President Trump has insisted that his new tariffs on America’s largest trading partners will not increase prices for Americans. But a review of how they work suggests that is not the case.

Ties between the United States and Mexico have deepened over 30 years of free trade, creating both benefits and irritants.

Michael Grimes, a top banker at Morgan Stanley, would become the latest leading tech figure to join the Trump administration, as a senior official at the Commerce Department.

Howard Lutnick disclosed details of complex financial interests, holding at least $800 million in assets.

The president wants to begin renegotiating a U.S. trade deal with Canada and Mexico earlier than a scheduled 2026 review, people familiar with his thinking said.

The president’s executive action on trade will keep all possibilities on the table, including eventual tariffs against China, Canada and Mexico.

New rules aim to keep advanced technology out of China and to ensure that cutting-edge artificial intelligence is developed by the United States and its allies.

President-elect Donald J. Trump has moved beyond the team-of-rivals approach from his first term and chosen economic aides who will defend tariffs and tax cuts.

The tech industry is fighting new regulations, expected soon, that aim to keep the cutting-edge technology in the United States and allied countries.

Putting tariffs on Denmark unless it cedes the island of Greenland could hurt access to a few key products, including popular medicines.

The president-elect inaccurately said that Chinese soldiers operate the Panama Canal. But China’s strategic positions in shipping worry Washington officials.

The companies have found plenty of new channels to the U.S. market — demonstrating the potential limits of the tariffs Donald Trump has promised to impose.

The episode comes at a particularly sensitive moment, just as the Biden White House is dealing with one of the most far-reaching, and damaging, hacks into American infrastructure in the cyberage.

The older-style chips are crucial for a wide array of appliances and other machinery, including weaponry.

The department has confronted the challenge of China by restricting key exports, a policy that is likely to continue in the Trump administration.

© Doug Mills/The New York Times

Europe’s new pact with South America, its largest deal to date, could be a sign of how countries will diversify trade relationships as Donald Trump threatens tariffs.

© Jorge Saenz