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:

$$(2*10Zeny)+(base100Zeny+(material100Zeny * 2))=320Zeny$$

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:

$$A_i = 1 + \sum_{j=1}^{i} \left( \frac{1}{P_b^j} \right)$$

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:

$$P_s = P_b \left( n_1 + \sum_{i=2}^{N} n_i \cdot A_i \right)$$

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

1. Calculate accumulated values:

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

2. 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!