Haggling is the process of negotiating the price of something (e.g. a piece of merchandise or a service) with the intent of getting a better deal than the stated price.
Although nowadays it is infrequently encountered in the West, it is still common (for example) in the purchase of used cars and sometimes for antiques. Some people report success in haggling for other things, such as the cost of having a chimney cleaned or the amount of a doctor's bill.