Hi,
There are a few things to check:
- When deploying your application, have you created an ArcGISRuntime deployment with the Deployment Builder?
- The deployment needs to include the LocalServer option.
- The deployment is contained within a folder such as "arcgisruntime10.2" which should be placed alongside your application executable
- Relative paths to the map package (.MPK) are resolved relative to your application executable.
- If you have chosen to reference the data when creating your Map Package you need to ensure that the same path is viable on your deployment machine (e.g. "C:\MyData\MapPackages\MyMapPackage.mpk").
You can also use the Local Server Utility accessed from the Start Screen/Menu to enable logging in the ArcGIS Runtime LocalServer. If you want to enable logging in your deployment you can switch this on when using the Deployment Builder.
Cheers
Mike