Adoption

Adoption is a metric in TIG that acts as a market signal for “which algorithm is performing best”.

Adoption of a Code Submission

The adoption of a Code Submission $k$ is based on the number of solutions that Benchmarkers find using it.

Let

• $\text{adoption}_k(t)$ = Adoption of Code Submission $k$ at block $t$
• $\text{influence}_i(t)$ = Influence of Benchmarker $i$ at block $t$
• $\text{qualifiers}_{i,k}(t)$ = Number of solutions that Benchmarker $i$ produced with Code Submission $k$ from Benchmarks which qualify in block $t$

Then

Inside the sum, $\frac{\text{qualifiers}_{i,k}(t)}{\sum_{k'} \text{qualifiers}_{i,k'}(t)}$ is how heavily Benchmarker $i$ used algorithm $k$ during block $t$; multiplying by $\text{influence}_i(t)$ weights that usage by the Benchmarker’s stake for that block.

The result is a single value in $[0,1]$ that updates every block and feeds directly into reward and merge-point calculations.

Adoption of an Advance Submission

The adoption of an Advance Submissions $m$ is the sum of the adoption of all Code Submissions referencing it, let $K_m$ be the set of Code Submissions that reference $m$. Then the adoption of $m$ at block $t$ is denoted $\text{adoption}^m(t)$ given by