So, a representative democracy, like we have in the US. But hasn't it been shown that elected leaders do not actually represent the people, just their own interests?

As an example, the mayor of my town has approved the funding for thousands of new homes, destroying the natural surroundings in the process. No one likes it except the builders. She'll be mayor next reelection. She'll continue to enjoy lavish dinners and vacations paid for by the construction companies.