Bailey puts up with some of it, but will let the other dog know in no uncertain terms that he will not be dominated.
The whole four pages is a excellent read for owners of assertive and self-confident Vizslas on what to look for in inter-dog relationships.
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Article on Inter-Dog Dominance Aggression
If two easygoing dogs meet, there is rarely a problem. If one dog is clearly dominant over another, and the other dog accepts his dominance, again there is no real reason for concern. The more dominant dog transmits his status to the other by certain characteristic posturing and expressions.
Perhaps the most well known signal is the dominant dog's stare. Other signals of dominance include tensing of muscles, erect ears, tail held at or above horizontal, and the head and neck held high. The approach of the dominant dog is often toward the other dog's flank, and upon reaching it, he may rest his chin upon the other dog's back almost daring him to react.
A clearly subordinate dog will defer to a show of force by averting his eyes, shrinking down to make himself small, holding his tail either low or tucked between his legs, and may even squat and urinate or roll over to expose his belly in extreme situations. At the instant the dominant dog has received the signal of deference, he immediately stops posturing and may start playing with the other dog.
Problems arise when two dogs of near equal dominant status meet and the true leader is not immediately apparent. In signaling dominance, dogs may stand parallel to each other, facing the opposite direction, each with his head resting on the other's rump and each with his tail raised like a flag. Next may come a low growl, lip lift, snap, or even bite. If neither dog concedes, a dogfight will ensue, and winner takes all.
In an entirely appropriate battle, the dog that eventually emerges as the dominant individual immediately accepts the underdog's concession. The dominant dog may laud his victory for a few seconds before strutting off but will usually not sustain or escalate his attack under these circumstances. Some dogs, however, are not savvy regarding canine etiquette and will continue to attack despite the other dog's obvious submission. Such dogs usually have a checkered history of improper socialization with other dogs or have had adverse experiences with similarly dysfunctional dogs in the past.
A dominant dog may behave well in the presence of nine out of ten other dogs because the others either defer or are even more dominant. Occasionally, however, such a dog will encounter another dog of almost identical dominance status and that's when the trouble begins. As two owners stand chatting, not paying much attention to their dogs, a fight may suddenly break out."