Player Ranking System

This model shows a possible division system for Pooky. This is a development prototype and not a final version; it should be treated as such.

After each matchday of a given League, players are ranking up or down.

Notable edge cases and problematic cases which have not been refined yet:

When a new division opens, all other divisions have to reduce their amount of players, leading to some people getting disranked.
How do we seed new players? After how long do we remove inactive players?
Seems harder to guarantee average rewards for higher rarities, as a bad streak can take them down by a couple ranks.

Static items:

Max players in a division is always 2x the minimum, passing this value generates a new tier.
Top tier gets an extra [5]% rewards, which is not a parameter yet but can be updated from static code.
Distribution between tiers is linear, it could need fine tuning.

Latest update 18/01/2024

Tier Number	Number of Divisions	Min Players in Divisions	Max Players in Divisions	Total Players in Tier	Tier Share of Rewards	Division Share of Rewards	$SILVER per division	Average $SILVER per player	Average USD per player
1	2	25	25	50	27.80%	13.90%	139,000	5,560.00	55.60
2	2	25	25	50	20.90%	10.45%	104,500	4,180.00	41.80
3	4	25	25	100	19.00%	4.75%	47,500	1,900.00	19.00
4	8	25	25	200	17.10%	2.14%	21,375	855.00	8.55
5	16	25	25	400	15.20%	0.95%	9,500	380.00	3.80
6	32	0	0	0	0.00%	0.00%	0	NaN	NaN