What do you think about switching between characters?

Great idea. For instance, the now wildly popular Game of Thrones does exactly that, with the chapters after the characters whose perspective from which they're written. The advantages is being able to convey complex or varied viewpoints and opinions and experiences within the novel, and perhaps the most glaring danger in doing so would be that the reader feels thrown from person to person, as if they're reading the introductions to three different novels, without reaching any real progression.