When starting i1Match 3.6 on a MacOS 10.3.9 or higher runnning in another language than English (USA) or German, it might quit unexpected directly after displaying the splash screen. The reason seems to be a conflict with Uni-Code.
To solve this issue, please change the language of your MacOS X system to US English (see System Preferences / International), then start Eye-One Match again. It should launch successfully now. After this, you can change your OS back to your native language and Eye-One Match should also launch successfully.