Okay, this is getting autistic, but...
In the past, "Might Makes Right" was the political reality of most regions. The strongest wielder of Pokemon in a region was dubbed "the Champion", and ruled the areas under their control with pretty much an iron fist. Typically, the Champion had a handful of enforcers that were given immense wealth and power in exchange for upholding the Champion's reign. In addition, each town had a local lawman that was granted the use of moderately-powerful Pokemon to enforce decrees and was usually stationed out of the town's armory.
Despite most Champions outlawing the ownership of Pokemon to the vast majority of people under pains of brutal punishment, this system was inherently unstable. The Champions were frequently overthrown, often by one of their own enforcers. At some point, the common people in many regions gained more access to Pokemon in spite of the laws against it, via better technology and organization, and collectively overthrew the Champions and their enforcers in often bloody revolutions.
Today, the return of dictatorial power is prevented by almost every citizen possessing at least one Pokemon, preventing the concentration of physical power. Although far from universal, the old Champion regimes have sometimes been incorporated into the newer democratic governments, often as an alternative to being violently overthrown. Typically how this works is that the legislative body in a region is democratically elected, who then appoint judicial and agency officials. The Champions, their enforcers (typically consolidated into only four members and redubbed "The Elite Four") and the local lawmen (completely reorganized into the gym system) are collectively the Executive branch. They can only enforce the laws approved by the legislature, and it is considered extremely taboo (though not unheard of) for a Champion or Elite Four member to weigh into policy debates.