The problem

I have been trying to install SQL Server 2012 on Windows Server 2012. I continually get the same error:

Managed SQL Server Installer has stopped working

Problem signature:
  Problem Event Name:   CLR20r3
  Problem Signature 01: scenarioengine.exe
  Problem Signature 02: 11.0.3000.0
  Problem Signature 03: 5081b97a
  Problem Signature 04: Microsoft.SqlServer.Chainer.Setup
  Problem Signature 05: 11.0.3000.0
  Problem Signature 06: 5081b97a
  Problem Signature 07: 18
  Problem Signature 08: 0
  Problem Signature 09: System.IO.FileLoadException
  OS Version:   6.2.9200.2.0.0.272.79
  Locale ID:    1033
  Additional Information 1: c319
  Additional Information 2: c3196e5863e32e0baf269d62f56cbc70
  Additional Information 3: 422d
  Additional Information 4: 422d950c58f4efd1ef1d8394fee5d263

What I've tried

After initial googling, I've tried the following things:

• Go through the list of hardware and software pre-reqs. All the software seems to be there by default on Server 2012 and my hardware meets the reqs.
• Copy the installation media to the local drive and try to install from that (rather than a DVD). This produced the same error.
• Based on another error message, I installed .NET 4.0 (which apparently is not on Server 2012 out of the box). Same error.
• Install from command line. This didn't work either, but it gave me a different error:

Error:

Unhandled Exception: System.IO.FileLoadException: Could not load file or assembl
y 'Microsoft.SqlServer.Configuration.Sco, Version=11.0.0.0, Culture=neutral, Pub
licKeyToken=89845dcd8080cc91' or one of its dependencies. Strong name validation
 failed. (Exception from HRESULT: 0x8013141A) ---> System.Security.SecurityExcep
tion: Strong name validation failed. (Exception from HRESULT: 0x8013141A)
   --- End of inner exception stack trace ---
   at Microsoft.SqlServer.Chainer.Infrastructure.InputSettingService.CheckForBoo
leanInputSettingExistenceFromCommandLine(ServiceContainer context, String settin
gName)
   at Microsoft.SqlServer.Chainer.Setup.Setup.DebugBreak(ServiceContainer contex
t)
   at Microsoft.SqlServer.Chainer.Setup.Setup.Main()

Any ideas what I am missing?