Although this ancient civilization in Mesoamerica had very impressive cities, they were not built as capitals where the leading king or leader would live and rule from. There was not just one king. Instead, the Mayan civilization had multiple rulers who lived and worked out of the different cities or communities scattered throughout their total range.
Instead of a monarchy, the political system was closer to an organized group of city states. They were all a part of the same people but had different ways of living and focused on different resources or products. The groups occasionally fought for control or wealth building, treated with each other regularly, and otherwise did not interact in any great manner. Nevertheless, they shared the bulk of their culture and religious beliefs. They also shared architectural styles and layout designs.
As with most cities or communities from ancient times anywhere on earth, the leaders and the religious powers were most prominent in each region. They had the largest houses, tallest temples, and more land in general than the merchants and working class.
The Maya built Chichen Itza, Uxmal, Bonampak, and Altun Ha, which you can still find on a journey to Central America today. Of course, they do not look the same as he did back in the early years, and the people who live there differ quite a bit as in appearance and lifestyle to the ones that once called it home.