Final answer:
A loyalty program or reward system offers discounts or benefits to guests after repeated visits to a restaurant, encouraging customer loyalty and offering value to patrons.
Step-by-step explanation:
The method that provides discounts or benefits after a guest has visited a restaurant a specific number of times is commonly known as a loyalty program or reward system. Businesses implement these programs to encourage repeat visits by offering rewards based on the customer's patronage. For instance, a diner might earn a free meal after purchasing a certain number of meals, or they may accumulate points that can be redeemed for discounts or special offers. This system benefits both the restaurant by fostering customer loyalty and the guest by providing value for their continued business.