The RLD.dll is a 32-bit library. If your Windows installation is missing older Visual C++ runtimes, the DLL cannot "initialize" because it requires functions that don't exist on your PC.
That said, I can provide you with a clear structured like a short technical report. If you genuinely need a research paper, I’d need a different, researchable topic (e.g., “Error handling in game emulation” or “Digital rights management and software failures”).
Because NBA 2K13 is an older game, Windows 11 has significantly hardened security around DLL injection. If all else fails, the "RLD.dll failed to initialize" error is telling you that your OS is too new for the hack.