As the U.S.-China trade fight deepens, the two superpowers — one incumbent and one rising — are sizing each other up and deciding whether they can coexist.

China and the U.S. ended talks in Washington on Friday with no deal after President Donald Trump raised tariffs on more than $200 billion in goods from the country and China vowed to retaliate. The moves create new barriers between the world's largest economies and further complicates a relationship which is increasingly strained over flash points that include trade, technology, Taiwan and the South China Sea.

Provocations have mounted in recent weeks. On Monday, two U.S. warships sailed near disputed islands in the South China Sea, challenging Beijing's claims for the third time this year while the U.S. on Thursday barred China Mobile Ltd. from the U.S. market citing espionage concerns.