I have been told by car sellers you round-robin several local car dealers to get THEM to lower the prices by matching or beating the others - on the same vehicle specs or as close as you can get as they may not have identical inventory.
Makes sense to me. The car salesman who told me that thought so.
Since dealers inventories seldom match car for car, your best bet is going with make, model and color only. Ultimately one dealer will have the lowest price on a base model, while another dealer will have the best price on the same vehicle with the best equipment package.
Guess which one you want to buy?