TLDR:

  1. Initially when emission of Gobblers is fast, the game is to acquire a sizable share of Multiplier supply.
  2. Supply of Goo tokens increase quadratically, very important not to get carried away by its initial price. Its price will decay very quickly.
  3. A players Goo market share tends to equal their Multiplier market share over time.
  4. Spending Goo to acquire Gobblers is a good decision. Very quickly a player with higher multi will have higher Goo balance and over time their Goo market share will resemble their Multiplier market share.
  5. I will develop a Multiplier Vault, where players can deposit their Gobblers and get Multiplier tokens in return, this is so that they can financialize their Gobblers easily.

Paradigm came up with an interesting NFT game (Art Gobblers) for keeping the amount of NFT’s held by an account in-sync with the proportion of its token supply. This post aims to provide some intuition on how to play the game at-least in the initial stages.

The ecosystem has 3 main parts:

  1. Gobbler NFTs:
    1. Feature: They can store Goo tokens and produce more Goo tokens in return. Each Gobbler has a multiplier (m) this determines how fast a Gobbler can produce Goo ($g'(t) = \sqrt{mg(t)}$ ). In standard staking mechanisms any token holder can stake and received more Goo, Gobblers give you a right to stake (key innovation IMO).
    2. Supply: Gobbler’s follow a logarithmic supply schedule and are priced via a VRGDA bonding curve, basically the price of Gobblers (priced in Goo tokens) increases or decreases exponentially if the supply deviates from supply schedule. If the supply schedule is respected then each Gobbler will cost ~69 Goo tokens.
  2. GOO tokens:
    1. Feature: Goo is an inflationary utility token with specific in-game uses. Very important not to get carried away. Goo can be used to buy Gobbler and Page NFT’s.
    2. Supply: New Goo is issued according to the staking equation, the supply of Goo will increase quadratically such that a players Goo market share will tend to be equal to their multiplier market share.
  3. Page NFTs:
    1. Feature: Creators can create Art but they will need pages to convert them into NFT’s. A Gobbler can hold several Art NFT’s in its belly.
    2. Supply: Pages follow an always increasing supply schedule and are priced via a linear VRGDA bonding curve. If the supply schedule is respected then each Page will cost ~4 Goo token (always).

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Key intuitions

Throughout the remaining blog we will take a simple case of 2 players and build intuitions using them. Let’s assume 2 players (1 and 2) are playing the game, we will build key intuitions based on how their supply progresses over time.

Intuition 1: Total supply of Goo tokens increase quadratically

If we take a case where the both the players have same total multiplier ($m_i = 1$) and same initial Goo tokens ($g_i(0) = 1$). Then we can see (charts below) that the total supply of Goo increases quadratically but the share of total supply for both the players remains same.

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Intuition 2: A players Goo market share tends to equal their Multiplier market share over time.

We take a case where the both the players have same total multiplier ($m_i = 1$) but different Goo tokens ($g_1(0) = 1, g_2(0) = 2$). Or a case where both the players have different multiplier ($m_1 = 1, m_2 = 2$) but same initial Goo tokens ($g_i(0) = 1$). Then we can see (charts below) that while gooShare of both the players starts different it tends to converge to their respective multiplierShare very quickly.