The better* the tyre the higher the pressure.
*Thinner, more compliant carcase meaning that it will ride smoothly over rough surfaces. A really good racing tubular tyre will happily run at 120psi and still feel slightly soft under thumb pressure.
Touring road tyres are a compromise between low rolling resistance and puncture resistance. The more rigid the carcase the slower it will roll over rough surfaces, in which case a lower pressure (as low as say 80psi for 28mm or wider) will be more efficient for that tyre.