# Ragmon Merge

Transparent Upgrade Protocol

### Enhancing NFT Capabilities

The Ragmon Merge feature in Ragnarok: Monster World offers players the thrilling opportunity to upgrade their NFTs, marking a significant evolution in gameplay and strategy. This process involves merging multiple Ragmons of the same rarity, with a cost in Zeny (ZNY) that varies depending on the rarity. When Ragmons are merged, there is a chance for the resulting Ragmon to be upgraded to the next level (e.g., from level 1 to level 2, level 2 to level 3, and so on up to the maximum level).

### Creating Value through Systematic Burning

The Ragmon Merge process systematically burns Ragmons, creating inherent value for higher-level NFTs. For instance, with a 50% upgrade chance and a merging cost of 10 Zeny, if the average price of a level 1 common tiered Ragmon is 100 Zeny, the expected price of a level 2 common tiered Ragmon would be calculated as follows:

In this way, the cost and probability of merging create intrinsic value for the upgraded NFTs.

### Transparent Control of NFT Supply

The merging system provides a transparent means of controlling the total supply of RAGMON NFTs. By adjusting the merging cost and upgrade chance, the DAO can gradually modulate the total number of NFTs. This ensures a balanced and sustainable in-game economy, even when breeding mechanisms are introduced.

### Success Rate Calculation

The success rate for merging is based on three factors: base probability, accumulated value, and the level of material monsters used. Each level has a base probability, such as 10% for level 2, 5% for level 3, 2.5% for level 4, and so on. Here’s how it works:

For leveling up from level 1 to level 2, each level 1 material Ragmon adds 10% to the success rate. Using two level 1 Ragmons results in a 20% success rate.

For higher levels, the accumulated value of material Ragmons is considered. For example, level up from level 3 to level 4:

A level 1 Ragmon adds 2.5% to the success rate.

A level 2 Ragmon’s accumulated value is based on statistical values. If a level 2 Ragmon has a 10% base probability, it statistically requires 10 level 1 Ragmons to upgrade, resulting in an accumulated value of 11.

Using a level 2 Ragmon as a material gives an accumulated value of 11 * 2.5% = 27.5%.

Combining one level 1 Ragmon (2.5%) and one level 2 Ragmon (27.5%) results in a 30% success rate.

A detailed explanation:

#### Variables

$P_b$: Base probability of success for the target level (e.g., 10% for level 2, 5% for level 3, 2.5% for level 4, etc.)

$n_1$: Number of level 1 material Ragmons used in the merge

$n_i$: Number of material Ragmons of level ( i ) used in the merge

$A_i$: Accumulated value of a level ( i ) Ragmon (statistical value based on merging probabilities)

#### Accumulated Value Calculation

The accumulated value $A_i$ for a level $i$ monster can be expressed as:

Where $P_b^j$ is the base probability for level $j$.

#### Success Rate Calculation

The success rate $P_s$ for the level merge can be expressed as:

Where $N$ is the highest level of material monster used in the merge.

#### Example Calculation

Let's go through an example:

Target level: 4

Base probabilities:

$P_b^2 = 10\%$

$P_b^3 = 5\%$

$P_b^4 = 2.5\%$

Material Ragmons:

$n_1 = 1$ (level 1)

$n_2 = 1$ (level 2)

**Step-by-Step Calculation**

Calculate accumulated values:

$A_2 = 1 + \frac{1}{P_b^2} = 1 + 10 = 11\%$

Calculate success rate:

$P_s = 2.5\% \left( 1 + 1 \cdot 11 \right) = 2.5\% \times 12 = 30\%$

Therefore, the success rate for merging from level 3 to level 4 using one level 1 Ragmon and one level 2 Ragmon is 30%.

### Yggdrasil Berry for Better Success Rate

If a merge attempt fails, the owner has a chance to receive a Yggdrasil Berry NFT (ERC1155) corresponding to the rarity level. These Berries can significantly boost the success rate of future merges, making them a valuable asset in your arsenal:

Each Berry acts as a level 1 Ragmon, applying the base success probability of the target level.

Multiple Berries can be used simultaneously, but their combined effect is capped by the success rate of the material monsters used in the merge.

For instance, if the material Ragmons have a 50% success rate, Yggdrasil Berries can only boost the merge success rate up to 50%.

The number of Berries received is randomly determined, ranging from 0 to the treasury rate of the burned Ragmons’ accumulated value. The treasury rate is subject to change based on Yggdrasil Berry supply volume.

For example, with a 50% treasury rate and accumulated value of 50 from 10 burned Ragmons, you could receive between 0 to 25 Yggdrasil Berries.

Yggdrasil Berries are a reward for failed merges, turning setbacks into opportunities. While they aren't game assets, they play a crucial role in the upgrade process.

This innovative system not only enhances the value of your Ragmon NFTs but also ensures a balanced supply and a transparent upgrade process. Yggdrasil Berries provide a second chance for success, making every merge attempt an exciting opportunity for growth and improvement. Dive into the Ragmon ecosystem and experience the thrill of turning failures into triumphs!

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