One of the people in my group does very good work and is very productive. This person generates publishable results but, instead of writing them up, jumps to the next problem. I have been encouraging them for over half a year to start writing one particular paper, and we have had during this time a shared manuscript draft where I sketched the contents of the paper using bullet points, to help them get started. But nothing happens. At every meeting I tell this person how good the results are and why we need to publish them for practical (career/grants) and fundamental reasons - if we don't share the work with the community it's like it didn't get done at all. They agree with me in principle about writing up, but then nothing happens (not even small additions to the text). I got tired of waiting and started writing it up myself (keeping them as first author, I'm last). They seem ok with this, but I'm not, I would rather share the task of writing up. However, at this point I need to capitalize on all the work we've done and it looks like the easiest way to achieve that is if I write the whole thing.
I have heard about this issue (people complete the work but don't write it up, instead jumping to the next project) but this is the first time I have to deal with a situation like this directly. I would like to know if there are strategies how to incentivise this person to write, or if I should just give up and we're both better off splitting the work like that.
P.S.: The relationship with this person is perfectly fine, I insist on writing up every now and then, but don't get too pushy. I'm otherwise very happy with their performance.