Thanks for help but I finally found the solution. You have to run Win8 in Safe Mode with Network. Normally you can't use the wifi drivers' installer because the Windows Installer service doesn't work in Safe Mode. To make Windows Installer work under safe mode, you need to create a registry entry (this one is ONLY for safe mode WITH network) using command prompt:
REG ADD "HKLM\SYSTEM\CurrentControlSet\Control\SafeBoot\Network\MSIServer" /VE /T REG_SZ /F /D "Service"
and then:
net start msiserver
BTW I don't know if this is just my Lenovo Y580 notebook but I have the same problem with Intel chipset drivers (BSOD during updating some system devices) and using safe mode is also necessary. Furthermore I did reinstall Win8 twice and AFAIR it didn't solve the problem in both cases.