Final answer:
An offer by a listing broker to split a commission with a cooperating broker through the multiple listing system is an arrangement known as a co-op commission.
Step-by-step explanation:
An offer by a listing broker to split a commission with a cooperating broker through the multiple listing system is an agreement or arrangement commonly known as a co-op commission.
In the real estate industry, a co-op commission is typically offered by the listing broker as an incentive for other brokers or agents to bring potential buyers to the property.
If the cooperating broker successfully helps to sell the property, they receive a percentage share of the commission.
For example, if a property is listed at a 5% commission and the listing broker offers a 50% co-op commission, a cooperating broker who brings the buyer would receive 2.5% of the sales price as their commission.