Premiere Elements and Photoshop Elements not installing

You may need to install the Creative Cloud application before installing Photoshop Elements:
https://helpx.adobe.com/download-install/kb/creative-cloud-desktop-app-download.html

I had to install it to be able to install PSE 2018 on Windows 10.

Mac or Windows and exactly which version of the operating system?

If Windows...

Do not count on Windows to be fully up to date when it comes to device drivers
Go to the vendor site to be sure you have an updated driver for your graphic adapter

nVidia Driver Downloads https://www.nvidia.com/Download/index.aspx?lang=en-us
-for all Adobe programs use the STUDIO driver, not the GAMING driver
-To achieve the highest level of reliability, Studio Drivers undergo extensive
-testing against multi-app creator workflows and multiple revisions of the top
-creative applications from Adobe to Autodesk and beyond
.
If you have a laptop you MAY also need to check for a laptop specific nVidia driver
-SOME laptops require an approved driver from the laptop company, not nVidia
.
AMD/ATI Driver https://www.amd.com/en/support
.
Intel https://downloadcenter.intel.com/product/211969/Intel-HD-Graphics-Family
https://www.askwoody.com/newsletter/free-edition-working-with-the-intel-driver-support-assistant/