Tuning exploitation/exploration with inflation values

[cumene-here]

Hi, I was wondering what inflation values should be considered for EI, PI and UCB when tuning for exploration/exploitation.

Does each tuning parameter work similar to how UCB works (pasted below), where λ = 1 corresponds to following the upper confidence interval exactly, and λ > 1 values positively exaggerate the upper confidence interval, whilst λ < 1 values negatively exaggerate?

Many thanks :)