git merge, keep both
There is no 'merge strategy' for resolving these conflicts.
However, if you truly want a conflict like:
<<<< ours
Foo
=========
Bar
>>>> theirs
to resolve to
Foo
Bar
then you can configure the 'merge driver'. From the gitattributes man page:
union
Run 3-way file level merge for text files, but take lines from both versions, instead of leaving conflict markers. This tends to leave the added lines in the resulting file in random order and the user should verify the result. Do not use this if you do not understand the implications.
Add a line to .gitattributes to use this:
*.whatever merge=union
What about this one?
grep -v -e'^<<<<<<<' -e '^>>>>>>>' -e'=======' filename.txt > filename.tmp
mv filename.tmp filename.txt