. It featured two national parties competing for control of the presidency, Congress, and the states: the Federalist Party, created largely by Alexander Hamilton, and the rival Jeffersonian Democratic-Republican Party, formed by Thomas Jefferson and James Madison, usually called at the time the Republican Party. The Federalists were dominant until 1800, while the Republicans were dominant after 1800.