Launcher Issue - Keeps updating the same version over and over

Had the same issue, for me the following approach worked to replace

  1. In the “Finder->Application” list move the existing “EVE Launcher” to “Trash”.
  2. Download the current Mac Launcher from https://binaries.eveonline.com/EveLauncher-1434482.dmg
  3. Double-Click the downloaded dmg-package and Install the Launcher
  4. move the “Launcher” icon onto the “Application” icon
  5. Start the EVE Launcher

Hope this helps.