"Buyer agency" refers to a situation where a real estate agent works directly with a buyer to help them find and purchase a property. The agent advocates for the buyer's interests and assists them through the entire home-buying process.
There's a lot of states use a form when you hire a buyer's agent that's called the exclusive buyer agency agreement form. (buyersbrokersonly.com)
For example, a listing contract has to be in writing, but — as the reader pointed out — there is no mandatory requirement to enter into a written buyers agency contract. (remonline.com)
Bonus tip: After showing them your list, you now have justification to request a signed buyer agency agreement. (remonline.com)