Tibet is an autonomous nation within China. While it identifies as an independent country, the government of China does not recognize it as such. There has been conflict with the Tibetans and Chinese since the 1950s. You can read more about the history of this conflict here (there is a timeline at the bottom of the page).
Polyandry was officially been made illegal in Tibet in the 1980s. There are, however, some very rural families that still practice polyandry. While not degrading, Halliburton does not speak highly of the Tibetan monks. You can read more about the life of a Tibetan monk at the following webpages. The first was written in 2010; the second in 2018.