> For the complete documentation index, see [llms.txt](https://whitepaper.game.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://whitepaper.game.com/token-creation/ultra-game-curve-ugc.md).

# Ultra Game Curve (UGC)

Game.com offers a new decentralized, compliant, and robust token creation service, allowing developers to easily issue new assets.

All tokens created on Game.com follow the **Ultra Game Curve (UGC)** mechanism, which utilizes 7 different curve stages, each with distinct parameters, to optimize liquidity and price discovery at different market stages.

UGC uses a dynamic parameter curve xⁿ \* y=k, the value of "n" decreases smoothly as the market capitalization increases, ensuring stable liquidity.

$$
x^n\*y=k
$$

Where **n** is set at **32, 16, 8, 4, 3, 2, and 1**.

***

**In this model:**

* **x** represents the **fairly launch token** (e.g., project tokens)
* **y** represents the **base asset** (e.g., SOL)
* **k** is the **constant**, adjusted dynamically with transactions

**Curve Switching Logic:**

* **Low Market Cap Stage**: *Higher **n** values (e.g., **n = 32**) cause **x** to have less influence on price, suppressing whale manipulation, and allowing a smoother price start.*
* **High Market Cap Stage**: *Lower **n** values (e.g., **n = 1**) lead to a **linear growth in depth**, approaching x∗y=k, thus avoiding liquidity depletion.*


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