In the wild canines will vy for dominance at an early age. They will play dominance games with lip licking, circling and hackles raised waiting for someone to end it. I won't. I let them fight until one screams. This usually ends the fight. If it doesn't, I will grab the victor by the nape, pin and place a firm grib over their throat. This gives them feeling of powerlessness they displyed over the other. That usually establishes dominance. Most importantly it tells the pack you are in charge and will have order. Fights from then on typically end when the first one cries.
My first Basenji was stubborn and thought she was dominate over me. The first 2 or 3 times I did this didn't work. Finally I squeezed her throat just hard enough and long enough to see the fear in her eyes. After that fights were few and far between. When they brawled after that and she always pinned the subordinates, they yelped and she would run to me for approval. Wanting to reinforce this behaviour, I praised her and gave her whatever started the fight. She would prance about and showboat to the other 2. Eventually she got bored, would drop the prize next to me and go sun herself in the backyard.
Basenjis, more so than other breeds, are extremely primal. They need to know you are in charge. The responsibility of being in charge is to respect the pack heiarchy.
A really good book on canine behaviour is the "Mind of the Dog" by Bruce Fogel. He is a British vet and Canadian schooled. I belive he graduated from vet school in Gelph, Canada. This first part of the book deals with the canine brain and is pretty boring unless you like nuerophysics. The rest is full of gems on how canines think.
If you want multiple Basenjis, you really need to understand how canines think and how pack mentality works.