Plurality voting

The "broken" US political system is actually working exactly as designed, says business leader and activist Katherine Gehl. Examining the system through a nonpartisan lens, she makes the case for voting innovations, already implemented in parts of the country, that give citizens more choice and incentivize politicians to work towards progress and solutions instead of just reelection.
https://www.ted.com/talks/katherine_m_gehl_us_politics_isn_t_broken_it_s_fixed
As an experimental physicist whom I knew would say,  theory sounds very well in theory, but in practice a practical solution is more efficient. Does anybody knows about real world applications of such method?