The Libertarian Party is about truly free markets and government doing a few things well, such as enforcement of laws against fraud. The federal government has grown so large and has lost so much focus, it was not able to do anything about the massive fraud perpetrated by Bernie Madoff over at least 16 years!
Libertarians are not a part of the Republicans or Democrats, which are advocates of special interest groups, such as corporations or unions.
Libertarians advocate for equality, fairness and the common woman/man. For example, Libertarians abhor the regressive Social Security tax, which only taxes a low level of income, which guarantees the poor have to pay a larger percentage of their limited income for the tax than the wealthy.
Libertarians also abhor all of the business regulations that prevent the poor from starting their own businesses by making it too difficult and expensive to do so. But the R's and D's prefer workers - they don't want them competing against their business owner elites.