The phrase "smaller parties" refers to political groups that have fewer members or less influence compared to the larger and more prominent political parties. Full definition
The election of smaller parties gives rise to one of the principal objections to PR systems, that they almost always result in coalition governments. (en.wikipedia.org)
We can copy this style for going out for small parties with our friends as the outfit will add more charm to our look. (hercanvas.com)
Moreover in some instances, it encourages bigger parties to build alliances with smaller parties, in order to attract their voters in the second round. (conservativehome.blogs.com)