Sharepoint - Sharepoint 2013 Prerequisites installation failed: using Auto installer
Method 1
Install this hotfix and restart & retry.
Method 2
If Method 1 doesn't work, manually install prerequisites and restart:
Open an elevated Windows PowerShell prompt on the SharePoint server (that is, Run as Administrator), and execute the following commands:
Import-Module ServerManager
Add-WindowsFeature NET-WCF-HTTP-Activation45,NET-WCF-TCP-Activation45,NET-WCF-Pipe-Activation45
Add-WindowsFeature Net-Framework-Features,Web-Server,Web-WebServer,Web-Common-Http,Web-Static-Content,Web-Default-Doc,Web-Dir-Browsing,Web-Http-Errors,Web-App-Dev,Web-Asp-Net,Web-Net-Ext,Web-ISAPI-Ext,Web-ISAPI-Filter,Web-Health,Web-Http-Logging,Web-Log-Libraries,Web-Request-Monitor,Web-Http-Tracing,Web-Security,Web-Basic-Auth,Web-Windows-Auth,Web-Filtering,Web-Digest-Auth,Web-Performance,Web-Stat-Compression,Web-Dyn-Compression,Web-Mgmt-Tools,Web-Mgmt-Console,Web-Mgmt-Compat,Web-Metabase,Application-Server,AS-Web-Support,AS-TCP-Port-Sharing,AS-WAS-Support, AS-HTTP-Activation,AS-TCP-Activation,AS-Named-Pipes,AS-Net-Framework,WAS,WAS-Process-Model,WAS-NET-Environment,WAS-Config-APIs,Web-Lgcy-Scripting,Windows-Identity-Foundation,Server-Media-Foundation,Xps-Viewer
Source
Please go to C:\windows\System32 and find "ServerManager.exe" rename it as "ServerManagerCMD.exe" then run the prerequisite installer of sharepoint. If you need more help then you can find it from here
Hope you will find it helpful.