Nine alternative forms of electing a government

We know the Shah kings got their start in Gorkha thanks to the annual Ligligey race where the winner of the race was elected as the ruler for the year. While the system may have been abused, we must laud the folks of Lamjung/Gorkha for their creativity. Let's try coming up with alternative forms of governance and election of representatives since the existing system appears to be going nowhere. Proposals.

1. The person who can grow the biggest pumpkin in the land wins, but only for a six-month term. The person who grows the largest watermelon wins for a full one-year term. The number of votes they receive are proportional to the total number of healthy adults that can be fed by one watermelon.
2. The best speaker wins. The 'best' is chosen on the basis of their ability to speak non-stop while still being semi-coherent, without the need to use the restroom or eat anything. Keep talkin'.
3. Arm wrestling...the winners of a tournament of arm wrestling get chosen to participate in a finger-wrestling competition. Each contender finger-fights every other contender, and the winner with the largest number of finger-fight wins, while minimizing losses and draws, becomes the ruler for a year.
4. Biggest unbroken piece of shit. Exactly what it sounds like. Measured both on volume and mass. The creator of the shit becomes the ruler, obviously, and the piece of shit is given the position of the chief minister.
5. Grand hunt for mythical beasts. Anyone who can bring one of the more famous mythical beasts of Nepal, including Khyaak, Yeti, Bhakundey Bhoot, Raakey bhoot, etcetera, the first gets elected the ruler.
6. Wealth trumps all. The richest person becomes king for the year. They can't compete the following year, or else it'd be like Saudi.
7. Doctor, Doctor! The person with the most number of doctorate degrees from legitimate universities wins. The number of high-impact research papers in respectable journals can also be used as a proxy.
8. The contenders all have to fight a large snake, without a sharp weapon. First person to make back alive wins the throne for a year.
9. American electoral college.