While there aren’t official psychiatric diagnoses for dogs, I think dogs (and other pet animals) can and do develop psychiatric conditions, including the canine equivalent of the personality disorders. As in humans, “personality disorders” in dogs develop when a dog has been abused or neglected, usually in puppyhood. Neglecting a dog is just as bad as abusing it, because they are social creatures who need “mirroring” from their humans and regular social interaction. Without these things, a dog can become aggressive, aloof, or learn to fear everything and everyone. Since disturbed dogs do not make good pets, they are usually euthanized.
Because dogs and other pets aren’t capable of higher level reasoning, there’s no doggie equivalent of a “false self,” gaslighting, triangulation, or splitting, but we do find manipulative, attention-seeking, unpleasant behaviors.
Here’s an article about the behavioral problems dogs can develop. Next to each item, I’ve named the personality disorder that would be the human equivalent for that behavior.
Problem dogs usually exhibit difficulties with:
Selfishness and Aggressiveness: Some dogs aggressively guard their food and possessions, and bite any dog or human foolish enough to challenge them. Antisocial Personality Disorder.
Impulsiveness: Some dogs are very impulsive. They impulsively run off chasing after something at the slightest provocation. Often this behavior either gets them lost or run over by a car. Antisocial or Borderline Personality Disorder
Dominance: Some dogs are very dominant and literally control their submissive owners. You will see these dogs pulling their owners around on a leash, or involved in some other power struggle with their owner. Antisocial or Narcissistic Personality Disorder
Fear or Wariness: Some dogs are very fearful and wary of strangers. Some fearful, shy dogs eventually learn to trust their owner. However, other fearful dogs never learn to trust their owner and remain wary, aloof and distant. Schizoid, Avoidant, or Dependent Personality Disorder
Separation Anxiety: Some dogs become hysterical when their owner leaves them. They howl or tear up furniture in a fearful rage. Some dogs bloody themselves trying to paw through walls or smash through glass doors trying to reunite with their owners. Borderline Personality Disorder
Attention-Seeking: Some dogs constantly demand attention from their owner. Yet the more attention the owner gives these dogs, the more excited and attention-seeking they become. The end result is that these demanding dogs are always jumping up on their owners or otherwise pestering their owner for more attention. Borderline, Histrionic, or Narcissistic Personality Disorder
Lack Of Affection: Owners want an affectionate dog that loves them. Unfortunately, some dogs never warm up to their owner and remain aloof and cold. In addition, other dogs never learn to trust their owner, and remain suspicious and isolated. Paranoid, Schizoid or Avoidant Personality Disorder
Read more about animal psychological disorders: