Thanks for your response Steve.
Yes, I downloaded the Companion app from the Google Play store directly and installed it on my tablet. I don't have any or my own apps yet to connect with, so some of the other instructions didn't make any sense and wouldn't work.
As far as not connecting to the same WiFi network... I can't figure out how I'm supposed to find out if I'm on the same network, if I can't connect at all. My tablet does not have any phone capabilities, so that likely isn't the problem. I did verify that I have WiFi enabled on my tablet.
I have a D-Link wireless router here sitting at my feet, and my PC is hardwired to the router. I use ES File Explorer's FTP server to transfer files between my PC and my tablet all the time. It typically connects on address 198.162.0.107. While troubleshooting the present problem, I did check that ES File Explorer's connection was working and I did transfer a file to my tablet. I did most of my testing with ES File Explorer connected, then I shut down the ES File Explorer server on the tablet, just in case it was interfering but that didn't change anything.
As far as understanding how the MIT gateway works, yes, that's perfectly clear, and as far as I can tell, that is working. I select Connect/AI Companion on the PC, and I obtain a 6 letter code. I enter that into AI Companion on my tablet, and tap on "connect with code". Nothing at all happens on the tablet, but almost immediately, I receive the "Network Error", "Companion Connection Error See Connection Help" message box on my PC. (The Connection Help doesn't really seem to apply to this particular problem.)
Yes, I did install the AIstarter app to the default directory. One curious thing about the AIstarter app, is that it installed in the "Program Files (x86)" directory, indicating that it is a 32 bit application, yet I am on Wndows 8.1 64-bit. That isn't strange in and of itself, since most PC apps are still 32-bit, except that most of the AIstarter help that I've viewed, talked about both the "Program Files" directory (64-bit) and the "Program File (x86) directory (32-bit) as being possible destinations for AIstarter, implying that I should parhaps have a 64-bit version of the program installed on my PC, yet there wasn't a choice when I downloaded the app.
Yes, I have Adblock Plus installed. I disabled it globally. No change.
It would seem that the problem is connected with the TCP/IP stack. Neither AI Companion, nor the Emulator will connect. I assume that the Emulator talks over TCP/IP just like AI Companion, to provide a common interface to the browser.