# NFT Boosts Recalibration Methodology

In the pursuit of an optimally balanced structure, various mathematical models were examined, including:

* <mark style="color:yellow;">**Linear Equations**</mark> - These equations offered a uniform increase between each tier. Although simple to calculate, they failed to adequately reflect the power value disparity between different tiers.
* <mark style="color:yellow;">**Exponential Equations with Weighted Variants**</mark> - This approach better represented the increasing value across tiers compared to the linear model. However, it quickly resulted in imbalances which were unsustainable, especially concerning the higher tiers.

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This analysis culminated in the adoption of a *<mark style="color:yellow;">**Piecewise Function**</mark>*, which accommodates for a flexible assignment of values to each tier. This strategy considers the varied values associated with each tier, maintains a base value, confines the top tier within an acceptable range and thus fosters a balanced ecosystem.