From Manifold Community Wiki

Each month—approximately—Manifold has a new league, where leagues serve as a way of competitively tracking who's best at acquiring mana through engagement with Manifold's various mana-acquisition systems.

There are six main leagues, plus one separate special league. The six main leagues are:

  • Bronze
  • Silver
  • Gold
  • Platinum
  • Diamond
  • Masters

...while the one special one is:

  • Silicon

Each league except for Masters and Silicon consists of multiple brackets, with each bracket containing up to 100 users. Thus, even if one is at the same league-rank as many others, one will be in direct competition with only relatively limitedly-many others.

New users joining Manifold are placed in the Bronze league for the month on which they joined. At the end of each month's league, users in any league other than Masters who rank particularly highly in their bracket will advance to the next higher league. (Bronze to Silver or Gold, Silver to Gold or Platinum, Gold to Platinum, Platinum to Diamond, or Diamond to Masters.) Those in leagues other than Bronze with particularly little mana earned, similarly, will drop to the next league down. Those with middling earnings will remain in whatever league they're already in. In addition, those who rank particularly highly within their leagues will gain a lump-sum bonus of mana corresponding with their rank.

The full table of mana bonuses for rank within one's league bracket, as of March 2024, is:

League rewards for the March 2024 season
Rank Bronze Silver Gold Platinum Diamond Masters
1 100 200 400 800 1600 3200
2 90 180 360 720 1440 2880
3 80 160 320 640 1280 2560
4 70 140 280 560 1120 2240
5 60 120 240 480 960 1920
6 50 100 200 400 800 1600
7 40 80 160 320 640 1500
8 60 120 240 480 1400
9 80 160 320 1300
10 80 160 1200
11 1100
12 1000
13 900
14 800
15 700
16 600
17 500
18 400
19 300
20 200

Bots don't have the whole complex league-ranking and bracketing system. All bots compete with one another in the Silicon league, instead, with no associated mana-bonuses-for-league-rank listed on the Manifold website.

A user's mana earned from the standpoint of a given league is a function of a few factors: quest bonuses (including streak bonuses, sharing bonuses, and market-creation bonuses), referral bonuses, and profits.

Profits, for league purposes, are a function of both realized and unrealized mana gains and losses from the markets one has invested in. More specifically: one's base mana, for profit-calculation purposes, is the sum estimated value of one's holdings in all markets one holds shares in as of the league's start-time. Once the league has started, if the shares one holds go up in estimated value, this is accounted as profit; if the shares one holds go down in estimated value, this is accounted as negative profit; when markets resolve, one's marginal gain or loss from the resolution relative to the shares' prior estimated value is accounted as positive or negative profit; and, when one sells shares, the sold shares' value becomes locked in at whatever amount one sold them for, as far as profit calculations are concerned. Shares one purchases initially during a league have their profit or loss calculated relative to the estimated value of those shares at the time of one's purchase, before any changes in value-etimate that might take place as a result of that purchase. A single share's estimated value, at any given point in time, is equal to the percent chance of its paying out; so, for example, a single YES share in a yes/no market at 40% is worth 0.4 mana, while a single NO share in that same market is worth 0.6, and if the market subsequently moves to 70% then the holders of those shares will respectively be considered for league purposes as having 0.3 mana profit (in the YES case) and 0.3 mana negative profit (in the NO case).

Each month's league ends, and the next month's league starts, at a randomized time on the first day of the next month, in order to avoid certain forms of market-manipulation which could otherwise distort league rankings. (In particular: it prevents a user from buying a low-valued market up to high price, or a high-valued market down to a low price, ten seconds before the end of a league, not leaving others time to buy the market back down pre-end-of-league, in order to artificially inflate their profit numbers.)