Thank you for contacting Intel Communities.
I understand you are looking for power options for the power button in Fedora 20, let me try to help you with this matter but please bear in mind that Intel offers limited support for Linux* on Intel® Compute Sticks:
This link may help you:
How do I get the shutdown menu by pressing the power button in Fedora 16
NOTE: This link is being offered for your convenience and should not be viewed as an endorsement by Intel of the content, products, or services offered there.
For more information on compatible Operating Systems, you can review the following link:
Supported Operating Systems for Intel® Compute Stick.
I have also sent you a private message.
The link you sent was helpful!
I ended up logging in as a user that was an sudoer and
$ sudo yum install dconf-editor
Then I logged in as the limited user (that runs the web app) and ran dconf-editor. In the editor I chose (from the left side of the window) ORG->Gnome->Setting Daemon->Plugins->Power
The power button was already set to "shutdown" so I set all of the other buttons to "shutdown" even though there's only the one button on the stick. So I'm not sure which one was the correct one, but now, whenever that user is active (when the machine is running its web app) a press of the power button on the stick starts an orderly shutdown.
Thank you for your help!