> For the complete documentation index, see [llms.txt](https://prosperitytech.gitbook.io/prosperitypad/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://prosperitytech.gitbook.io/prosperitypad/useful-info/how-the-auction-lobby-works.md).

# How The Auction Lobby Works

<figure><img src="/files/HxeqyW3Rzk8P5xIl4Au9" alt=""><figcaption><p>Auction Lobby</p></figcaption></figure>

**How the Auction Lobby Works**

The **auction lobby** functions by offering a set amount of tokens over a predetermined number of days. Each day operates as a separate auction round. The **price per token** that a user effectively pays is determined by the **total AUSD deposited** into that specific day's auction pool. The number of tokens a user receives is based on their **percentage share** of the total AUSD deposited on that day.

***

#### **How the Math Works**

* **Token Price Calculation:**\
  To determine the **price per token** for a specific auction lobby day, divide the total number of tokens available that day by the total amount of AUSD deposited.\
  **Formula:**\
  `Tokens per AUSD = Daily Available Tokens ÷ Total AUSD Deposited`

  **Example:**\
  If 22,727 tokens are available and 1,283 AUSD is deposited that day:\
  `22,727 ÷ 1,283 = ~17.71395 tokens per AUSD`
* **Token Allocation Calculation:**\
  To calculate how many tokens you will receive, determine your **percentage share** of the AUSD deposited that day, then apply that percentage to the daily available tokens.\
  **Example:**\
  If 22,727 tokens are available and the total pool is 500 AUSD, and you deposit 500 AUSD:\
  Your share = `500 ÷ 500 = 100%`\
  Tokens received = `100% of 22,727 = 22,727 tokens`

***

#### **Our Recommendation**

We recommend **spreading your deposits across multiple days** instead of placing 100% of your AUSD into a single auction day. This strategy may increase your chances of receiving a larger token allocation due to potential fluctuations in daily participation.

**Example:**\
If you have 1,000 AUSD, consider depositing 100 AUSD across 10 separate auction days. On days with lower overall participation, your contribution may represent a larger share of the pool—resulting in more tokens for the same amount of AUSD.

***

#### **Disclaimer**

This strategy does **not guarantee** a higher percentage of tokens. Because no one knows the total AUSD deposited for any auction day until it closes, **the outcome is inherently unpredictable**. However, spreading out your participation may help optimize your results by reducing exposure to high-demand days.

## Listing Price Calculations

Our launch price is the **weighted average** of all auction purchases. Even though daily prices vary, we pair the **same percentage** of USD and tokens in the LP after fees, so the **USD-per-token ratio**  and therefore the **listing price**  fairly reflects the **entire auction’s demand.**&#x20;

## 14-day auction (random, up-and-down deposits)

* Tokens auctioned per day: **1,000,000** (→ **14,000,000** total)
* Dev fee: **10%** of USD deposits
* Listing logic: pair **90% of USD** with **90% of tokens** to preserve the fair (weighted-average) price

#### Daily results

Each day’s “price” is simply **USD ÷ 1,000,000**.

| Day | USD Deposited | Tokens (day) | Day Price (USD/token) |
| --- | ------------- | ------------ | --------------------- |
| 1   | 120,000       | 1,000,000    | 0.1200                |
| 2   | 95,000        | 1,000,000    | 0.0950                |
| 3   | 180,000       | 1,000,000    | 0.1800                |
| 4   | 160,000       | 1,000,000    | 0.1600                |
| 5   | 300,000       | 1,000,000    | 0.3000                |
| 6   | 240,000       | 1,000,000    | 0.2400                |
| 7   | 500,000       | 1,000,000    | 0.5000                |
| 8   | 420,000       | 1,000,000    | 0.4200                |
| 9   | 380,000       | 1,000,000    | 0.3800                |
| 10  | 650,000       | 1,000,000    | 0.6500                |
| 11  | 600,000       | 1,000,000    | 0.6000                |
| 12  | 700,000       | 1,000,000    | 0.7000                |
| 13  | 550,000       | 1,000,000    | 0.5500                |
| 14  | 800,000       | 1,000,000    | 0.8000                |

**Totals:**

Gross USD: $5,695,000\
Total tokens: 14,000,000

***

#### Fair (weighted-average) listing price

The auction’s pooled (weighted-average) price is:

Gross USD ÷ Total Tokens = 5,695,000 ÷ 14,000,000 = **$0.406785714...**

***

Listing Structure:

* Net USD to LP: 90% × $5,695,000 = **$5,125,500**
* Tokens to LP: 90% × 14,000,000 = **12,600,000**

LP price = 5,125,500 ÷ 12,600,000 = **$0.406785714...**

✅ Same listing price as the true weighted average.

***

#### Why this is fair (plain English for investors)

* **Each day is proportional:** On any day, you got your share of that day’s 1M tokens based on how much you put in relative to others that day. That’s fair intra-day.
* **All days merge into one pool:** At launch, all USD and all tokens merge. The listing price becomes the **weighted average** of what everyone paid across all days (not a simple average of day prices).