You can use this with Git v1.7.3 or later versions.
git rebase --strategy-option theirs ${branch} # Long option
git rebase -X theirs ${branch} # Short option
(which is a short for git rebase --strategy recursive --strategy-option theirs ${branch}
as stated by the documentation)
From Git v1.7.3 Release Notes:
git rebase --strategy <s>
learned the --strategy-option
/-X
option to pass extra options that are understood by the chosen merge strategy.
NB: “Ours” and “theirs” mean the opposite of what they do during a straight merge. In other words, “theirs” favors the commits on the current branch.