Figure 4: Comparison of improved power spectrum with observational data. Solid curve is the standard non–improved result with n$_{s}$ = 0 . 967 and Ω$_{M}$ h = 0 . 16, dashed curve is the improved result with ϵ = 0 . 008 and Ω$_{M}$ h = 0 . 16. The main effect of increasing the parameter ϵ is to raise the tail of the improved power spectrum, as it is shown in the closeup. As the asymptotically safe gravity leads to running gravitational and cosmological couplings, it is a natural question to look for its effect on the cosmological models. The effect of RG improvement of the couplings as a result of asymptotic safety becomes more important at early VI Conclusions 23